def extract_twamomx_terms(geofil,
vgeofil,
fil,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
alreadysaved=False,
xyasindices=False,
calledfrompv=False):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fhvgeo = dset(vgeofil)
db = -fhvgeo.variables['g'][:]
dbi = np.append(db, 0)
fhvgeo.close()
fhgeo = dset(geofil)
fh = mfdset(fil)
zi = rdp1.getdims(fh)[2][0]
dbl = -np.diff(zi) * 9.8 / 1031
if xyasindices:
(xs, xe), (ys, ye) = (xstart, xend), (ystart, yend)
_, _, dimu = rdp1.getdimsbyindx(fh,
xs,
xe,
ys,
ye,
zs=zs,
ze=ze,
ts=0,
te=None,
xhxq='xq',
yhyq='yh',
zlzi='zl')
else:
(xs, xe), (ys, ye), dimu = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
xhxq='xq')
D, (ah, aq) = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[0:2]
Dforgetutwaforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[0]
Dforgetutwaforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[0]
Dforgethvforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1, ye)[0]
dxt, dyt = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][6:8]
dxcu = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][0]
dybu = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[2][5]
nt_const = dimu[0].size
t0 = time.time()
print('Reading data using loop...')
h = fh.variables['h'][0:1, zs:ze, ys:ye, xs:xe]
u = fh.variables['u'][0:1, zs:ze, ys:ye, xs:xe]
nt = np.ones(u.shape) * nt_const
frhatu = fh.variables['frhatu'][0:1, zs:ze, ys:ye, xs:xe]
h_u = frhatu * D[np.newaxis, np.newaxis, :, :]
h_u = np.ma.masked_array(h_u, mask=(h <= 1e-3).astype(int))
nt[h <= 1e-3] -= 1
hum = (h_u * u).filled(0)
huum = (h_u * u * u).filled(0)
h_um = h_u.filled(0)
humforxdiff, h_umforxdiff, huumforxdiff = getutwaforxdiff(
fh, fhgeo, Dforgetutwaforxdiff, 0, xs - 1, xe, ys, ye, zs, ze)
humforydiff, h_umforydiff = getutwaforydiff(fh, fhgeo,
Dforgetutwaforydiff, 0, xs,
xe, ys - 1, ye + 1, zs, ze)
cau = fh.variables['CAu'][0:1, zs:ze, ys:ye, xs:xe]
gkeu = fh.variables['gKEu'][0:1, zs:ze, ys:ye, xs:xe]
rvxv = fh.variables['rvxv'][0:1, zs:ze, ys:ye, xs:xe]
hfvm = h_u * (cau - gkeu - rvxv).filled(0)
pfu = fh.variables['PFu'][0:1, zs:ze, ys:ye, xs:xe]
pfu = np.ma.masked_array(pfu, mask=(h <= 1e-3).astype(int))
pfum = pfu.filled(0)
hdudtviscm = (
h_u *
fh.variables['du_dt_visc'][0:1, zs:ze, ys:ye, xs:xe]).filled(0)
hdiffum = (h_u *
fh.variables['diffu'][0:1, zs:ze, ys:ye, xs:xe]).filled(0)
dudtdia = fh.variables['dudt_dia'][0:1, zs:ze, ys:ye, xs:xe]
wd = fh.variables['wd'][0:1, zs:ze, ys:ye, xs:xe]
wd = np.diff(wd, axis=1)
wd = np.concatenate((wd, wd[:, :, :, -1:]), axis=3)
wdm = 0.5 * (wd[:, :, :, :-1] + wd[:, :, :, 1:])
wdm = np.ma.masked_array(wdm, mask=(h <= 1e-3).astype(int))
wdm = wdm.filled(0)
huwbm = (u * (wd[:, :, :, 0:-1] + wd[:, :, :, 1:]) / 2 -
h_u * dudtdia).filled(0)
uh = fh.variables['uh'][0:1, zs:ze, ys:ye, xs - 1:xe]
uh = np.ma.filled(uh.astype(float), 0)
uhx = np.diff(uh, axis=3) / ah
uhx = np.concatenate((uhx, uhx[:, :, :, -1:]), axis=3)
huuxpTm = (u * (uhx[:, :, :, 0:-1] + uhx[:, :, :, 1:]) / 2 -
h_u * gkeu).filled(0)
vh = fh.variables['vh'][0:1, zs:ze, ys - 1:ye, xs:xe]
vh = np.ma.filled(vh.astype(float), 0)
vhy = np.diff(vh, axis=2) / ah
vhy = np.concatenate((vhy, vhy[:, :, :, -1:]), axis=3)
huvymTm = (u * (vhy[:, :, :, 0:-1] + vhy[:, :, :, 1:]) / 2 -
h_u * rvxv).filled(0)
v = fh.variables['v'][0:1, zs:ze, ys - 1:ye, xs:xe]
v = np.concatenate((v, -v[:, :, :, [-1]]), axis=3)
v = 0.25 * (v[:, :, 0:-1, 0:-1] + v[:, :, 1:, 0:-1] +
v[:, :, 0:-1, 1:] + v[:, :, 1:, 1:])
hvm = (h_u * v).filled(0)
hvmforydiff = gethvforydiff(fh, fhgeo, Dforgethvforydiff, 0, xs, xe,
ys - 1, ye, zs, ze)
wd = fh.variables['wd'][0:1, zs:ze, ys:ye, xs:xe]
wd = np.concatenate((wd, -wd[:, :, :, -1:]), axis=3)
hw = wd * dbi[:, np.newaxis, np.newaxis]
hw = 0.5 * (hw[:, 0:-1, :, :] + hw[:, 1:, :, :])
hwm_u = 0.5 * (hw[:, :, :, 0:-1] + hw[:, :, :, 1:])
hwm_u = np.ma.masked_array(hwm_u, mask=(h <= 1e-3).astype(int))
hwm_u = hwm_u.filled(0)
e = fh.variables['e'][0:1, zs:ze, ys:ye, xs:xe]
em = e / nt_const
el = 0.5 * (e[:, :-1, :, :] + e[:, 1:, :, :])
el = np.ma.masked_array(el, mask=(h <= 1e-3).astype(int))
elm = el.filled(0)
esq = el**2
esq = np.ma.masked_array(esq, mask=(h <= 1e-3).astype(int))
esqm = esq.filled(0)
el = np.concatenate((el, el[:, :, :, -1:]), axis=3)
el = 0.5 * (el[:, :, :, :-1] + el[:, :, :, 1:])
elmatu = el.filled(0)
epfum = (pfu * el).filled(0)
for i in range(1, nt_const):
h = fh.variables['h'][i:i + 1, zs:ze, ys:ye, xs:xe]
u = fh.variables['u'][i:i + 1, zs:ze, ys:ye, xs:xe]
frhatu = fh.variables['frhatu'][i:i + 1, zs:ze, ys:ye, xs:xe]
h_u = frhatu * D[np.newaxis, np.newaxis, :, :]
h_u = np.ma.masked_array(h_u, mask=(h <= 1e-3).astype(int))
nt[h <= 1e-3] -= 1
hum += (h_u * u).filled(0)
h_um += h_u.filled(0)
huforxdiff, h_uforxdiff, huuforxdiff = getutwaforxdiff(
fh, fhgeo, Dforgetutwaforxdiff, i, xs - 1, xe, ys, ye, zs, ze)
huforydiff, h_uforydiff = getutwaforydiff(fh, fhgeo,
Dforgetutwaforydiff, i,
xs, xe, ys - 1, ye + 1,
zs, ze)
humforxdiff += huforxdiff
h_umforxdiff += h_uforxdiff
huumforxdiff += huuforxdiff
humforydiff += huforydiff
h_umforydiff += h_uforydiff
cau = fh.variables['CAu'][i:i + 1, zs:ze, ys:ye, xs:xe]
gkeu = fh.variables['gKEu'][i:i + 1, zs:ze, ys:ye, xs:xe]
rvxv = fh.variables['rvxv'][i:i + 1, zs:ze, ys:ye, xs:xe]
hfv = h_u * (cau - gkeu - rvxv)
hfvm += hfv.filled(0)
pfu = fh.variables['PFu'][i:i + 1, zs:ze, ys:ye, xs:xe]
pfu = np.ma.masked_array(pfu, mask=(h <= 1e-3).astype(int))
pfum += pfu.filled(0)
hdudtvisc = h_u * fh.variables['du_dt_visc'][i:i + 1, zs:ze, ys:ye,
xs:xe]
hdudtviscm += hdudtvisc.filled(0)
hdiffu = h_u * fh.variables['diffu'][i:i + 1, zs:ze, ys:ye, xs:xe]
hdiffum += hdiffu.filled(0)
dudtdia = fh.variables['dudt_dia'][i:i + 1, zs:ze, ys:ye, xs:xe]
wd = fh.variables['wd'][i:i + 1, zs:ze, ys:ye, xs:xe]
wd = np.diff(wd, axis=1)
wd = np.concatenate((wd, wd[:, :, :, -1:]), axis=3)
huwb = (u * (wd[:, :, :, 0:-1] + wd[:, :, :, 1:]) / 2 -
h_u * dudtdia)
huwb = np.ma.masked_array(huwb, mask=(h_u <= 1e-3).astype(int))
huwbm += huwb.filled(0)
wd = 0.5 * (wd[:, :, :, :-1] + wd[:, :, :, 1:])
wd = np.ma.masked_array(wd, mask=(h <= 1e-3).astype(int))
wd = wd.filled(0)
wdm += wd
uh = fh.variables['uh'][i:i + 1, zs:ze, ys:ye, xs - 1:xe]
uh = np.ma.filled(uh.astype(float), 0)
uhx = np.diff(uh, axis=3) / ah
uhx = np.concatenate((uhx, uhx[:, :, :, -1:]), axis=3)
huuxpT = (u * (uhx[:, :, :, 0:-1] + uhx[:, :, :, 1:]) / 2 -
h_u * gkeu)
huuxpT = np.ma.masked_array(huuxpT, mask=(h_u <= 1e-3).astype(int))
huuxpTm += huuxpT.filled(0)
vh = fh.variables['vh'][i:i + 1, zs:ze, ys - 1:ye, xs:xe]
vh = np.ma.filled(vh.astype(float), 0)
vhy = np.diff(vh, axis=2) / ah
vhy = np.concatenate((vhy, vhy[:, :, :, -1:]), axis=3)
huvymT = (u * (vhy[:, :, :, 0:-1] + vhy[:, :, :, 1:]) / 2 -
h_u * rvxv)
huvymT = np.ma.masked_array(huvymT, mask=(h_u <= 1e-3).astype(int))
huvymTm += huvymT.filled(0)
v = fh.variables['v'][i:i + 1, zs:ze, ys - 1:ye, xs:xe]
v = np.concatenate((v, -v[:, :, :, [-1]]), axis=3)
v = 0.25 * (v[:, :, 0:-1, 0:-1] + v[:, :, 1:, 0:-1] +
v[:, :, 0:-1, 1:] + v[:, :, 1:, 1:])
hv = h_u * v
hvm += hv.filled(0)
hvmforydiff += gethvforydiff(fh, fhgeo, Dforgethvforydiff, i, xs,
xe, ys - 1, ye, zs, ze)
wd = fh.variables['wd'][i:i + 1, zs:ze, ys:ye, xs:xe]
wd = np.concatenate((wd, -wd[:, :, :, -1:]), axis=3)
hw = wd * dbi[:, np.newaxis, np.newaxis]
hw = 0.5 * (hw[:, 0:-1, :, :] + hw[:, 1:, :, :])
hw_u = 0.5 * (hw[:, :, :, 0:-1] + hw[:, :, :, 1:])
hw_u = np.ma.masked_array(hw_u, mask=(h <= 1e-3).astype(int))
hw_u = hw_u.filled(0)
hwm_u += hw_u
e = fh.variables['e'][i:i + 1, zs:ze, ys:ye, xs:xe]
em += e / nt_const
el = 0.5 * (e[:, :-1, :, :] + e[:, 1:, :, :])
el = np.ma.masked_array(el, mask=(h <= 1e-3).astype(int))
elm += el.filled(0)
esq = el**2
esqm += esq.filled(0)
el = np.concatenate((el, el[:, :, :, -1:]), axis=3)
el = 0.5 * (el[:, :, :, :-1] + el[:, :, :, 1:])
elmatu += el.filled(0)
epfum += (pfu * el).filled(0)
sys.stdout.write('\r' + str(int((i + 1) / nt_const * 100)) +
'% done...')
sys.stdout.flush()
fhgeo.close()
fh.close()
print('Time taken for data reading: {}s'.format(time.time() - t0))
utwa = hum / h_um
utwaforxdiff = humforxdiff / h_umforxdiff
utwaforydiff = humforydiff / h_umforydiff
utwaforxdiff[np.isnan(utwaforxdiff)] = 0
utwax = np.diff(utwaforxdiff, axis=3) / dxt
utwax = np.concatenate((utwax, -utwax[:, :, :, [-1]]), axis=3)
utwax = 0.5 * (utwax[:, :, :, 0:-1] + utwax[:, :, :, 1:])
utway = np.diff(utwaforydiff, axis=2) / dybu
utway = 0.5 * (utway[:, :, 0:-1, :] + utway[:, :, 1:, :])
humx = np.diff(humforxdiff, axis=3) / dxt
humx = np.concatenate((humx, -humx[:, :, :, [-1]]), axis=3)
humx = 0.5 * (humx[:, :, :, 0:-1] + humx[:, :, :, 1:])
hvmy = np.diff(hvmforydiff, axis=2) / dyt
hvmy = np.concatenate((hvmy, -hvmy[:, :, :, [-1]]), axis=3)
hvmy = 0.5 * (hvmy[:, :, :, 0:-1] + hvmy[:, :, :, 1:])
huuxphuvym = huuxpTm + huvymTm
huuxm = np.diff(huumforxdiff, axis=3) / dxt
huuxm = np.concatenate((huuxm, -huuxm[:, :, :, [-1]]), axis=3)
huuxm = 0.5 * (huuxm[:, :, :, 0:-1] + huuxm[:, :, :, 1:])
huvym = huuxphuvym - huuxm
utwaforvdiff = np.concatenate((utwa[:, [0], :, :], utwa), axis=1)
utwab = np.diff(utwaforvdiff, axis=1) / db[:, np.newaxis, np.newaxis]
utwab = np.concatenate(
(utwab,
np.zeros([utwab.shape[0], 1, utwab.shape[2], utwab.shape[3]])),
axis=1)
utwab = 0.5 * (utwab[:, 0:-1, :, :] + utwab[:, 1:, :, :])
hwb_u = wdm
edlsqm = esqm / nt - (elm / nt)**2
edlsqm = np.concatenate((edlsqm, edlsqm[:, :, :, [-1]]), axis=3)
edlsqmx = np.diff(edlsqm, axis=3) / dxcu * nt
edpfudm = (epfum / nt - elmatu / nt * pfum / nt) * nt
edpfudmb = np.diff(edpfudm, axis=1)
# edpfudmb = np.diff(edpfudm,axis=1)/db[1:,np.newaxis,np.newaxis]
edpfudmb = np.concatenate(
(edpfudmb[:, :1, :, :], edpfudmb, edpfudmb[:, -1:, :, :]), axis=1)
edpfudmb = 0.5 * (edpfudmb[:, :-1, :, :] + edpfudmb[:, 1:, :, :])
advx = utwa * utwax
advy = hvm * utway / h_um
advb = hwm_u * utwab / h_um
cor = hfvm / h_um
pfum = pfum / nt
xdivep1 = huuxm / h_um
xdivep2 = -advx
xdivep3 = -utwa * humx / h_um
xdivep4 = 0.5 * edlsqmx * dbl[:, np.newaxis, np.newaxis] / h_um
xdivep = (xdivep1 + xdivep2 + xdivep3 + xdivep4)
ydivep1 = huvym / h_um
ydivep2 = -advy
ydivep3 = -utwa * hvmy / h_um
ydivep = (ydivep1 + ydivep2 + ydivep3)
bdivep1 = huwbm / h_um
bdivep2 = -advb
bdivep3 = -utwa * hwb_u / h_um
bdivep4 = edpfudmb / h_um
bdivep = (bdivep1 + bdivep2 + bdivep3 + bdivep4)
X1twa = hdiffum / h_um
X2twa = hdudtviscm / h_um
terms = np.ma.concatenate(
(-advx[:, :, :, :, np.newaxis], -advy[:, :, :, :, np.newaxis],
-advb[:, :, :, :, np.newaxis], cor[:, :, :, :, np.newaxis],
pfum[:, :, :, :, np.newaxis], -xdivep[:, :, :, :, np.newaxis],
-ydivep[:, :, :, :, np.newaxis], -bdivep[:, :, :, :, np.newaxis],
X1twa[:, :, :, :, np.newaxis], X2twa[:, :, :, :, np.newaxis]),
axis=4)
termsep = np.ma.concatenate(
(xdivep1[:, :, :, :, np.newaxis], xdivep3[:, :, :, :, np.newaxis],
xdivep4[:, :, :, :, np.newaxis], ydivep1[:, :, :, :, np.newaxis],
ydivep3[:, :, :, :, np.newaxis], bdivep1[:, :, :, :, np.newaxis],
bdivep3[:, :, :, :, np.newaxis], bdivep4[:, :, :, :, np.newaxis]),
axis=4)
terms[np.isinf(terms)] = np.nan
termsep[np.isinf(termsep)] = np.nan
termsm = np.ma.apply_over_axes(np.nanmean, terms, meanax)
termsepm = np.ma.apply_over_axes(np.nanmean, termsep, meanax)
elm = 0.5 * (em[:, :-1, :, :] + em[:, 1:, :, :])
X = dimu[keepax[1]]
Y = dimu[keepax[0]]
if 1 in keepax:
em = np.ma.apply_over_axes(np.mean, em, meanax)
elm = np.ma.apply_over_axes(np.mean, elm, meanax)
Y = elm.squeeze()
X = np.meshgrid(X, dimu[1])[0]
P = termsm.squeeze()
P = np.ma.filled(P.astype(float), np.nan)
Pep = termsepm.squeeze()
Pep = np.ma.filled(Pep.astype(float), np.nan)
X = np.ma.filled(X.astype(float), np.nan)
Y = np.ma.filled(Y.astype(float), np.nan)
if not calledfrompv:
np.savez('twamomx_complete_terms', X=X, Y=Y, P=P, Pep=Pep)
else:
npzfile = np.load('twamomx_complete_terms.npz')
X = npzfile['X']
Y = npzfile['Y']
P = npzfile['P']
Pep = npzfile['Pep']
return (X, Y, P, Pep)
def extract_twamomy_terms(geofil,
vgeofil,
fil,
fil2,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
fil3=None,
alreadysaved=False,
xyasindices=False,
calledfrompv=False,
z=np.linspace(-3000, 0, 100),
htol=1e-3):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fhvgeo = dset(vgeofil)
db = -fhvgeo.variables['g'][:]
dbi = np.append(db, 0)
fhvgeo.close()
fhgeo = dset(geofil)
fh = mfdset(fil)
fh2 = mfdset(fil2)
zi = rdp1.getdims(fh)[2][0]
dbl = np.diff(zi) * 9.8 / 1031
if xyasindices:
(xs, xe), (ys, ye) = (xstart, xend), (ystart, yend)
_, _, dimv = rdp1.getdimsbyindx(fh,
xs,
xe,
ys,
ye,
zs=zs,
ze=ze,
ts=0,
te=None,
xhxq='xh',
yhyq='yq',
zlzi='zl')
else:
(xs, xe), (ys, ye), dimv = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
yhyq='yq')
sl = np.s_[:, :, ys:ye, xs:xe]
slmx = np.s_[:, :, ys:ye, xs - 1:xe]
D, (ah, aq) = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[0:2]
Dforgetutwaforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[0]
Dforgetutwaforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[0]
Dforgethvforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1, ye)[0]
dxt, dyt = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[2][6:8]
dxcv, dycv = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][2:4]
dxcvforxdiff, dycvforxdiff = rdp1.getgeombyindx(
fhgeo, xs - 1, xe, ys, ye)[2][2:4]
dxcvforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[2][3:4]
dxbu, dybu = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[2][4:6]
nt_const = dimv[0].size
t0 = time.time()
dt = fh.variables['average_DT'][:]
dt = dt[:, np.newaxis, np.newaxis, np.newaxis]
if fil3:
fh3 = mfdset(fil3)
slmxtn = np.s_[-1:, :, ys:ye, xs - 1:xe]
# islayerdeep0 = fh3.variables['islayerdeep'][:,0,0,0].sum()
# islayerdeep = (fh3.variables['islayerdeep'][slmx].filled(np.nan)).sum(axis=0,
# keepdims=True)
islayerdeep0 = fh3.variables['islayerdeep'][-1:, 0, 0, 0]
islayerdeep = (fh3.variables['islayerdeep'][slmxtn].filled(np.nan))
islayerdeep[:, :, :, -1:] = islayerdeep[:, :, :, -2:-1]
swash = (islayerdeep0 - islayerdeep) / islayerdeep0 * 100
swash = 0.5 * (swash[:, :, :, :-1] + swash[:, :, :, 1:])
fh3.close()
else:
swash = None
em = (fh2.variables['e'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
elm = 0.5 * (em[:, 0:-1, :, :] + em[:, 1:, :, :])
vh = (fh.variables['vh_masked'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
h_cv = (fh.variables['h_Cv'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
h_cv[h_cv < htol] = np.nan
h_vm = h_cv
vtwa = vh / h_cv / dxcv
vhforxdiff = (fh.variables['vh_masked'][0:, zs:ze, ys:ye, xs - 1:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
h_cvforxdiff = (fh.variables['h_Cv'][0:, zs:ze, ys:ye, xs - 1:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
h_cvforxdiff[h_cvforxdiff < htol] = np.nan
vtwaforxdiff = vhforxdiff / h_cvforxdiff #/dxcvforxdiff
vtwaforxdiff = np.concatenate(
(vtwaforxdiff, vtwaforxdiff[:, :, :, -1:]), axis=3)
vhforydiff = (
fh.variables['vh_masked'][0:, zs:ze, ys - 1:ye + 1, xs:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
h_cvforydiff = (fh.variables['h_Cv'][0:, zs:ze, ys - 1:ye + 1, xs:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
h_cvforydiff[h_cvforydiff < htol] = np.nan
vtwaforydiff = vhforydiff / h_cvforydiff #/dxcvforydiff
vtwax = np.diff(vtwaforxdiff, axis=3) / dxbu / dybu
vtwax = 0.5 * (vtwax[:, :, :, 0:-1] + vtwax[:, :, :, 1:])
vtway = np.diff(vtwaforydiff, axis=2) / dyt / dxt
vtway = 0.5 * (vtway[:, :, 0:-1, :] + vtway[:, :, 1:, :])
hvmy = np.diff(vhforydiff, axis=2) / dyt / dxt
hvmy = 0.5 * (hvmy[:, :, :-1, :] + hvmy[:, :, 1:, :])
uh = (fh.variables['uh_masked'][0:, zs:ze, ys:ye + 1, xs - 1:xe] *
dt).filled(0).sum(axis=0, keepdims=True) / np.sum(dt)
hum = 0.25 * (uh[:, :, :-1, :-1] + uh[:, :, :-1, 1:] +
uh[:, :, 1:, :-1] + uh[:, :, 1:, 1:]) / dycv
humx = np.diff(np.nan_to_num(uh), axis=3) / dxt / dyt
humx = 0.5 * (humx[:, :, :-1, :] + humx[:, :, 1:, :])
huvxphvvym = (
fh.variables['twa_huvxpt'][0:, zs:ze, ys:ye, xs:xe] * dt +
fh.variables['twa_hvvymt'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hvv = (fh.variables['hvv_Cv'][0:, zs:ze, ys - 1:ye + 1, xs:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
hvvym = np.diff(hvv, axis=2) / dxt / dyt
hvvym = 0.5 * (hvvym[:, :, :-1, :] + hvvym[:, :, 1:, :])
# hvv = (fh.variables['hvv_T'][0:,zs:ze,ys:ye+1,xs:xe]*dt).sum(axis=0,keepdims=True)*dxt/np.sum(dt)
# hvvym = np.diff(hvv,axis=2)/dycv/dxcv
huvxm = -(huvxphvvym + hvvym)
# hvv = (fh.variables['hvv_Cv'][0:,zs:ze,ys-1:ye+1,xs:xe]*dt).sum(axis=0,keepdims=True)/np.sum(dt)
# hvvym = np.diff(hvv,axis=2)/dxt/dyt
# hvvym = 0.5*(hvvym[:,:,:-1,:] + hvvym[:,:,1:,:])
# huv = (fh.variables['huv_Bu'][0:,zs:ze,ys:ye,xs-1:xe].filled(0)*dt).sum(axis=0,keepdims=True)/np.sum(dt)
# huvxm = np.diff(huv,axis=3)/dxcv
vtwaforvdiff = np.concatenate((vtwa[:, [0], :, :], vtwa), axis=1)
vtwab = np.diff(vtwaforvdiff, axis=1) / db[:, np.newaxis, np.newaxis]
vtwab = np.concatenate(
(vtwab,
np.zeros([vtwab.shape[0], 1, vtwab.shape[2], vtwab.shape[3]])),
axis=1)
vtwab = 0.5 * (vtwab[:, 0:-1, :, :] + vtwab[:, 1:, :, :])
hwb = (fh2.variables['wd'][0:, zs:ze, ys:ye + 1, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hwb = np.diff(hwb, axis=1)
hwb_v = 0.5 * (hwb[:, :, :-1, :] + hwb[:, :, 1:, :])
hwb = (fh2.variables['wd'][0:, zs:ze, ys:ye + 1, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hwm = hwb_v * dbl[:, np.newaxis, np.newaxis]
hwm = 0.5 * (hwb[:, :-1] + hwb[:, 1:]) * dbl[:, np.newaxis, np.newaxis]
hwm_v = 0.5 * (hwm[:, :, :-1, :] + hwm[:, :, 1:, :])
#hwb_v = fh.variables['hwb_Cv'][0:,zs:ze,ys:ye,xs:xe]
#hwm_v = fh.variables['hw_Cv'][0:,zs:ze,ys:ye,xs:xe]
esq = (fh.variables['esq'][0:, zs:ze, ys:ye + 1, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
emforydiff = (fh2.variables['e'][0:, zs:ze, ys:ye + 1, xs:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
elmforydiff = 0.5 * (emforydiff[:, 0:-1, :, :] +
emforydiff[:, 1:, :, :])
edlsqm = (esq - elmforydiff**2)
edlsqmy = np.diff(edlsqm, axis=2) / dycv
hpfv = (fh.variables['twa_hpfv'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
pfvm = (fh2.variables['PFv'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
edpfvdmb = -hpfv + h_cv * pfvm - 0.5 * edlsqmy * dbl[:, np.newaxis,
np.newaxis]
hmfum = (fh.variables['twa_hmfu'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hvwbm = (fh.variables['twa_hvwb'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hdiffvm = (fh.variables['twa_hdiffv'][0:, zs:ze, ys:ye, xs:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
hdvdtviscm = (fh.variables['twa_hdvdtvisc'][0:, zs:ze, ys:ye, xs:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
fh2.close()
fh.close()
advx = hum * vtwax / h_vm
advy = vtwa * vtway
advb = hwm_v * vtwab / h_vm
cor = hmfum / h_vm
pfvm = pfvm
xdivep1 = -huvxm / h_vm
xdivep2 = advx
xdivep3 = vtwa * humx / h_vm
xdivep = (xdivep1 + xdivep2 + xdivep3)
ydivep1 = -hvvym / h_vm
ydivep2 = advy
ydivep3 = vtwa * hvmy / h_vm
ydivep4 = -0.5 * edlsqmy * dbl[:, np.newaxis, np.newaxis] / h_vm
ydivep = (ydivep1 + ydivep2 + ydivep3 + ydivep4)
bdivep1 = hvwbm / h_vm
bdivep2 = advb
bdivep3 = vtwa * hwb_v / h_vm
bdivep4 = -edpfvdmb / h_vm
bdivep = (bdivep1 + bdivep2 + bdivep3 + bdivep4)
Y1twa = hdiffvm / h_vm
Y2twa = hdvdtviscm / h_vm
terms = np.concatenate(
(-advx[:, :, :, :, np.newaxis], -advy[:, :, :, :, np.newaxis],
-advb[:, :, :, :, np.newaxis], cor[:, :, :, :, np.newaxis],
pfvm[:, :, :, :, np.newaxis], xdivep[:, :, :, :, np.newaxis],
ydivep[:, :, :, :, np.newaxis], bdivep[:, :, :, :, np.newaxis],
Y1twa[:, :, :, :, np.newaxis], Y2twa[:, :, :, :, np.newaxis]),
axis=4)
termsep = np.concatenate(
(xdivep1[:, :, :, :, np.newaxis], xdivep3[:, :, :, :, np.newaxis],
ydivep1[:, :, :, :, np.newaxis], ydivep3[:, :, :, :, np.newaxis],
ydivep4[:, :, :, :, np.newaxis], bdivep1[:, :, :, :, np.newaxis],
bdivep3[:, :, :, :, np.newaxis], bdivep4[:, :, :, :, np.newaxis]),
axis=4)
termsm = np.nanmean(terms, meanax, keepdims=True)
termsepm = np.nanmean(termsep, meanax, keepdims=True)
X = dimv[keepax[1]]
Y = dimv[keepax[0]]
if 1 in keepax and not calledfrompv:
em = np.nanmean(em, axis=meanax, keepdims=True)
elm = np.nanmean(elm, axis=meanax, keepdims=True)
#z = np.linspace(-3000,0,100)
Y = z
P = getvaratzc5(termsm.astype(np.float32), z.astype(np.float32),
em.astype(np.float32))
Pep = getvaratzc5(termsepm.astype(np.float32),
z.astype(np.float32), em.astype(np.float32))
if fil3:
swash = np.nanmean(swash, meanax, keepdims=True)
swash = getvaratzc(swash.astype(np.float32),
z.astype(np.float32),
em.astype(np.float32)).squeeze()
else:
P = termsm.squeeze()
Pep = termsepm.squeeze()
if not calledfrompv:
np.savez('twamomy_complete_terms', X=X, Y=Y, P=P, Pep=Pep)
else:
npzfile = np.load('twamomy_complete_terms.npz')
X = npzfile['X']
Y = npzfile['Y']
P = npzfile['P']
Pep = npzfile['Pep']
return (X, Y, P, Pep, swash, em.squeeze())
def extract_pvterms(geofil,
fil,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
savfil=None,
alreadysaved=False):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fh = mfdset(fil)
(xs, xe), (ys, ye), dimq = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
xhxq='xq',
yhyq='yq')
_, _, dimqp1 = rdp1.getdimsbyindx(fh,
xs,
xe,
ys - 1,
ye,
zs=zs,
ze=ze,
xhxq='xq',
yhyq='yq')
D, (ah, aq), (dxcu, dycu, dxcv, dycv, dxbu, dybu, dxt,
dyt) = rdp1.getgeombyindx(geofil, xs, xe, ys, ye)[0:3]
D_u = rdp1.getgeombyindx(geofil, xs, xe, ys - 1, ye)[0]
D_v = rdp1.getgeombyindx(geofil, xs - 1, xe, ys, ye)[0]
nt = dimq[0].size
omega = 2 * np.pi / 24 / 3600 + 2 * np.pi / 24 / 3600 / 365
R = 6378000
f_q = 2 * omega * np.sin(dimq[2] * np.pi / 180)
beta = 2 * omega * np.cos(dimq[2][None, :, None] * np.pi / 180) / R
t0 = time.time()
frhatu = fh.variables['frhatu'][0:1, zs:ze, ys - 1:ye, xs:xe]
frhatv = fh.variables['frhatv'][0:1, zs:ze, ys:ye, xs - 1:xe]
h_u = frhatu * D_u[np.newaxis, np.newaxis, :, :]
h_v = frhatv * D_v[np.newaxis, np.newaxis, :, :]
h_q = 0.25 * (h_u[:, :, 0:-1, :] + h_u[:, :, 1:, :] +
h_v[:, :, :, 0:-1] + h_v[:, :, :, 1:])
h = fh.variables['h'][0:1, zs:ze, ys:ye, xs:xe]
u = fh.variables['u'][0:1, zs:ze, ys:ye, xs - 1:xe]
v = fh.variables['v'][0:1, zs:ze, ys - 1:ye, xs:xe]
uh = fh.variables['uh'][0:1, zs:ze, ys:ye, xs - 1:xe]
vh = fh.variables['vh'][0:1, zs:ze, ys - 1:ye, xs:xe]
wd = fh.variables['wd'][0:1, zs:ze, ys:ye, xs:xe]
cau = fh.variables['CAu'][0:1, zs:ze, ys:ye + 1, xs:xe]
gkeu = fh.variables['gKEu'][0:1, zs:ze, ys:ye + 1, xs:xe]
rvxv = fh.variables['rvxv'][0:1, zs:ze, ys:ye + 1, xs:xe]
pfu = fh.variables['PFu'][0:1, zs:ze, ys:ye + 1, xs:xe]
dudtvisc = fh.variables['du_dt_visc'][0:1, zs:ze, ys:ye + 1, xs:xe]
diffu = fh.variables['diffu'][0:1, zs:ze, ys:ye + 1, xs:xe]
cav = fh.variables['CAv'][0:1, zs:ze, ys:ye, xs:xe + 1]
gkev = fh.variables['gKEv'][0:1, zs:ze, ys:ye, xs:xe + 1]
rvxu = fh.variables['rvxu'][0:1, zs:ze, ys:ye, xs:xe + 1]
pfv = fh.variables['PFv'][0:1, zs:ze, ys:ye, xs:xe + 1]
diffv = fh.variables['diffv'][0:1, zs:ze, ys:ye, xs:xe + 1]
dvdtvisc = fh.variables['dv_dt_visc'][0:1, zs:ze, ys:ye, xs:xe + 1]
uadv = -gkeu - rvxv
uadv = np.ma.filled(uadv.astype(float), 0)
uadvym = h_q * (np.diff(uadv, axis=2) / dybu) / nt
vadv = -gkev - rvxu
vadv = np.ma.filled(vadv.astype(float), 0)
vadvxm = h_q * (diffx_bound(vadv, dxbu)) / nt
fv = cau - gkeu - rvxv
fv = np.ma.filled(fv.astype(float), 0)
fvym = h_q * (np.diff(fv, axis=2) / dybu) / nt
fu = -cav + gkev + rvxu
fu = np.ma.filled(fu.astype(float), 0)
fuxm = h_q * (diffx_bound(fu, dxbu)) / nt
Y1 = diffv
Y1 = np.ma.filled(Y1.astype(float), 0)
Y1xm = h_q * (diffx_bound(Y1, dxbu)) / nt
Y2 = dvdtvisc
Y2 = np.ma.filled(Y2.astype(float), 0)
Y2xm = h_q * (diffx_bound(Y2, dxbu)) / nt
# hbetavm = (h_v*beta*v)/nt
u = np.ma.filled(u.astype(float), 0)
ux = np.diff(u, axis=3) / dxt
v = np.ma.filled(v.astype(float), 0)
vy = np.diff(v, axis=2) / dyt
uh = np.ma.filled(uh.astype(float), 0)
uh_x = np.diff(uh, axis=3) / ah
uhxm = f_q[np.newaxis, np.newaxis, :,
np.newaxis] * (uh_x - h * ux) / nt
vh = np.ma.filled(vh.astype(float), 0)
vh_y = np.diff(vh, axis=2) / ah
vhym = f_q[np.newaxis, np.newaxis, :,
np.newaxis] * (vh_y - h * vy) / nt
fdiapycm = f_q[np.newaxis, np.newaxis, :, np.newaxis] * np.diff(
wd, axis=1) / nt
if 1 in keepax:
em = fh.variables['e'][0:1, zs:ze, ys:ye, xs:xe] / nt
for i in range(1, nt):
frhatu = fh.variables['frhatu'][i:i + 1, zs:ze, ys - 1:ye, xs:xe]
frhatv = fh.variables['frhatv'][i:i + 1, zs:ze, ys:ye, xs - 1:xe]
h_u = frhatu * D_u[np.newaxis, np.newaxis, :, :]
h_v = frhatv * D_v[np.newaxis, np.newaxis, :, :]
h_q = 0.25 * (h_u[:, :, 0:-1, :] + h_u[:, :, 1:, :] +
h_v[:, :, :, 0:-1] + h_v[:, :, :, 1:])
h = fh.variables['h'][i:i + 1, zs:ze, ys:ye, xs:xe]
u = fh.variables['u'][i:i + 1, zs:ze, ys:ye, xs - 1:xe]
v = fh.variables['v'][i:i + 1, zs:ze, ys - 1:ye, xs:xe]
uh = fh.variables['uh'][i:i + 1, zs:ze, ys:ye, xs - 1:xe]
vh = fh.variables['vh'][i:i + 1, zs:ze, ys - 1:ye, xs:xe]
wd = fh.variables['wd'][i:i + 1, zs:ze, ys:ye, xs:xe]
cau = fh.variables['CAu'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
gkeu = fh.variables['gKEu'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
rvxv = fh.variables['rvxv'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
pfu = fh.variables['PFu'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
dudtvisc = fh.variables['du_dt_visc'][i:i + 1, zs:ze, ys:ye + 1,
xs:xe]
diffu = fh.variables['diffu'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
cav = fh.variables['CAv'][i:i + 1, zs:ze, ys:ye, xs:xe + 1]
gkev = fh.variables['gKEv'][i:i + 1, zs:ze, ys:ye, xs:xe + 1]
rvxu = fh.variables['rvxu'][i:i + 1, zs:ze, ys:ye, xs:xe + 1]
pfv = fh.variables['PFv'][i:i + 1, zs:ze, ys:ye, xs:xe + 1]
diffv = fh.variables['diffv'][i:i + 1, zs:ze, ys:ye, xs:xe + 1]
dvdtvisc = fh.variables['dv_dt_visc'][i:i + 1, zs:ze, ys:ye,
xs:xe + 1]
uadv = -gkeu - rvxv
uadv = np.ma.filled(uadv.astype(float), 0)
uadvym += h_q * (np.diff(uadv, axis=2) / dybu) / nt
vadv = -gkev - rvxu
vadv = np.ma.filled(vadv.astype(float), 0)
vadvxm += h_q * (diffx_bound(vadv, dxbu)) / nt
fv = cau - gkeu - rvxv
fv = np.ma.filled(fv.astype(float), 0)
fvym += h_q * (np.diff(fv, axis=2) / dybu) / nt
fu = -cav + gkev + rvxu
fu = np.ma.filled(fu.astype(float), 0)
fuxm += h_q * (diffx_bound(fu, dxbu)) / nt
Y1 = diffv
Y1 = np.ma.filled(Y1.astype(float), 0)
Y1xm += h_q * (diffx_bound(Y1, dxbu)) / nt
Y2 = dvdtvisc
Y2 = np.ma.filled(Y2.astype(float), 0)
Y2xm += h_q * (diffx_bound(Y2, dxbu)) / nt
# hbetavm += (h_v*beta*v)/nt
u = np.ma.filled(u.astype(float), 0)
ux = np.diff(u, axis=3) / dxt
v = np.ma.filled(v.astype(float), 0)
vy = np.diff(v, axis=2) / dyt
uh = np.ma.filled(uh.astype(float), 0)
uh_x = np.diff(uh, axis=3) / ah
uhxm += f_q[np.newaxis, np.newaxis, :,
np.newaxis] * (uh_x - h * ux) / nt
vh = np.ma.filled(vh.astype(float), 0)
vh_y = np.diff(vh, axis=2) / ah
vhym += f_q[np.newaxis, np.newaxis, :,
np.newaxis] * (vh_y - h * vy) / nt
fdiapycm += f_q[np.newaxis, np.newaxis, :, np.newaxis] * np.diff(
wd, axis=1) / nt
if 1 in keepax:
em += fh.variables['e'][i:i + 1, zs:ze, ys:ye, xs:xe] / nt
sys.stdout.write('\r' + str(int((i + 1) / nt * 100)) + '% done...')
sys.stdout.flush()
fh.close()
print('Time taken for reading: {}'.format(time.time() - t0))
terms = np.ma.concatenate(
(uadvym[:, :, :, :, np.newaxis], vadvxm[:, :, :, :, np.newaxis],
Y1xm[:, :, :, :, np.newaxis], Y2xm[:, :, :, :, np.newaxis],
fdiapycm[:, :, :, :, np.newaxis], uhxm[:, :, :, :, np.newaxis],
vhym[:, :, :, :, np.newaxis]),
axis=4)
termsm = np.ma.apply_over_axes(np.nanmean, terms, meanax)
X = dimq[keepax[1]]
Y = dimq[keepax[0]]
if 1 in keepax:
elm = 0.5 * (em[:, 0:-1, :, :] + em[:, 1:, :, :])
em = np.ma.apply_over_axes(np.mean, em, meanax)
elm = np.ma.apply_over_axes(np.mean, elm, meanax)
Y = elm.squeeze()
X = np.meshgrid(X, dimq[1])[0]
P = termsm.squeeze()
P = np.ma.filled(P.astype(float), np.nan)
X = np.ma.filled(X.astype(float), np.nan)
Y = np.ma.filled(Y.astype(float), np.nan)
np.savez('pv_terms', X=X, Y=Y, P=P)
else:
npzfile = np.load('pv_terms.npz')
X = npzfile['X']
Y = npzfile['Y']
P = npzfile['P']
return (X, Y, P)
def extract_twamomy_terms(geofil,
vgeofil,
fil,
fil2,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
alreadysaved=False,
xyasindices=False,
calledfrompv=False):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fhvgeo = dset(vgeofil)
db = -fhvgeo.variables['g'][:]
dbi = np.append(db, 0)
fhvgeo.close()
fhgeo = dset(geofil)
fh = mfdset(fil)
fh2 = mfdset(fil2)
zi = rdp1.getdims(fh)[2][0]
dbl = np.diff(zi) * 9.8 / 1031
if xyasindices:
(xs, xe), (ys, ye) = (xstart, xend), (ystart, yend)
_, _, dimv = rdp1.getdimsbyindx(fh,
xs,
xe,
ys,
ye,
zs=zs,
ze=ze,
ts=0,
te=None,
xhxq='xh',
yhyq='yq',
zlzi='zl')
else:
(xs, xe), (ys, ye), dimv = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
yhyq='yq')
D, (ah, aq) = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[0:2]
Dforgetutwaforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[0]
Dforgetutwaforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[0]
Dforgethvforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1, ye)[0]
dxt, dyt = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[2][6:8]
dxcv, dycv = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][2:4]
dxcvforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[2][2:3]
dxcvforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[2][3:4]
dxbu = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[2][4]
nt_const = dimv[0].size
t0 = time.time()
em = fh.variables['e'][0:, zs:ze, ys:ye, xs:xe]
elm = 0.5 * (em[:, 0:-1, :, :] + em[:, 1:, :, :])
vh = fh2.variables['vh'][0:, zs:ze, ys:ye, xs:xe]
h_cv = fh.variables['h_Cv'][0:, zs:ze, ys:ye, xs:xe]
h_vm = h_cv
vtwa = vh / h_cv / dxcv
vhforxdiff = fh2.variables['vh'][0:, zs:ze, ys:ye, xs - 1:xe]
h_cvforxdiff = fh.variables['h_Cv'][0:, zs:ze, ys:ye, xs - 1:xe]
vtwaforxdiff = vhforxdiff / h_cvforxdiff / dxcvforxdiff
vtwaforxdiff = np.concatenate(
(vtwaforxdiff, vtwaforxdiff[:, :, :, -1:]), axis=3)
vhforydiff = fh2.variables['vh'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
h_cvforydiff = fh.variables['h_Cv'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
vtwaforydiff = vhforydiff / h_cvforydiff / dxcvforydiff
vtwax = np.diff(vtwaforxdiff, axis=3) / dxbu
vtwax = 0.5 * (vtwax[:, :, :, 0:-1] + vtwax[:, :, :, 1:])
vtway = np.diff(vtwaforydiff, axis=2) / dyt
vtway = 0.5 * (vtway[:, :, 0:-1, :] + vtway[:, :, 1:, :])
hvmy = np.diff(vhforydiff / dxcvforydiff, axis=2) / dyt
hvmy = 0.5 * (hvmy[:, :, :-1, :] + hvmy[:, :, 1:, :])
hum = fh.variables['hu_Cv'][0:, zs:ze, ys:ye, xs:xe]
humforxdiff = fh.variables['hu_Cv'][0:, zs:ze, ys:ye, xs - 1:xe]
humforxdiff = np.concatenate((humforxdiff, -humforxdiff[:, :, :, -1:]),
axis=3)
humx = np.diff(humforxdiff, axis=3) / dxbu
humx = 0.5 * (humx[:, :, :, :-1] + humx[:, :, :, 1:])
huvxphvvym = fh.variables['twa_huvxpt'][
0:, zs:ze, ys:ye, xs:xe] + fh.variables['twa_hvvymt'][0:, zs:ze,
ys:ye, xs:xe]
hvv = fh.variables['hvv_Cv'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
hvvym = np.diff(hvv, axis=2) / dyt
hvvym = 0.5 * (hvvym[:, :, :-1, :] + hvvym[:, :, 1:, :])
huvxm = huvxphvvym - hvvym
vtwaforvdiff = np.concatenate((vtwa[:, [0], :, :], vtwa), axis=1)
vtwab = np.diff(vtwaforvdiff, axis=1) / db[:, np.newaxis, np.newaxis]
vtwab = np.concatenate(
(vtwab,
np.zeros([vtwab.shape[0], 1, vtwab.shape[2], vtwab.shape[3]])),
axis=1)
vtwab = 0.5 * (vtwab[:, 0:-1, :, :] + vtwab[:, 1:, :, :])
hwb_v = fh.variables['hwb_Cv'][0:, zs:ze, ys:ye, xs:xe]
hwm_v = fh.variables['hw_Cv'][0:, zs:ze, ys:ye, xs:xe]
esq = fh.variables['esq_Cv'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
ecv = fh.variables['e_Cv'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
edlsqm = (esq - ecv**2)
edlsqmy = np.diff(edlsqm, axis=2) / dyt
edlsqmy = 0.5 * (edlsqmy[:, :, :-1, :] + edlsqmy[:, :, 1:, :])
epfv = fh.variables['epfv'][0:, zs:ze, ys:ye, xs:xe]
ecv = fh.variables['e_Cv'][0:, zs:ze, ys:ye, xs:xe]
pfvm = fh.variables['pfv_masked'][0:, zs:ze, ys:ye, xs:xe]
edpfvdm = epfv - pfvm * ecv
edpfvdmb = np.diff(edpfvdm, axis=1)
edpfvdmb = np.concatenate(
(edpfvdmb[:, :1, :, :], edpfvdmb, edpfvdmb[:, -1:, :, :]), axis=1)
edpfvdmb = 0.5 * (edpfvdmb[:, :-1, :, :] + edpfvdmb[:, 1:, :, :])
hmfum = fh.variables['twa_hmfu'][0:1, zs:ze, ys:ye, xs:xe]
hvwbm = fh.variables['twa_hvwb'][0:1, zs:ze, ys:ye, xs:xe]
hdiffvm = fh.variables['twa_hdiffv'][0:1, zs:ze, ys:ye, xs:xe]
hdvdtviscm = fh.variables['twa_hdvdtvisc'][0:1, zs:ze, ys:ye, xs:xe]
fh2.close()
fh.close()
advx = hum * vtwax / h_vm
advy = vtwa * vtway
advb = hwm_v * vtwab / h_vm
cor = hmfum / h_vm
pfvm = pfvm
xdivep1 = -huvxm / h_vm
xdivep2 = -advx
xdivep3 = -vtwa * humx / h_vm
xdivep = (xdivep1 + xdivep2 + xdivep3)
ydivep1 = -hvvym / h_vm
ydivep2 = -advy
ydivep3 = -vtwa * hvmy / h_vm
ydivep4 = 0.5 * edlsqmy * dbl[:, np.newaxis, np.newaxis] / h_vm
ydivep = (ydivep1 + ydivep2 + ydivep3 + ydivep4)
bdivep1 = -hvwbm / h_vm
bdivep2 = -advb
bdivep3 = -vtwa * hwb_v / h_vm
bdivep4 = edpfvdmb / h_vm
bdivep = (bdivep1 + bdivep2 + bdivep3 + bdivep4)
Y1twa = hdiffvm / h_vm
Y2twa = hdvdtviscm / h_vm
terms = np.ma.concatenate(
(-advx[:, :, :, :, np.newaxis], -advy[:, :, :, :, np.newaxis],
-advb[:, :, :, :, np.newaxis], cor[:, :, :, :, np.newaxis],
pfvm[:, :, :, :, np.newaxis], -xdivep[:, :, :, :, np.newaxis],
-ydivep[:, :, :, :, np.newaxis], -bdivep[:, :, :, :, np.newaxis],
Y1twa[:, :, :, :, np.newaxis], Y2twa[:, :, :, :, np.newaxis]),
axis=4)
termsep = np.ma.concatenate((
-xdivep1[:, :, :, :, np.newaxis], -xdivep3[:, :, :, :, np.newaxis],
-ydivep1[:, :, :, :, np.newaxis], -ydivep3[:, :, :, :, np.newaxis],
-ydivep4[:, :, :, :, np.newaxis], -bdivep1[:, :, :, :, np.newaxis],
-bdivep3[:, :, :, :, np.newaxis],
-bdivep4[:, :, :, :, np.newaxis]),
axis=4)
terms[np.isinf(terms)] = np.nan
termsep[np.isinf(termsep)] = np.nan
termsm = np.ma.apply_over_axes(np.nanmean, terms, meanax)
termsepm = np.ma.apply_over_axes(np.nanmean, termsep, meanax)
X = dimv[keepax[1]]
Y = dimv[keepax[0]]
if 1 in keepax:
em = np.ma.apply_over_axes(np.mean, em, meanax)
elm = np.ma.apply_over_axes(np.mean, elm, meanax)
Y = elm.squeeze()
X = np.meshgrid(X, dimv[1])[0]
P = termsm.squeeze()
P = np.ma.filled(P.astype(float), np.nan)
Pep = termsepm.squeeze()
Pep = np.ma.filled(Pep.astype(float), np.nan)
X = np.ma.filled(X.astype(float), np.nan)
Y = np.ma.filled(Y.astype(float), np.nan)
if not calledfrompv:
np.savez('twamomy_complete_terms', X=X, Y=Y, P=P, Pep=Pep)
else:
npzfile = np.load('twamomy_complete_terms.npz')
X = npzfile['X']
Y = npzfile['Y']
P = npzfile['P']
Pep = npzfile['Pep']
return (X, Y, P, Pep)
def extract_twapv_terms(geofil,
vgeofil,
fil,
fil2,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
fil3=None,
calledfromgeteddycoeffs=False,
alreadysaved=False):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fhgeo = dset(geofil)
fh = mfdset(fil)
fh2 = mfdset(fil2)
zi = rdp1.getdims(fh)[2][0]
dbl = -np.diff(zi) * 9.8 / 1031
if not calledfromgeteddycoeffs:
(xs, xe), (ys, ye), dimq = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
xhxq='xq',
yhyq='yq')
else:
(xs, xe), (ys, ye), dimq = rdp1.getdimsbyindx(fh,
xstart,
xend,
ystart,
yend,
zs=zs,
ze=ze,
ts=0,
te=None,
xhxq='xq',
yhyq='yq')
sl = np.s_[:, zs:ze, ys:ye, xs:xe]
nt_const = dimq[0].size
pvhash, hq = getpv(fhgeo, fh, fh2, xs, xe, ys, ye)
slpy = np.s_[:, zs:ze, ys:ye + 1, xs:xe]
dxcu = fhgeo.variables['dxCu'][slpy[2:]]
dycv = fhgeo.variables['dyCv'][sl[2:]]
dycv = np.concatenate((dycv, dycv[:, -1:]), axis=1)
dxbu = fhgeo.variables['dxBu'][sl[2:]]
dybu = fhgeo.variables['dyBu'][sl[2:]]
aq = fhgeo.variables['Aq'][sl[2:]]
f = fhgeo.variables['f'][sl[2:]]
if fil3:
fh3 = mfdset(fil3)
sltn = np.s_[-1:, zs:ze, ys:ye, xs:xe]
islayerdeep0 = fh3.variables['islayerdeep'][-1:, 0, 0, 0]
islayerdeep = (fh3.variables['islayerdeep'][sltn].filled(np.nan))
swash = (islayerdeep0 - islayerdeep) / islayerdeep0 * 100
fh3.close()
else:
swash = None
xmom = extract_twamomx_terms(geofil,
vgeofil,
fil,
fil2,
xs,
xe,
ys,
ye + 1,
zs,
ze, (0, ),
alreadysaved=False,
xyasindices=True,
calledfrompv=True)[2]
ymom = extract_twamomy_terms(geofil,
vgeofil,
fil,
fil2,
xs,
xe,
ys,
ye,
zs,
ze, (0, ),
alreadysaved=False,
xyasindices=True,
calledfrompv=True)[2]
xmom = xmom[np.newaxis, :, :, :, :]
ymom = ymom[np.newaxis, :, :, :, :]
ymom = np.concatenate((ymom, ymom[:, :, :, -1:]), axis=3)
bxppvflx = np.sum(xmom[:, :, :, :, [0, 1, 3, 4]], axis=4)
pvhash1, _ = getpv(fhgeo, fh, fh2, xs, xe, ys - 1, ye + 1)
sl1 = np.s_[:, zs:ze, ys - 1:ye + 1, xs:xe]
vtwa1, h_cv1 = getvtwa(fhgeo, fh, fh2, sl1)
vtwa1 = 0.5 * (vtwa1[:, :, :, :-1] + vtwa1[:, :, :, 1:])
pvhashvtwa = pvhash1 * vtwa1
sl1 = np.s_[:, zs:ze, ys:ye + 1, xs:xe]
h_cu1 = fh.variables['h_Cu'][sl1].filled(np.nan).mean(axis=0,
keepdims=True)
h_cu1 = np.ma.masked_array(h_cu1, mask=(h_cu1 < 1e-3))
pvflxx = h_cu1 * (pvhashvtwa[:, :, :-1, :] +
pvhashvtwa[:, :, 1:, :]) / 2
byppvflx = np.sum(ymom[:, :, :, :, [0, 1, 3, 4]], axis=4)
pvhash1, _ = getpv(fhgeo, fh, fh2, xs - 1, xe, ys, ye)
sl1 = np.s_[:, zs:ze, ys:ye + 1, xs - 1:xe]
utwa1, h_cu1 = getutwa(fhgeo, fh, fh2, sl1)
utwa1 = 0.5 * (utwa1[:, :, :-1, :] + utwa1[:, :, 1:, :])
pvhashutwa = pvhash1 * utwa1
pvhashutwa[:, :, :, -1] = 0.0
sl1 = np.s_[:, zs:ze, ys:ye, xs:xe]
h_cv1 = fh.variables['h_Cv'][sl1].mean(axis=0, keepdims=True)
h_cv1 = np.ma.masked_array(h_cv1, mask=(h_cv1 < 1e-3))
pvflxy = h_cv1 * (pvhashutwa[:, :, :, :-1] +
pvhashutwa[:, :, :, 1:]) / 2
pvflxy = np.concatenate((pvflxy, pvflxy[:, :, :, -1:]), axis=3)
bx = bxppvflx - pvflxx
by = byppvflx + pvflxy
xmom1 = xmom[:, :, :, :, [2, 5, 6, 7, 8, 9]]
xmom1 = np.concatenate(
(+pvflxx[:, :, :, :, np.newaxis], xmom1, bx[:, :, :, :,
np.newaxis]),
axis=4)
ymom1 = ymom[:, :, :, :, [2, 5, 6, 7, 8, 9]]
ymom1 = np.concatenate(
(-pvflxy[:, :, :, :, np.newaxis], ymom1, by[:, :, :, :,
np.newaxis]),
axis=4)
#pv = (-np.diff(xmom*dxcu[:,:,np.newaxis],axis=2) + np.diff(ymom*dycv[:,:,np.newaxis],axis=3))/aq[:,:,np.newaxis]
pv = -np.diff(xmom, axis=2) / dybu[:, :, np.newaxis] + np.diff(
ymom, axis=3) / dxbu[:, :, np.newaxis]
pv1x = -np.diff(xmom1 * dxcu[:, :, np.newaxis],
axis=2) / aq[:, :, np.newaxis]
pv1y = np.diff(ymom1 * dycv[:, :, np.newaxis], axis=3) / aq[:, :,
np.newaxis]
slyp = np.s_[:, :, ys:ye + 1, xs:xe]
ah1 = fhgeo.variables['Ah'][slyp[2:]]
slxmyp = np.s_[:, :, ys:ye + 1, xs - 1:xe]
uh = fh2.variables['uh'][slxmyp].filled(0).mean(axis=0, keepdims=True)
uhx = np.diff(uh, axis=3) / ah1
uhx = np.concatenate((uhx, uhx[:, :, :, -1:]), axis=3)
uhx = 0.25 * (uhx[:, :, :-1, :-1] + uhx[:, :, :-1, 1:] +
uhx[:, :, 1:, :-1] + uhx[:, :, 1:, 1:])
pv1y[:, :, :, :, 0] += pvhash * uhx
slymp = np.s_[:, :, ys - 1:ye + 1, xs:xe]
vh = fh2.variables['vh'][slymp].mean(axis=0, keepdims=True)
vhy = np.diff(vh, axis=2) / ah1
vhy = np.concatenate((vhy, vhy[:, :, :, -1:]), axis=3)
vhy = 0.25 * (vhy[:, :, :-1, :-1] + vhy[:, :, :-1, 1:] +
vhy[:, :, 1:, :-1] + vhy[:, :, 1:, 1:])
pv1x[:, :, :, :, 0] += pvhash * vhy
wd = fh2.variables['wd'][slyp].mean(axis=0, keepdims=True)
wdb = np.diff(wd, axis=1)
wdb = np.concatenate((wdb, wdb[:, :, :, -1:]), axis=3)
wdb = 0.25 * (wdb[:, :, :-1, :-1] + wdb[:, :, :-1, 1:] +
wdb[:, :, 1:, :-1] + wdb[:, :, 1:, 1:])
pv3 = pvhash * wdb
pv3 = pv3[:, :, :, :, np.newaxis]
#hq[hq<1] = np.nan
pvnew = np.concatenate(
(pv1y[:, :, :, :, :1], pv1x[:, :, :, :, :1], pv3,
pv1x[:, :, :, :, 1:-1], pv1y[:, :, :, :, 1:-1],
pv1x[:, :, :, :, -1:] + pv1y[:, :, :, :, -1:]),
axis=4) / hq[:, :, :, :, np.newaxis]
pv = np.ma.filled(pv.astype(np.float64), np.nan)
pvnew = np.ma.filled(pvnew.astype(np.float64), np.nan)
pvhash = np.ma.filled(pvhash.astype(np.float64), np.nan)
pv = np.nanmean(pv, meanax, keepdims=True)
pvnew = np.nanmean(pvnew, meanax, keepdims=True)
pvhash = np.nanmean(pvhash, meanax, keepdims=True)
X = dimq[keepax[1]]
Y = dimq[keepax[0]]
if 1 in keepax and not calledfromgeteddycoeffs:
dt = fh.variables['average_DT'][:]
dt = dt[:, np.newaxis, np.newaxis, np.newaxis]
em = (fh2.variables['e'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
em = np.nanmean(em, meanax, keepdims=True)
z = np.linspace(-3000, 0, 100)
Y = z
P = getvaratzc5(pv.astype(np.float32), z.astype(np.float32),
em.astype(np.float32)).squeeze()
Pnew = getvaratzc5(pvnew.astype(np.float32), z.astype(np.float32),
em.astype(np.float32)).squeeze()
pvhash = getvaratzc(pvhash.astype(np.float32),
z.astype(np.float32),
em.astype(np.float32)).squeeze()
if fil3:
swash = np.nanmean(swash, meanax, keepdims=True)
swash = getvaratzc(swash.astype(np.float32),
z.astype(np.float32),
em.astype(np.float32)).squeeze()
else:
P = pv
Pnew = pvnew
fhgeo.close()
fh.close()
fh2.close()
return (X, Y, P, pvhash, Pnew, swash)
def extract_twamomx_terms(geofil,
vgeofil,
fil,
fil2,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
alreadysaved=False,
xyasindices=False,
calledfrompv=False):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fhvgeo = dset(vgeofil)
db = -fhvgeo.variables['g'][:]
dbi = np.append(db, 0)
fhvgeo.close()
fhgeo = dset(geofil)
fh = mfdset(fil)
fh2 = mfdset(fil2)
zi = rdp1.getdims(fh)[2][0]
dbl = np.diff(zi) * 9.8 / 1031
if xyasindices:
(xs, xe), (ys, ye) = (xstart, xend), (ystart, yend)
_, _, dimu = rdp1.getdimsbyindx(fh,
xs,
xe,
ys,
ye,
zs=zs,
ze=ze,
ts=0,
te=None,
xhxq='xq',
yhyq='yh',
zlzi='zl')
else:
(xs, xe), (ys, ye), dimu = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
xhxq='xq')
D, (ah, aq) = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[0:2]
Dforgetutwaforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[0]
Dforgetutwaforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[0]
Dforgethvforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1, ye)[0]
dxt, dyt = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][6:8]
dxcu, dycu = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][0:2]
dycuforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[2][1:2]
dycuforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[2][1:2]
dybu = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[2][5]
dyt1 = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[2][7]
nt_const = dimu[0].size
t0 = time.time()
em = fh.variables['e'][0:, zs:ze, ys:ye, xs:xe]
elm = 0.5 * (em[:, 0:-1, :, :] + em[:, 1:, :, :])
uh = fh2.variables['uh'][0:, zs:ze, ys:ye, xs:xe]
h_cu = fh.variables['h_Cu'][0:, zs:ze, ys:ye, xs:xe]
h_um = h_cu
utwa = uh / h_cu / dycu
uhforxdiff = fh2.variables['uh'][0:, zs:ze, ys:ye, xs - 1:xe]
h_cuforxdiff = fh.variables['h_Cu'][0:, zs:ze, ys:ye, xs - 1:xe]
utwaforxdiff = uhforxdiff / h_cuforxdiff / dycuforxdiff
uhforydiff = fh2.variables['uh'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
h_cuforydiff = fh.variables['h_Cu'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
utwaforydiff = uhforydiff / h_cuforydiff / dycuforydiff
utwax = np.diff(utwaforxdiff.filled(0), axis=3) / dxt
utwax = np.concatenate((utwax, -utwax[:, :, :, [-1]]), axis=3)
utwax = 0.5 * (utwax[:, :, :, 0:-1] + utwax[:, :, :, 1:])
utway = np.diff(utwaforydiff, axis=2) / dybu
utway = 0.5 * (utway[:, :, 0:-1, :] + utway[:, :, 1:, :])
humx = np.diff(uhforxdiff.filled(0) / dycuforxdiff, axis=3) / dxt
humx = np.concatenate((humx, -humx[:, :, :, [-1]]), axis=3)
humx = 0.5 * (humx[:, :, :, 0:-1] + humx[:, :, :, 1:])
hvm = fh.variables['hv_Cu'][0:, zs:ze, ys:ye, xs:xe]
hv_cu = fh.variables['hv_Cu'][0:, zs:ze, ys - 1:ye + 1, xs:xe]
hvmy = np.diff(hv_cu, axis=2) / dyt1
hvmy = 0.5 * (hvmy[:, :, :-1, :] + hvmy[:, :, 1:, :])
huuxphuvym = fh.variables['twa_huuxpt'][
0:, zs:ze, ys:ye, xs:xe] + fh.variables['twa_huvymt'][0:, zs:ze,
ys:ye, xs:xe]
huu = fh.variables['huu_Cu'][0:, zs:ze, ys:ye, xs - 1:xe].filled(0)
huuxm = np.diff(huu, axis=3) / dxt
huuxm = np.concatenate((huuxm, -huuxm[:, :, :, -1:]), axis=3)
huuxm = 0.5 * (huuxm[:, :, :, :-1] + huuxm[:, :, :, 1:])
huvym = huuxphuvym - huuxm
utwaforvdiff = np.concatenate((utwa[:, [0], :, :], utwa), axis=1)
utwab = np.diff(utwaforvdiff, axis=1) / db[:, np.newaxis, np.newaxis]
utwab = np.concatenate(
(utwab,
np.zeros([utwab.shape[0], 1, utwab.shape[2], utwab.shape[3]])),
axis=1)
utwab = 0.5 * (utwab[:, 0:-1, :, :] + utwab[:, 1:, :, :])
hwb_u = fh.variables['hwb_Cu'][0:, zs:ze, ys:ye, xs:xe]
hwm_u = fh.variables['hw_Cu'][0:, zs:ze, ys:ye, xs:xe]
esq = fh.variables['esq_Cu'][0:, zs:ze, ys:ye, xs - 1:xe].filled(0)
ecu = fh.variables['e_Cu'][0:, zs:ze, ys:ye, xs - 1:xe].filled(0)
edlsqm = (esq - ecu**2)
edlsqmx = np.diff(edlsqm, axis=3) / dxt
edlsqmx = np.concatenate((edlsqmx, -edlsqmx[:, :, :, [-1]]), axis=3)
edlsqmx = 0.5 * (edlsqmx[:, :, :, :-1] + edlsqmx[:, :, :, 1:])
epfu = fh.variables['epfu'][0:, zs:ze, ys:ye, xs:xe]
ecu = fh.variables['e_Cu'][0:, zs:ze, ys:ye, xs:xe]
pfum = fh.variables['pfu_masked'][0:, zs:ze, ys:ye, xs:xe]
edpfudm = epfu - pfum * ecu
edpfudmb = np.diff(edpfudm, axis=1)
edpfudmb = np.concatenate(
(edpfudmb[:, :1, :, :], edpfudmb, edpfudmb[:, -1:, :, :]), axis=1)
edpfudmb = 0.5 * (edpfudmb[:, :-1, :, :] + edpfudmb[:, 1:, :, :])
hfvm = fh.variables['twa_hfv'][0:1, zs:ze, ys:ye, xs:xe]
huwbm = fh.variables['twa_huwb'][0:1, zs:ze, ys:ye, xs:xe]
hdiffum = fh.variables['twa_hdiffu'][0:1, zs:ze, ys:ye, xs:xe]
hdudtviscm = fh.variables['twa_hdudtvisc'][0:1, zs:ze, ys:ye, xs:xe]
fh2.close()
fh.close()
advx = utwa * utwax
advy = hvm * utway / h_um
advb = hwm_u * utwab / h_um
cor = hfvm / h_um
pfum = pfum
xdivep1 = -huuxm / h_um
xdivep2 = -advx
xdivep3 = -utwa * humx / h_um
xdivep4 = 0.5 * edlsqmx * dbl[:, np.newaxis, np.newaxis] / h_um
xdivep = (xdivep1 + xdivep2 + xdivep3 + xdivep4)
ydivep1 = -huvym / h_um
ydivep2 = -advy
ydivep3 = -utwa * hvmy / h_um
ydivep = (ydivep1 + ydivep2 + ydivep3)
bdivep1 = -huwbm / h_um
bdivep2 = -advb
bdivep3 = -utwa * hwb_u / h_um
bdivep4 = edpfudmb / h_um
bdivep = (bdivep1 + bdivep2 + bdivep3 + bdivep4)
X1twa = hdiffum / h_um
X2twa = hdudtviscm / h_um
terms = np.ma.concatenate(
(-advx[:, :, :, :, np.newaxis], -advy[:, :, :, :, np.newaxis],
-advb[:, :, :, :, np.newaxis], cor[:, :, :, :, np.newaxis],
pfum[:, :, :, :, np.newaxis], -xdivep[:, :, :, :, np.newaxis],
-ydivep[:, :, :, :, np.newaxis], -bdivep[:, :, :, :, np.newaxis],
X1twa[:, :, :, :, np.newaxis], X2twa[:, :, :, :, np.newaxis]),
axis=4)
termsep = np.ma.concatenate((
-xdivep1[:, :, :, :, np.newaxis], -xdivep3[:, :, :, :, np.newaxis],
-xdivep4[:, :, :, :, np.newaxis], -ydivep1[:, :, :, :, np.newaxis],
-ydivep3[:, :, :, :, np.newaxis], -bdivep1[:, :, :, :, np.newaxis],
-bdivep3[:, :, :, :, np.newaxis],
-bdivep4[:, :, :, :, np.newaxis]),
axis=4)
terms[np.isinf(terms)] = np.nan
termsep[np.isinf(termsep)] = np.nan
termsm = np.ma.apply_over_axes(np.nanmean, terms, meanax)
termsepm = np.ma.apply_over_axes(np.nanmean, termsep, meanax)
X = dimu[keepax[1]]
Y = dimu[keepax[0]]
if 1 in keepax:
em = np.ma.apply_over_axes(np.mean, em, meanax)
elm = np.ma.apply_over_axes(np.mean, elm, meanax)
Y = elm.squeeze()
X = np.meshgrid(X, dimu[1])[0]
P = termsm.squeeze()
P = np.ma.filled(P.astype(float), np.nan)
Pep = termsepm.squeeze()
Pep = np.ma.filled(Pep.astype(float), np.nan)
X = np.ma.filled(X.astype(float), np.nan)
Y = np.ma.filled(Y.astype(float), np.nan)
if not calledfrompv:
np.savez('twamomx_complete_terms', X=X, Y=Y, P=P, Pep=Pep)
else:
npzfile = np.load('twamomx_complete_terms.npz')
X = npzfile['X']
Y = npzfile['Y']
P = npzfile['P']
Pep = npzfile['Pep']
return (X, Y, P, Pep)
def extract_twamomx_terms(geofil,
vgeofil,
fil,
fil2,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
fil3=None,
alreadysaved=False,
xyasindices=False,
calledfrompv=False,
htol=1e-3):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fhvgeo = dset(vgeofil)
db = -fhvgeo.variables['g'][:]
dbi = np.append(db, 0)
fhvgeo.close()
fhgeo = dset(geofil)
fh = mfdset(fil)
fh2 = mfdset(fil2)
zi = rdp1.getdims(fh)[2][0]
dbl = np.diff(zi) * 9.8 / 1031
if xyasindices:
(xs, xe), (ys, ye) = (xstart, xend), (ystart, yend)
_, _, dimu = rdp1.getdimsbyindx(fh,
xs,
xe,
ys,
ye,
zs=zs,
ze=ze,
ts=0,
te=None,
xhxq='xq',
yhyq='yh',
zlzi='zl')
else:
(xs, xe), (ys, ye), dimu = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
xhxq='xq')
sl = np.s_[:, :, ys:ye, xs:xe]
slmy = np.s_[:, :, ys - 1:ye, xs:xe]
D, (ah, aq) = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[0:2]
Dforgetutwaforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[0]
Dforgetutwaforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[0]
Dforgethvforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1, ye)[0]
dxt, dyt = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][6:8]
dxcu, dycu = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][0:2]
dycuforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[2][1:2]
dycuforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[2][1:2]
dxbu, dybu = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[2][4:6]
aq1 = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1, ye)[1][1]
ah1 = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[1][0]
dxcu1 = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1, ye + 1)[2][0]
nt_const = dimu[0].size
t0 = time.time()
dt = fh.variables['average_DT'][:]
dt = dt[:, np.newaxis, np.newaxis, np.newaxis]
if fil3:
fh3 = mfdset(fil3)
slmytn = np.s_[-1:, :, ys - 1:ye, xs:xe]
# islayerdeep0 = fh3.variables['islayerdeep'][:,0,0,0].sum()
# islayerdeep = (fh3.variables['islayerdeep'][slmy].filled(np.nan)).sum(axis=0,
# keepdims=True)
islayerdeep0 = fh3.variables['islayerdeep'][-1:, 0, 0, 0]
islayerdeep = (fh3.variables['islayerdeep'][slmytn].filled(np.nan))
swash = (islayerdeep0 - islayerdeep) / islayerdeep0 * 100
swash = 0.5 * (swash[:, :, :-1, :] + swash[:, :, 1:, :])
fh3.close()
else:
swash = None
em = (fh2.variables['e'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
elm = 0.5 * (em[:, 0:-1, :, :] + em[:, 1:, :, :])
uh = (fh.variables['uh_masked'][0:, zs:ze, ys:ye, xs:xe].filled(np.nan)
* dt).sum(axis=0, keepdims=True) / np.sum(dt)
h_cu = (fh.variables['h_Cu'][0:, zs:ze, ys:ye, xs:xe].filled(0) *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
h_cu[h_cu < htol] = np.nan
h_um = h_cu
utwa = uh / h_cu / dycu
uhforxdiff = (fh.variables['uh_masked'][0:, zs:ze, ys:ye, xs - 1:xe] *
dt).filled(np.nan).sum(axis=0,
keepdims=True) / np.sum(dt)
h_cuforxdiff = (fh.variables['h_Cu'][0:, zs:ze, ys:ye, xs - 1:xe] *
dt).filled(0).sum(axis=0, keepdims=True) / np.sum(dt)
h_cuforxdiff[h_cuforxdiff < htol] = np.nan
utwaforxdiff = uhforxdiff / h_cuforxdiff #/dycuforxdiff
uhforydiff = (
fh.variables['uh_masked'][0:, zs:ze, ys - 1:ye + 1, xs:xe] *
dt).filled(np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
h_cuforydiff = (fh.variables['h_Cu'][0:, zs:ze, ys - 1:ye + 1, xs:xe] *
dt).filled(0).sum(axis=0, keepdims=True) / np.sum(dt)
h_cuforydiff[h_cuforydiff < htol] = np.nan
utwaforydiff = uhforydiff / h_cuforydiff #/dycuforydiff
utwax = np.diff(np.nan_to_num(utwaforxdiff), axis=3) / dxt / dyt
utwax = np.concatenate((utwax, -utwax[:, :, :, [-1]]), axis=3)
utwax = 0.5 * (utwax[:, :, :, 0:-1] + utwax[:, :, :, 1:])
utway = np.diff(utwaforydiff, axis=2) / dxbu / dybu
utway = 0.5 * (utway[:, :, 0:-1, :] + utway[:, :, 1:, :])
humx = np.diff(np.nan_to_num(uhforxdiff), axis=3) / dxt / dyt
humx = np.concatenate((humx, -humx[:, :, :, [-1]]), axis=3)
humx = 0.5 * (humx[:, :, :, 0:-1] + humx[:, :, :, 1:])
hvm = (fh.variables['vh_masked'][0:, zs:ze, ys - 1:ye, xs:xe] *
dt).sum(axis=0, keepdims=True) / np.sum(dt)
hvm = np.concatenate((hvm, -hvm[:, :, :, -1:]), axis=3)
hvm = 0.25 * (hvm[:, :, :-1, :-1] + hvm[:, :, :-1, 1:] +
hvm[:, :, 1:, :-1] + hvm[:, :, 1:, 1:]) / dxcu
hv = (fh.variables['vh_masked'][0:, zs:ze, ys - 1:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hvmy = np.diff(hv, axis=2) / dxt / dyt
hvmy = np.concatenate((hvmy, -hvmy[:, :, :, -1:]), axis=3)
hvmy = 0.5 * (hvmy[:, :, :, :-1] + hvmy[:, :, :, 1:])
huuxphuvym = (
fh.variables['twa_huuxpt'][0:, zs:ze, ys:ye, xs:xe] * dt +
fh.variables['twa_huvymt'][0:, zs:ze, ys:ye, xs:xe] * dt).filled(
np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
#u = (fh.variables['u_masked'][0:,zs:ze,ys:ye,xs-1:xe]*dt).filled(np.nan).sum(axis=0,keepdims=True)/np.sum(dt)
huu = (fh.variables['huu_Cu'][0:, zs:ze, ys:ye, xs - 1:xe] *
dt).filled(np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
huuxm = np.diff(np.nan_to_num(huu), axis=3) / dxt / dyt
huuxm = np.concatenate((huuxm, -huuxm[:, :, :, -1:]), axis=3)
huuxm = 0.5 * (huuxm[:, :, :, :-1] + huuxm[:, :, :, 1:])
# huu = (fh.variables['huu_T'][0:,zs:ze,ys:ye,xs:xe]*dt).sum(axis=0,keepdims=True)/np.sum(dt)*dyt
# huu = np.concatenate((huu,-huu[:,:,:,-1:]),axis=3)
# huuxm = np.diff(huu,axis=3)/dxcu/dycu
huvym = huuxphuvym + huuxm
utwaforvdiff = np.concatenate((utwa[:, [0], :, :], utwa), axis=1)
utwab = np.diff(utwaforvdiff, axis=1) / db[:, np.newaxis, np.newaxis]
utwab = np.concatenate((utwab, np.zeros(utwab[:, :1, :, :].shape)),
axis=1)
utwab = 0.5 * (utwab[:, 0:-1, :, :] + utwab[:, 1:, :, :])
hwb = (fh2.variables['wd'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hwb = np.diff(hwb, axis=1)
hwb = np.concatenate((hwb, -hwb[:, :, :, -1:]), axis=3)
hwb_u = 0.5 * (hwb[:, :, :, :-1] + hwb[:, :, :, 1:])
hwb = (fh2.variables['wd'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
hwm = 0.5 * (hwb[:, :-1] + hwb[:, 1:]) * dbl[:, np.newaxis, np.newaxis]
hwm = np.concatenate((hwm, -hwm[:, :, :, -1:]), axis=3)
hwm_u = 0.5 * (hwm[:, :, :, :-1] + hwm[:, :, :, 1:])
esq = (fh.variables['esq'][0:, zs:ze, ys:ye, xs:xe] * dt).sum(
axis=0, keepdims=True) / np.sum(dt)
edlsqm = (esq - elm**2)
edlsqm = np.concatenate((edlsqm, edlsqm[:, :, :, -1:]), axis=3)
edlsqmx = np.diff(edlsqm, axis=3) / dxcu
hpfu = (fh.variables['twa_hpfu'][0:, zs:ze, ys:ye, xs:xe] * dt).filled(
np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
pfum = (fh2.variables['PFu'][0:, zs:ze, ys:ye, xs:xe] * dt).filled(
np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
edpfudmb = -hpfu + h_cu * pfum - 0.5 * edlsqmx * dbl[:, np.newaxis,
np.newaxis]
hfvm = (fh.variables['twa_hfv'][0:, zs:ze, ys:ye, xs:xe] * dt).filled(
np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
huwbm = (fh.variables['twa_huwb'][0:, zs:ze, ys:ye, xs:xe] *
dt).filled(np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
hdiffum = (fh.variables['twa_hdiffu'][0:, zs:ze, ys:ye, xs:xe] *
dt).filled(np.nan).sum(axis=0, keepdims=True) / np.sum(dt)
hdudtviscm = (fh.variables['twa_hdudtvisc'][0:, zs:ze, ys:ye, xs:xe] *
dt).filled(np.nan).sum(axis=0,
keepdims=True) / np.sum(dt)
fh2.close()
fh.close()
advx = utwa * utwax
advy = hvm * utway / h_um
advb = hwm_u * utwab / h_um
cor = hfvm / h_um
pfum = pfum
xdivep1 = -huuxm / h_um
xdivep2 = advx
xdivep3 = utwa * humx / h_um
xdivep4 = -0.5 * edlsqmx * dbl[:, np.newaxis, np.newaxis] / h_um
xdivep = (xdivep1 + xdivep2 + xdivep3 + xdivep4)
ydivep1 = huvym / h_um
ydivep2 = advy
ydivep3 = utwa * hvmy / h_um
ydivep = (ydivep1 + ydivep2 + ydivep3)
bdivep1 = huwbm / h_um
bdivep2 = advb
bdivep3 = utwa * hwb_u / h_um
bdivep4 = -edpfudmb / h_um
bdivep = (bdivep1 + bdivep2 + bdivep3 + bdivep4)
X1twa = hdiffum / h_um
X2twa = hdudtviscm / h_um
terms = np.concatenate(
(-advx[:, :, :, :, np.newaxis], -advy[:, :, :, :, np.newaxis],
-advb[:, :, :, :, np.newaxis], cor[:, :, :, :, np.newaxis],
pfum[:, :, :, :, np.newaxis], xdivep[:, :, :, :, np.newaxis],
ydivep[:, :, :, :, np.newaxis], bdivep[:, :, :, :, np.newaxis],
X1twa[:, :, :, :, np.newaxis], X2twa[:, :, :, :, np.newaxis]),
axis=4)
termsep = np.concatenate(
(xdivep1[:, :, :, :, np.newaxis], xdivep3[:, :, :, :, np.newaxis],
xdivep4[:, :, :, :, np.newaxis], ydivep1[:, :, :, :, np.newaxis],
ydivep3[:, :, :, :, np.newaxis], bdivep1[:, :, :, :, np.newaxis],
bdivep3[:, :, :, :, np.newaxis], bdivep4[:, :, :, :, np.newaxis]),
axis=4)
termsm = np.nanmean(terms, axis=meanax, keepdims=True)
termsepm = np.nanmean(termsep, axis=meanax, keepdims=True)
X = dimu[keepax[1]]
Y = dimu[keepax[0]]
if 1 in keepax and not calledfrompv:
em = np.nanmean(em, axis=meanax, keepdims=True)
elm = np.nanmean(elm, axis=meanax, keepdims=True)
z = np.linspace(-3000, 0, 100)
Y = z
P = getvaratzc5(termsm.astype(np.float32), z.astype(np.float32),
em.astype(np.float32))
Pep = getvaratzc5(termsepm.astype(np.float32),
z.astype(np.float32), em.astype(np.float32))
if fil3:
swash = np.nanmean(swash, meanax, keepdims=True)
swash = getvaratzc(swash.astype(np.float32),
z.astype(np.float32),
em.astype(np.float32)).squeeze()
else:
P = termsm.squeeze()
Pep = termsepm.squeeze()
if not calledfrompv:
np.savez('twamomx_complete_terms', X=X, Y=Y, P=P, Pep=Pep)
else:
npzfile = np.load('twamomx_complete_terms.npz')
X = npzfile['X']
Y = npzfile['Y']
P = npzfile['P']
Pep = npzfile['Pep']
return (X, Y, P, Pep, swash, em.squeeze())
def extract_twamomy_terms(geofil,
vgeofil,
fil,
xstart,
xend,
ystart,
yend,
zs,
ze,
meanax,
alreadysaved=False,
xyasindices=False,
calledfrompv=False):
if not alreadysaved:
keepax = ()
for i in range(4):
if i not in meanax:
keepax += (i, )
fhvgeo = dset(vgeofil)
db = -fhvgeo.variables['g'][:]
dbi = np.append(db, 0)
fhvgeo.close()
fhgeo = dset(geofil)
fh = mfdset(fil)
zi = rdp1.getdims(fh)[2][0]
dbl = -np.diff(zi) * 9.8 / 1031
if xyasindices:
(xs, xe), (ys, ye) = (xstart, xend), (ystart, yend)
_, _, dimv = rdp1.getdimsbyindx(fh,
xs,
xe,
ys,
ye,
zs=zs,
ze=ze,
ts=0,
te=None,
xhxq='xh',
yhyq='yq',
zlzi='zl')
else:
(xs, xe), (ys, ye), dimv = rdp1.getlatlonindx(fh,
wlon=xstart,
elon=xend,
slat=ystart,
nlat=yend,
zs=zs,
ze=ze,
yhyq='yq')
D = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[0]
(ah, aq) = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[1]
Dforgetvtwaforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[0]
Dforgetvtwaforydiff = rdp1.getgeombyindx(fhgeo, xs, xe, ys - 1,
ye + 1)[0]
Dforgethuforxdiff = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys,
ye + 1)[0]
dxt, dyt = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye + 1)[2][6:8]
dycv = rdp1.getgeombyindx(fhgeo, xs, xe, ys, ye)[2][3]
dxbu = rdp1.getgeombyindx(fhgeo, xs - 1, xe, ys, ye)[2][4]
nt_const = dimv[0].size
t0 = time.time()
print('Reading data using loop...')
v = fh.variables['v'][0:1, zs:ze, ys:ye, xs:xe]
nt = np.ones(v.shape) * nt_const
frhatv = fh.variables['frhatv'][0:1, zs:ze, ys:ye, xs:xe]
h_v = frhatv * D[np.newaxis, np.newaxis, :, :]
h_v = np.ma.masked_array(h_v, mask=(h_v <= 1e-3).astype(int))
nt[h_v <= 1e-3] -= 1
hvm = (h_v * v).filled(0)
hvvm = (h_v * v * v).filled(0)
h_vm = h_v.filled(0)
hvmforxdiff, h_vmforxdiff = getvtwaforxdiff(fh, fhgeo,
Dforgetvtwaforxdiff, 0,
xs - 1, xe, ys, ye, zs, ze)
hvmforydiff, h_vmforydiff, hvvmforydiff = getvtwaforydiff(
fh, fhgeo, Dforgetvtwaforydiff, 0, xs, xe, ys - 1, ye + 1, zs, ze)
cav = fh.variables['CAv'][0:1, zs:ze, ys:ye, xs:xe]
gkev = fh.variables['gKEv'][0:1, zs:ze, ys:ye, xs:xe]
rvxu = fh.variables['rvxu'][0:1, zs:ze, ys:ye, xs:xe]
hmfum = (h_v * (cav - gkev - rvxu)).filled(0)
pfvm = fh.variables['PFv'][0:1, zs:ze, ys:ye, xs:xe]
# pfvm = np.ma.masked_array(pfvm,mask=(h_v<=1e-3).astype(int))
# pfvm = pfvm.filled(0)
hdvdtviscm = (
h_v *
fh.variables['dv_dt_visc'][0:1, zs:ze, ys:ye, xs:xe]).filled(0)
hdiffvm = (h_v *
fh.variables['diffv'][0:1, zs:ze, ys:ye, xs:xe]).filled(0)
dvdtdia = fh.variables['dvdt_dia'][0:1, zs:ze, ys:ye, xs:xe]
wd = fh.variables['wd'][0:1, zs:ze, ys:ye + 1, xs:xe]
wd = np.diff(wd, axis=1)
wdm = wd
hvwbm = (v * (wd[:, :, 0:-1, :] + wd[:, :, 1:, :]) / 2 -
h_v * dvdtdia).filled(0)
uh = fh.variables['uh'][0:1, zs:ze, ys:ye + 1, xs - 1:xe]
uh = np.ma.filled(uh.astype(float), 0)
uhx = np.diff(uh, axis=3) / ah
huvxpTm = (v * (uhx[:, :, 0:-1, :] + uhx[:, :, 1:, :]) / 2 -
h_v * rvxu).filled(0)
vh = fh.variables['vh'][0:1, zs:ze, ys - 1:ye + 1, xs:xe]
vh = np.ma.filled(vh.astype(float), 0)
vhy = np.diff(vh, axis=2) / ah
hvvymTm = (v * (vhy[:, :, 0:-1, :] + vhy[:, :, 1:, :]) / 2 -
h_v * gkev).filled(0)
u = fh.variables['u'][0:1, zs:ze, ys:ye + 1, xs - 1:xe]
u = 0.25 * (u[:, :, 0:-1, 0:-1] + u[:, :, 1:, 0:-1] +
u[:, :, 0:-1, 1:] + u[:, :, 1:, 1:])
hum = (h_v * u).filled(0)
humforxdiff = gethuforxdiff(fh, fhgeo, Dforgethuforxdiff, 0, xs - 1,
xe, ys, ye + 1, zs, ze)
wd = fh.variables['wd'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
hw = wd * dbi[:, np.newaxis, np.newaxis]
hw = 0.5 * (hw[:, 0:-1, :, :] + hw[:, 1:, :, :])
hwm_v = 0.5 * (hw[:, :, 0:-1, :] + hw[:, :, 1:, :])
emforydiff = fh.variables['e'][0:1, zs:ze, ys:ye + 1, xs:xe] / nt_const
if 1 in keepax:
em = fh.variables['e'][0:1, zs:ze, ys:ye, xs:xe] / nt_const
for i in range(1, nt_const):
v = fh.variables['v'][i:i + 1, zs:ze, ys:ye, xs:xe]
frhatv = fh.variables['frhatv'][i:i + 1, zs:ze, ys:ye, xs:xe]
h_v = frhatv * D[np.newaxis, np.newaxis, :, :]
h_v = np.ma.masked_array(h_v, mask=(h_v <= 1e-3).astype(int))
nt[h_v <= 1e-3] -= 1
hvm += (h_v * v).filled(0)
h_vm += h_v.filled(0)
hvforxdiff, h_vforxdiff = getvtwaforxdiff(fh, fhgeo,
Dforgetvtwaforxdiff, i,
xs - 1, xe, ys, ye, zs,
ze)
hvforydiff, h_vforydiff, hvvforydiff = getvtwaforydiff(
fh, fhgeo, Dforgetvtwaforydiff, i, xs, xe, ys - 1, ye + 1, zs,
ze)
hvmforxdiff += hvforxdiff
h_vmforxdiff += h_vforxdiff
hvvmforydiff += hvvforydiff
hvmforydiff += hvforydiff
h_vmforydiff += h_vforydiff
cav = fh.variables['CAv'][i:i + 1, zs:ze, ys:ye, xs:xe]
gkev = fh.variables['gKEv'][i:i + 1, zs:ze, ys:ye, xs:xe]
rvxu = fh.variables['rvxu'][i:i + 1, zs:ze, ys:ye, xs:xe]
hmfu = h_v * (cav - gkev - rvxu)
hmfum += hmfu.filled(0)
pfv = fh.variables['PFv'][i:i + 1, zs:ze, ys:ye, xs:xe]
# pfv = np.ma.masked_array(pfv,mask=(h_v<=1e-3).astype(int))
# pfvm += pfv.filled(0)
pfvm += pfv
hdvdtvisc = h_v * fh.variables['dv_dt_visc'][i:i + 1, zs:ze, ys:ye,
xs:xe]
hdvdtviscm += hdvdtvisc.filled(0)
hdiffv = h_v * fh.variables['diffv'][i:i + 1, zs:ze, ys:ye, xs:xe]
hdiffvm += hdiffv.filled(0)
dvdtdia = fh.variables['dvdt_dia'][i:i + 1, zs:ze, ys:ye, xs:xe]
wd = fh.variables['wd'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
wd = np.diff(wd, axis=1)
wdm += wd
hvwb = (v * (wd[:, :, 0:-1, :] + wd[:, :, 1:, :]) / 2 -
h_v * dvdtdia)
hvwb = np.ma.masked_array(hvwb, mask=(h_v <= 1e-3).astype(int))
hvwbm += hvwb.filled(0)
uh = fh.variables['uh'][0:1, zs:ze, ys:ye + 1, xs - 1:xe]
uh = np.ma.filled(uh.astype(float), 0)
uhx = np.diff(uh, axis=3) / ah
huvxpT = (v * (uhx[:, :, 0:-1, :] + uhx[:, :, 1:, :]) / 2 -
h_v * rvxu).filled(0)
huvxpTm += huvxpT
vh = fh.variables['vh'][0:1, zs:ze, ys - 1:ye + 1, xs:xe]
vh = np.ma.filled(vh.astype(float), 0)
vhy = np.diff(vh, axis=2) / ah
hvvymT = (v * (vhy[:, :, 0:-1, :] + vhy[:, :, 1:, :]) / 2 -
h_v * gkev).filled(0)
hvvymTm = hvvymT
u = fh.variables['u'][0:1, zs:ze, ys:ye + 1, xs - 1:xe]
u = 0.25 * (u[:, :, 0:-1, 0:-1] + u[:, :, 1:, 0:-1] +
u[:, :, 0:-1, 1:] + u[:, :, 1:, 1:])
hum += (h_v * u).filled(0)
humforxdiff += gethuforxdiff(fh, fhgeo, Dforgethuforxdiff, i,
xs - 1, xe, ys, ye + 1, zs, ze)
wd = fh.variables['wd'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
hw = wd * dbi[:, np.newaxis, np.newaxis]
hw = 0.5 * (hw[:, 0:-1, :, :] + hw[:, 1:, :, :])
hwm_v += 0.5 * (hw[:, :, 0:-1, :] + hw[:, :, 1:, :])
emforydiff += fh.variables['e'][i:i + 1, zs:ze, ys:ye + 1,
xs:xe] / nt_const
if 1 in keepax:
em += fh.variables['e'][i:i + 1, zs:ze, ys:ye,
xs:xe] / nt_const
sys.stdout.write('\r' + str(int((i + 1) / nt_const * 100)) +
'% done...')
sys.stdout.flush()
fhgeo.close()
print('Time taken for data reading: {}s'.format(time.time() - t0))
elm = 0.5 * (em[:, 0:-1, :, :] + em[:, 1:, :, :])
elmforydiff = 0.5 * (emforydiff[:, 0:-1, :, :] +
emforydiff[:, 1:, :, :])
vtwa = hvm / h_vm
vtwaforxdiff = hvmforxdiff / h_vmforxdiff
vtwaforydiff = hvmforydiff / h_vmforydiff
vtwaforxdiff = np.concatenate(
(vtwaforxdiff, -vtwaforxdiff[:, :, :, -1:]), axis=3)
vtwax = np.diff(vtwaforxdiff, axis=3) / dxbu
vtwax = 0.5 * (vtwax[:, :, :, 0:-1] + vtwax[:, :, :, 1:])
vtway = np.diff(vtwaforydiff, axis=2) / dyt
vtway = 0.5 * (vtway[:, :, 0:-1, :] + vtway[:, :, 1:, :])
humx = np.diff(humforxdiff, axis=3) / dxt
humx = 0.5 * (humx[:, :, 0:-1, :] + humx[:, :, 1:, :])
hvmy = np.diff(hvmforydiff, axis=2) / dyt
hvmy = 0.5 * (hvmy[:, :, 0:-1, :] + hvmy[:, :, 1:, :])
huvxphvvym = huvxpTm + hvvymTm
hvvym = np.diff(hvvmforydiff, axis=2) / dyt
hvvym = 0.5 * (hvvym[:, :, 0:-1, :] + hvvym[:, :, 1:, :])
huvxm = huvxphvvym - hvvym
vtwaforvdiff = np.concatenate((vtwa[:, [0], :, :], vtwa), axis=1)
vtwab = np.diff(vtwaforvdiff, axis=1) / db[:, np.newaxis, np.newaxis]
vtwab = np.concatenate(
(vtwab,
np.zeros([vtwab.shape[0], 1, vtwab.shape[2], vtwab.shape[3]])),
axis=1)
vtwab = 0.5 * (vtwab[:, 0:-1, :, :] + vtwab[:, 1:, :, :])
hwb_v = 0.5 * (wdm[:, :, 0:-1, :] + wdm[:, :, 1:, :])
print('Calculating form drag using loop...')
t0 = time.time()
e = fh.variables['e'][0:1, zs:ze, ys:ye + 1, xs:xe]
el = 0.5 * (e[:, 0:-1, :, :] + e[:, 1:, :, :])
ed = e - emforydiff
edl = el - elmforydiff
edlsqm = (edl**2)
pfv = fh.variables['PFv'][0:1, zs:ze, ys:ye, xs:xe]
pfvd = pfv - pfvm / nt_const
geta = 9.8 * ed[:, :1, :, :] / 1031
getay = np.diff(geta, axis=2) / dycv
pfvd = np.concatenate(
(pfvd, np.zeros([pfvd.shape[0], 1, pfvd.shape[2], pfvd.shape[3]])),
axis=1)
pfvd = 0.5 * (pfvd[:, 0:-1, :, :] + pfvd[:, 1:, :, :])
pfvd = np.concatenate((-getay, pfvd), axis=1)
ed = 0.5 * (ed[:, :, 0:-1, :] + ed[:, :, 1:, :])
edpfvdm = ed * pfvd
for i in range(1, nt_const):
e = fh.variables['e'][i:i + 1, zs:ze, ys:ye + 1, xs:xe]
el = 0.5 * (e[:, 0:-1, :, :] + e[:, 1:, :, :])
ed = e - emforydiff
edl = el - elmforydiff
edlsqm += (edl**2)
pfv = fh.variables['PFv'][i:i + 1, zs:ze, ys:ye, xs:xe]
pfvd = pfv - pfvm / nt_const
geta = 9.8 * ed[:, :1, :, :] / 1031
getay = np.diff(geta, axis=2) / dycv
pfvd = np.concatenate(
(pfvd,
np.zeros([pfvd.shape[0], 1, pfvd.shape[2], pfvd.shape[3]])),
axis=1)
pfvd = 0.5 * (pfvd[:, 0:-1, :, :] + pfvd[:, 1:, :, :])
pfvd = np.concatenate((-getay, pfvd), axis=1)
ed = 0.5 * (ed[:, :, 0:-1, :] + ed[:, :, 1:, :])
edpfvdm += ed * pfvd
sys.stdout.write('\r' + str(int((i + 1) / nt_const * 100)) +
'% done...')
sys.stdout.flush()
print('Time taken for data reading: {}s'.format(time.time() - t0))
fh.close()
edlsqmy = np.diff(edlsqm, axis=2) / dycv
advx = hum * vtwax / h_vm
advy = vtwa * vtway
advb = hwm_v * vtwab / h_vm
cor = hmfum / h_vm
pfvm = pfvm / nt_const
xdivep1 = huvxm / h_vm
xdivep2 = -advx
xdivep3 = -vtwa * humx / h_vm
xdivep = (xdivep1 + xdivep2 + xdivep3)
ydivep1 = hvvym / h_vm
ydivep2 = -advy
ydivep3 = -vtwa * hvmy / h_vm
ydivep4 = 0.5 * edlsqmy * dbl[:, np.newaxis, np.newaxis] / h_vm
ydivep = (ydivep1 + ydivep2 + ydivep3 + ydivep4)
bdivep1 = hvwbm / h_vm
bdivep2 = -advb
bdivep3 = -vtwa * hwb_v / h_vm
bdivep4 = np.diff(edpfvdm,
axis=1) / db[:, np.newaxis,
np.newaxis] * dbl[:, np.newaxis,
np.newaxis] / h_vm
bdivep = (bdivep1 + bdivep2 + bdivep3 + bdivep4)
Y1twa = hdiffvm / h_vm
Y2twa = hdvdtviscm / h_vm
terms = np.ma.concatenate(
(-advx[:, :, :, :, np.newaxis], -advy[:, :, :, :, np.newaxis],
-advb[:, :, :, :, np.newaxis], cor[:, :, :, :, np.newaxis],
pfvm[:, :, :, :, np.newaxis], -xdivep[:, :, :, :, np.newaxis],
-ydivep[:, :, :, :, np.newaxis], -bdivep[:, :, :, :, np.newaxis],
Y1twa[:, :, :, :, np.newaxis], Y2twa[:, :, :, :, np.newaxis]),
axis=4)
termsep = np.ma.concatenate(
(xdivep1[:, :, :, :, np.newaxis], xdivep3[:, :, :, :, np.newaxis],
ydivep1[:, :, :, :, np.newaxis], ydivep3[:, :, :, :, np.newaxis],
ydivep4[:, :, :, :, np.newaxis], bdivep1[:, :, :, :, np.newaxis],
bdivep3[:, :, :, :, np.newaxis], bdivep4[:, :, :, :, np.newaxis]),
axis=4)
terms[np.isinf(terms)] = np.nan
termsep[np.isinf(termsep)] = np.nan
termsm = np.ma.apply_over_axes(np.nanmean, terms, meanax)
termsepm = np.ma.apply_over_axes(np.nanmean, termsep, meanax)
X = dimv[keepax[1]]
Y = dimv[keepax[0]]
if 1 in keepax:
em = np.ma.apply_over_axes(np.mean, em, meanax)
elm = np.ma.apply_over_axes(np.mean, elm, meanax)
Y = elm.squeeze()
X = np.meshgrid(X, dimv[1])[0]
P = termsm.squeeze()
P = np.ma.filled(P.astype(float), np.nan)
Pep = termsepm.squeeze()
Pep = np.ma.filled(Pep.astype(float), np.nan)
X = np.ma.filled(X.astype(float), np.nan)
Y = np.ma.filled(Y.astype(float), np.nan)
if not calledfrompv:
np.savez('twamomy_complete_terms', X=X, Y=Y, P=P, Pep=Pep)
else:
npzfile = np.load('twamomy_complete_terms.npz')
X = npzfile['X']
Y = npzfile['Y']
P = npzfile['P']
Pep = npzfile['Pep']
return (X, Y, P, Pep)