def compute_tendencies_gm(grid, q_tendencies, q, Case, TS, tmp, tri_diag):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
k_1 = grid.first_interior(Zmin())
dzi = grid.dzi
α_1 = tmp['α_0'][k_1]
ae_1 = q['a', i_env][k_1]
slice_all_c = grid.slice_all(Center())
q_tendencies['q_tot', i_gm][slice_all_c] += [
tmp['mf_tend_q_tot'][k] + tmp['prec_src_q_tot', i_gm][k] * TS.Δti
for k in grid.over_elems(Center())
]
q_tendencies['q_tot',
i_gm][k_1] += Case.Sur.rho_q_tot_flux * dzi * α_1 / ae_1
q_tendencies['θ_liq', i_gm][slice_all_c] += [
tmp['mf_tend_θ_liq'][k] + tmp['prec_src_θ_liq', i_gm][k] * TS.Δti
for k in grid.over_elems(Center())
]
q_tendencies['θ_liq',
i_gm][k_1] += Case.Sur.rho_θ_liq_flux * dzi * α_1 / ae_1
q_tendencies['U', i_gm][k_1] += Case.Sur.rho_uflux * dzi * α_1 / ae_1
q_tendencies['V', i_gm][k_1] += Case.Sur.rho_vflux * dzi * α_1 / ae_1
return
def plot_state(self,
grid,
directory,
filename,
name_idx=None,
i_sd=0,
include_ghost=True):
domain_range = grid.over_elems(
Center()) if include_ghost else grid.over_elems_real(Center())
x = [grid.z_half[k] for k in domain_range]
if name_idx == None:
r = 0
for name_idx in self.var_names:
y = [self[name_idx, i_sd][k] for k in domain_range]
plt.plot(y, x, markershapes[r], label=friendly_name(name_idx))
plt.hold(True)
r += 1
plt.title('state vector vs z')
plt.xlabel('state vector')
plt.ylabel('z')
else:
x_name = filename
y = [self[name_idx, i_sd][k] for k in domain_range]
plt.plot(y, x, markershapes[i_sd])
plt.title(x_name + ' vs z')
plt.xlabel(x_name)
plt.ylabel('z')
plt.savefig(directory + filename)
plt.close()
def update_GMV_MF(grid, q, TS, tmp):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
slice_all_c = grid.slice_real(Center())
domain_c = grid.over_elems_real(Center())
for i in i_uds:
tmp['mf_tmp',
i][slice_all_c] = [((q['w', i].Mid(k) - q['w', i_env].Mid(k)) *
tmp['ρ_0'][k] * q['a', i][k])
for k in domain_c]
for k in domain_c:
tmp['mf_θ_liq'][k] = np.sum([
tmp['mf_tmp', i][k] * (q['θ_liq', i][k] - q['θ_liq', i_env][k])
for i in i_uds
])
tmp['mf_q_tot'][k] = np.sum([
tmp['mf_tmp', i][k] * (q['q_tot', i][k] - q['q_tot', i_env][k])
for i in i_uds
])
tmp['mf_tend_θ_liq'][slice_all_c] = [
-tmp['α_0'][k] * grad(tmp['mf_θ_liq'].Cut(k), grid) for k in domain_c
]
tmp['mf_tend_q_tot'][slice_all_c] = [
-tmp['α_0'][k] * grad(tmp['mf_q_tot'].Cut(k), grid) for k in domain_c
]
return
def compute_inversion(grid, q, option, tmp, Ri_bulk_crit, temp_C):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
maxgrad = 0.0
theta_rho_bl = temp_C.first_interior(grid)
for k in grid.over_elems_real(Center()):
q_tot = q['q_tot', i_gm][k]
q_vap = q_tot - tmp['q_liq', i_gm][k]
temp_C[k] = theta_rho_c(tmp['p_0'][k], tmp['T', i_gm][k], q_tot, q_vap)
if option == 'theta_rho':
for k in grid.over_elems_real(Center()):
if temp_C[k] > theta_rho_bl:
zi = grid.z_half[k]
break
elif option == 'thetal_maxgrad':
for k in grid.over_elems_real(Center()):
grad_TH = grad(q['θ_liq', i_gm].Dual(k), grid)
if grad_TH > maxgrad:
maxgrad = grad_TH
zi = grid.z[k]
elif option == 'critical_Ri':
zi = compute_inversion_height(temp_C, q['U', i_gm], q['V', i_gm], grid,
Ri_bulk_crit)
else:
print('INVERSION HEIGHT OPTION NOT RECOGNIZED')
return zi
def assign(self, grid, name, value):
if isinstance(name, tuple):
for k in grid.over_elems(Center()):
for v in name:
for i in self.over_sub_domains(v):
self[v, i][k] = value
elif isinstance(name, str):
for k in grid.over_elems(Center()):
for i in self.over_sub_domains(name):
self[name, i][k] = value
def calculate_radiation(self, tmp):
"""
see eq. 3 in Stevens et. al. 2005 DYCOMS paper
"""
# find z_i (level of 8.0 g/kg isoline of q_tot)
k_1 = grid.first_interior(Zmin())
z_i = grid.z[k_1]
for k in grid.over_elems_real(Center()):
if (q['q_tot', i_gm][k] < 8.0 / 1000):
idx_zi = k
# will be used at cell edges
z_i = grid.z[idx_zi]
rhoi = tmp['ρ_0'][idx_zi]
break
self.f_rad = Full(grid)
k_2 = grid.boundary(Zmax())
k_1 = 0
k_2 = grid.nzg - 1
# cloud-top cooling
q_0 = 0.0
self.f_rad[k_2] = self.F0 * np.exp(-q_0)
for k in range(k_2 - 1, -1, -1):
q_0 += self.kappa * tmp['ρ_0'][k] * tmp['q_liq', i_gm][k] * grid.dz
self.f_rad[k] = self.F0 * np.exp(-q_0)
# cloud-base warming
q_1 = 0.0
self.f_rad[k_1] += self.F1 * np.exp(-q_1)
for k in range(1, k_2 + 1):
q_1 += self.kappa * tmp['ρ_0'][k - 1] * tmp['q_liq',
i_gm][k - 1] * grid.dz
self.f_rad[k] += self.F1 * np.exp(-q_1)
# cooling in free troposphere
for k in range(k_1, k_2):
if grid.z[k] > z_i:
cbrt_z = np.cbrt(grid.z[k] - z_i)
self.f_rad[
k] += rhoi * dycoms_cp * self.divergence * self.alpha_z * (
np.power(cbrt_z, 4) / 4.0 + z_i * cbrt_z)
# condition at the top
cbrt_z = np.cbrt(grid.z[k] + grid.dz - z_i)
self.f_rad[
k_2] += rhoi * dycoms_cp * self.divergence * self.alpha_z * (
np.power(cbrt_z, 4) / 4.0 + z_i * cbrt_z)
for k in grid.over_elems_real(Center()):
self.dTdt[k] = -(self.f_rad[k + 1] - self.f_rad[k]
) / grid.dz / tmp['ρ_0'][k] / dycoms_cp
return
def export_state(self, grid, directory, filename, ExportType=UseDat()):
domain = grid.over_elems(Center())
headers = [
str(name) if len(self.over_sub_domains(name)) == 1 else str(name) +
'_' + str(i_sd) for name in self.var_names
for i_sd in self.over_sub_domains(name)
]
headers = [friendly_name(s) for s in headers]
n_vars = len(headers)
n_elem = len(domain)
data = np.array([
self[name, k, i_sd] for name in self.var_names
for i_sd in self.over_sub_domains(name) for k in domain
])
data = data.reshape(n_elem, n_vars)
z = grid.z[domain]
# TODO: Clean up using numpy export
data_all = []
data_all.append(z)
data_all.append(data)
file_name = str(directory + filename + '_vs_z.dat')
with open(file_name, 'w') as f:
f.write(', '.join(headers) + '\n')
for k in domain:
row = data_all[k]
f.write('\t'.join(row))
return
def test():
grid = Grid(0.0, 1.0, 1000, 2)
f = Half(grid)
for i in range(1, 1000):
for k in grid.over_elems_real(Center()):
temp = f.Mid(k)
f[k] += 1.0
def update(self, grid, q_new, q, q_tendencies, tmp, tmp_O2, UpdVar, Case,
TS, tri_diag):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
self.pre_compute_vars(grid, q, q_tendencies, tmp, tmp_O2, UpdVar, Case,
TS, tri_diag)
assign_new_to_values(grid, q_new, q, tmp)
self.compute_prognostic_updrafts(grid, q_new, q, q_tendencies, tmp,
UpdVar, Case, TS)
update_cv_env(grid, q, q_tendencies, tmp, tmp_O2, TS, 'tke', tri_diag,
self.tke_diss_coeff)
update_cv_env(grid, q, q_tendencies, tmp, tmp_O2, TS, 'cv_θ_liq',
tri_diag, self.tke_diss_coeff)
update_cv_env(grid, q, q_tendencies, tmp, tmp_O2, TS, 'cv_q_tot',
tri_diag, self.tke_diss_coeff)
update_cv_env(grid, q, q_tendencies, tmp, tmp_O2, TS, 'cv_θ_liq_q_tot',
tri_diag, self.tke_diss_coeff)
update_sol_gm(grid, q_new, q, q_tendencies, TS, tmp, tri_diag)
for k in grid.over_elems_real(Center()):
q['U', i_gm][k] = q_new['U', i_gm][k]
q['V', i_gm][k] = q_new['V', i_gm][k]
q['θ_liq', i_gm][k] = q_new['θ_liq', i_gm][k]
q['q_tot', i_gm][k] = q_new['q_tot', i_gm][k]
q['q_rai', i_gm][k] = q_new['q_rai', i_gm][k]
apply_gm_bcs(grid, q)
return
def compute_entrainment_detrainment(grid, UpdVar, Case, tmp, q, entr_detr_fp,
wstar, tke_ed_coeff, entrainment_factor,
detrainment_factor):
quadrature_order = 3
i_gm, i_env, i_uds, i_sd = q.domain_idx()
compute_cloud_base_top_cover(grid, q, tmp, UpdVar)
n_updrafts = len(i_uds)
input_st = type('', (), {})()
input_st.wstar = wstar
input_st.b_mean = 0
input_st.dz = grid.dz
input_st.zbl = compute_zbl_qt_grad(grid, q)
for i in i_uds:
input_st.zi = UpdVar[i].cloud_base
for k in grid.over_elems_real(Center()):
input_st.quadrature_order = quadrature_order
input_st.z = grid.z_half[k]
input_st.ml = tmp['l_mix'][k]
input_st.b = tmp['B', i][k]
input_st.w = q['w', i].Mid(k)
input_st.af = q['a', i][k]
input_st.tke = q['tke', i_env][k]
input_st.qt_env = q['q_tot', i_env][k]
input_st.q_liq_env = tmp['q_liq', i_env][k]
input_st.θ_liq_env = q['θ_liq', i_env][k]
input_st.b_env = tmp['B', i_env][k]
input_st.w_env = q['w', i_env].values[k]
input_st.θ_liq_up = q['θ_liq', i][k]
input_st.qt_up = q['q_tot', i][k]
input_st.q_liq_up = tmp['q_liq', i][k]
input_st.env_Hvar = q['cv_θ_liq', i_env][k]
input_st.env_QTvar = q['cv_q_tot', i_env][k]
input_st.env_HQTcov = q['cv_θ_liq_q_tot', i_env][k]
input_st.p0 = tmp['p_0'][k]
input_st.alpha0 = tmp['α_0'][k]
input_st.tke = q['tke', i_env][k]
input_st.tke_ed_coeff = tke_ed_coeff
input_st.L = 20000.0 # need to define the scale of the GCM grid resolution
input_st.n_up = n_updrafts
w_cut = q['w', i].DualCut(k)
w_env_cut = q['w', i_env].DualCut(k)
a_cut = q['a', i].Cut(k)
a_env_cut = (1.0 - q['a', i].Cut(k))
aw_cut = a_cut * w_cut + a_env_cut * w_env_cut
input_st.dwdz = grad(aw_cut, grid)
if input_st.zbl - UpdVar[i].cloud_base > 0.0:
input_st.poisson = np.random.poisson(
grid.dz / ((input_st.zbl - UpdVar[i].cloud_base) / 10.0))
else:
input_st.poisson = 0.0
ret = entr_detr_fp(input_st)
tmp['entr_sc', i][k] = ret.entr_sc * entrainment_factor
tmp['detr_sc', i][k] = ret.detr_sc * detrainment_factor
return
def initialize_vars(self, grid, q, q_tendencies, tmp, tmp_O2, UpdVar, Case,
TS, tri_diag):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
self.zi = compute_inversion(grid, q, Case.inversion_option, tmp,
self.Ri_bulk_crit, tmp['temp_C'])
zs = self.zi
self.wstar = compute_convective_velocity(Case.Sur.bflux, zs)
ws = self.wstar
ws3 = ws**3.0
us3 = Case.Sur.ustar**3.0
k_1 = grid.first_interior(Zmin())
cv_θ_liq_1 = q['cv_θ_liq', i_gm][k_1]
cv_q_tot_1 = q['cv_q_tot', i_gm][k_1]
cv_θ_liq_q_tot_1 = q['cv_θ_liq_q_tot', i_gm][k_1]
reset_surface_covariance(grid, q, tmp, Case, ws)
if ws > 0.0:
for k in grid.over_elems(Center()):
z = grid.z_half[k]
temp = ws * 1.3 * np.cbrt(us3 / ws3 + 0.6 * z / zs) * np.sqrt(
np.fmax(1.0 - z / zs, 0.0))
q['tke', i_gm][k] = temp
q['cv_θ_liq', i_gm][k] = cv_θ_liq_1 * temp
q['cv_q_tot', i_gm][k] = cv_q_tot_1 * temp
q['cv_θ_liq_q_tot', i_gm][k] = cv_θ_liq_q_tot_1 * temp
reset_surface_covariance(grid, q, tmp, Case, ws)
compute_mixing_length(grid, q, tmp, Case.Sur.obukhov_length,
self.zi, self.wstar)
self.pre_compute_vars(grid, q, q_tendencies, tmp, tmp_O2, UpdVar, Case,
TS, tri_diag)
return
def update_cv_env(grid, q, q_tendencies, tmp, tmp_O2, TS, cv, tri_diag,
tke_diss_coeff):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
construct_tridiag_diffusion_O2(grid, q, tmp, TS, tri_diag, tke_diss_coeff)
k_1 = grid.first_interior(Zmin())
slice_all_c = grid.slice_all(Center())
a_e = q['a', i_env]
tri_diag.f[slice_all_c] = [
tmp['ρ_0'][k] * a_e[k] * q[cv, i_env][k] * TS.Δti +
q_tendencies[cv, i_env][k] for k in grid.over_elems(Center())
]
tri_diag.f[k_1] = tmp['ρ_0'][k_1] * a_e[k_1] * q[
cv, i_env][k_1] * TS.Δti + q[cv, i_env][k_1]
solve_tridiag_wrapper(grid, q[cv, i_env], tri_diag)
return
def compute_cv_env_tendencies(grid, q_tendencies, tmp_O2, cv):
i_gm, i_env, i_uds, i_sd = q_tendencies.domain_idx()
k_1 = grid.first_interior(Zmin())
for k in grid.over_elems_real(Center()):
q_tendencies[cv, i_env][k] = tmp_O2[cv]['press'][k] + tmp_O2[cv][
'buoy'][k] + tmp_O2[cv]['shear'][k] + tmp_O2[cv]['entr_gain'][
k] + tmp_O2[cv]['rain_src'][k]
q_tendencies[cv, i_env][k_1] = 0.0
return
def assign_new_to_values(grid, q_new, q, tmp):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
slice_all_c = grid.slice_all(Center())
slice_all_n = grid.slice_all(Node())
for i in i_uds:
q_new['w', i][slice_all_n] = [
q['w', i][k] for k in grid.over_elems(Node())
]
q_new['q_tot', i][slice_all_c] = [
q['q_tot', i][k] for k in grid.over_elems(Center())
]
q_new['q_rai', i][slice_all_c] = [
q['q_rai', i][k] for k in grid.over_elems(Center())
]
q_new['θ_liq', i][slice_all_c] = [
q['θ_liq', i][k] for k in grid.over_elems(Center())
]
return
def compute_covariance_detr(grid, q, tmp, tmp_O2, cv):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
for k in grid.over_elems_real(Center()):
tmp_O2[cv]['detr_loss'][k] = sum([
q['a', i][k] * np.fabs(q['w', i].Mid(k)) * tmp['entr_sc', i][k]
for i in i_uds
])
tmp_O2[cv]['detr_loss'][k] *= tmp['ρ_0'][k] * q[cv, i_env][k]
return
def coriolis_force(self, grid, q, q_tendencies):
i_gm, i_env, i_uds, i_sd = q_tendencies.domain_idx()
for k in grid.over_elems_real(Center()):
q_tendencies['U',
i_gm][k] -= self.coriolis_param * (self.vg[k] -
q['V', i_gm][k])
q_tendencies['V',
i_gm][k] += self.coriolis_param * (self.ug[k] -
q['U', i_gm][k])
return
def compute_covariance_dissipation(grid, q, tmp, tmp_O2, tke_diss_coeff, cv):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
ae = q['a', i_env]
for k in grid.over_elems_real(Center()):
l_mix = np.fmax(tmp['l_mix'][k], 1.0)
tke_env = np.fmax(q['tke', i_env][k], 0.0)
tmp_O2[cv]['dissipation'][k] = (tmp['ρ_0'][k] * ae[k] *
q[cv, i_env][k] * pow(tke_env, 0.5) /
l_mix * tke_diss_coeff)
return
def free_convection_windspeed(self, grid, q, tmp):
i_gm, i_env, i_uds, i_sd = tmp.domain_idx()
theta_rho = Half(grid)
for k in grid.over_elems(Center()):
q_vap = q['q_tot', i_gm][k] - tmp['q_liq', i_gm][k]
theta_rho[k] = theta_rho_c(tmp['p_0'][k], tmp['T', i_gm][k], q['q_tot', i_gm][k], q_vap)
zi = compute_inversion_height(theta_rho, q['U', i_gm], q['V', i_gm], grid, self.Ri_bulk_crit)
wstar = compute_convective_velocity(self.bflux, zi) # yair here zi in TRMM should be adjusted
self.windspeed = np.sqrt(self.windspeed*self.windspeed + (1.2 *wstar)*(1.2 * wstar) )
return
def update_updraftvars(grid, q, tmp):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
for i in i_uds:
for k in grid.over_elems(Center()):
s = tmp['prec_src_q_tot', i][k]
q['q_tot', i][k] += s
tmp['q_liq', i][k] += s
q['q_rai', i][k] -= s
q['θ_liq', i][k] += tmp['prec_src_θ_liq', i][k]
return
def buoyancy(grid, q, tmp):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
for i in i_uds:
for k in grid.over_elems_real(Center()):
if q['a', i][k] > 1e-3:
q_tot = q['q_tot', i][k]
q_vap = q_tot - tmp['q_liq', i][k]
T = tmp['T', i][k]
α_i = alpha_c(tmp['p_0'][k], T, q_tot, q_vap)
tmp['B', i][k] = buoyancy_c(tmp['α_0'][k], α_i)
else:
tmp['B', i][k] = tmp['B', i_env][k]
# Subtract grid mean buoyancy
for k in grid.over_elems_real(Center()):
tmp['B',
i_gm][k] = np.sum([q['a', i][k] * tmp['B', i][k] for i in i_sd])
for i in i_sd:
tmp['B', i][k] -= tmp['B', i_gm][k]
return
def compute_sources(grid, q, tmp, max_supersaturation):
i_gm, i_env, i_uds, i_sd = tmp.domain_idx()
for i in i_uds:
for k in grid.over_elems(Center()):
q_tot = q['q_tot', i][k]
q_tot = tmp['q_liq', i][k]
T = tmp['T', i][k]
p_0 = tmp['p_0'][k]
tmp_qr = acnv_instant(q_tot, q_tot, max_supersaturation, T, p_0)
tmp['prec_src_θ_liq',
i][k] = rain_source_to_thetal(p_0, T, q_tot, q_tot, 0.0,
tmp_qr)
tmp['prec_src_q_tot', i][k] = -tmp_qr
for k in grid.over_elems(Center()):
tmp['prec_src_θ_liq', i_gm][k] = np.sum(
[tmp['prec_src_θ_liq', i][k] * q['a', i][k] for i in i_sd])
tmp['prec_src_q_tot', i_gm][k] = np.sum(
[tmp['prec_src_q_tot', i][k] * q['a', i][k] for i in i_sd])
return
def assign_values_to_new(grid, q, q_new, tmp):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
for k in grid.over_elems(Center()):
for i in i_uds:
q['w', i][k] = q_new['w', i][k]
q['q_tot', i][k] = q_new['q_tot', i][k]
q['q_rai', i][k] = q_new['q_rai', i][k]
q['θ_liq', i][k] = q_new['θ_liq', i][k]
q['a', i][k] = q_new['a', i][k]
q['a', i_env][k] = 1.0 - np.sum([q_new['a', i][k] for i in i_uds])
return
def compute_zbl_qt_grad(grid, q):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
# computes inversion height as z with max gradient of q_tot
zbl_q_tot = 0.0
q_tot_grad = 0.0
for k in grid.over_elems_real(Center()):
q_tot_grad_new = grad(q['q_tot', i_gm].Dual(k), grid)
if np.fabs(q_tot_grad) > q_tot_grad:
q_tot_grad = np.fabs(q_tot_grad_new)
zbl_q_tot = grid.z_half[k]
return zbl_q_tot
def eos_update_SA_mean(grid, q, in_Env, tmp, max_supersaturation):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
for k in grid.over_elems_real(Center()):
p_0_k = tmp['p_0'][k]
T, q_liq = eos(p_0_k, q['q_tot', i_env][k], q['θ_liq', i_env][k])
mph = microphysics(T, q_liq, p_0_k, q['q_tot', i_env][k],
max_supersaturation, in_Env)
update_env(q, tmp, k, mph.T, mph.θ_liq, mph.q_tot, mph.q_liq,
mph.q_rai, mph.alpha)
update_cloud_dry(k, mph.T, mph.θ, mph.q_tot, mph.q_liq, mph.q_vap, tmp)
return
def compute_covariance_interdomain_src(grid, q, tmp, tmp_O2, ϕ, ψ, cv,
tke_factor, interp_func):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
for k in grid.over_elems(Center()):
tmp_O2[cv]['interdomain'][k] = 0.0
for i in i_uds:
Δϕ = interp_func(q[ϕ, i], k) - interp_func(q[ϕ, i_env], k)
Δψ = interp_func(q[ψ, i], k) - interp_func(q[ψ, i_env], k)
tmp_O2[cv]['interdomain'][k] += tke_factor * q['a', i][k] * (
1.0 - q['a', i][k]) * Δϕ * Δψ
return
def compute_eddy_diffusivities_similarity_Siebesma2007(grid, Case, tmp, zi,
wstar, prandtl_number):
ustar = Case.Sur.ustar
for k in grid.over_elems_real(Center()):
zzi = grid.z_half[k] / zi
tmp['K_h'][k] = 0.0
tmp['K_m'][k] = 0.0
if zzi <= 1.0 and not (wstar < 1e-6):
tmp['K_h'][k] = vkb * ((ustar / wstar)**3.0 + 39.0 * vkb * zzi)**(
1.0 / 3.0) * zzi * (1.0 - zzi) * (1.0 - zzi) * wstar * zi
tmp['K_m'][k] = tmp['K_h'][k] * prandtl_number
return
def compute_cv_gm(grid, q, ϕ, ψ, cv, tke_factor, interp_func):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
ae = q['a', i_env]
for k in grid.over_elems(Center()):
Δϕ = interp_func(q[ϕ, i_env], k) - interp_func(q[ϕ, i_gm], k)
Δψ = interp_func(q[ψ, i_env], k) - interp_func(q[ψ, i_gm], k)
q[cv, i_gm][k] = tke_factor * ae[k] * Δϕ * Δψ + ae[k] * q[cv, i_env][k]
for i in i_uds:
Δϕ = interp_func(q[ϕ, i], k) - interp_func(q[ϕ, i_gm], k)
Δψ = interp_func(q[ψ, i], k) - interp_func(q[ψ, i_gm], k)
q[cv, i_gm][k] += tke_factor * q['a', i][k] * Δϕ * Δψ
return
def compute_covariance_entr(grid, q, tmp, tmp_O2, ϕ, ψ, cv, tke_factor,
interp_func):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
for k in grid.over_elems_real(Center()):
tmp_O2[cv]['entr_gain'][k] = 0.0
for i in i_uds:
Δϕ = interp_func(q[ϕ, i], k) - interp_func(q[ϕ, i_env], k)
Δψ = interp_func(q[ψ, i], k) - interp_func(q[ψ, i_env], k)
tmp_O2[cv]['entr_gain'][k] += tke_factor * q['a', i][k] * np.fabs(
q['w', i].Mid(k)) * tmp['detr_sc', i][k] * Δϕ * Δψ
tmp_O2[cv]['entr_gain'][k] *= tmp['ρ_0'][k]
return
def compute_tke_buoy(grid, q, tmp, tmp_O2, cv):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
ae = q['a', i_env]
# Note that source terms at the first interior point are not really used because that is where tke boundary condition is
# enforced (according to MO similarity). Thus here I am being sloppy about lowest grid point
for k in grid.over_elems_real(Center()):
q_tot_dry = tmp['q_tot_dry'][k]
θ_dry = tmp['θ_dry'][k]
t_cloudy = tmp['t_cloudy'][k]
q_vap_cloudy = tmp['q_vap_cloudy'][k]
q_tot_cloudy = tmp['q_tot_cloudy'][k]
θ_cloudy = tmp['θ_cloudy'][k]
p_0 = tmp['p_0'][k]
lh = latent_heat(t_cloudy)
cpm = cpm_c(q_tot_cloudy)
grad_θ_liq = grad_neg(q['θ_liq', i_env].Cut(k), grid)
grad_q_tot = grad_neg(q['q_tot', i_env].Cut(k), grid)
prefactor = Rd * exner_c(p_0) / p_0
d_alpha_θ_liq_dry = prefactor * (1.0 + (eps_vi - 1.0) * q_tot_dry)
d_alpha_q_tot_dry = prefactor * θ_dry * (eps_vi - 1.0)
CF_env = tmp['CF'][k]
if CF_env > 0.0:
d_alpha_θ_liq_cloudy = (
prefactor *
(1.0 + eps_vi *
(1.0 + lh / Rv / t_cloudy) * q_vap_cloudy - q_tot_cloudy) /
(1.0 +
lh * lh / cpm / Rv / t_cloudy / t_cloudy * q_vap_cloudy))
d_alpha_q_tot_cloudy = (lh / cpm / t_cloudy * d_alpha_θ_liq_cloudy
- prefactor) * θ_cloudy
else:
d_alpha_θ_liq_cloudy = 0.0
d_alpha_q_tot_cloudy = 0.0
d_alpha_θ_liq_total = (CF_env * d_alpha_θ_liq_cloudy +
(1.0 - CF_env) * d_alpha_θ_liq_dry)
d_alpha_q_tot_total = (CF_env * d_alpha_q_tot_cloudy +
(1.0 - CF_env) * d_alpha_q_tot_dry)
K_h_k = tmp['K_h'][k]
term_1 = -K_h_k * grad_θ_liq * d_alpha_θ_liq_total
term_2 = -K_h_k * grad_q_tot * d_alpha_q_tot_total
# TODO - check
tmp_O2[cv]['buoy'][k] = g / tmp['α_0'][k] * ae[k] * tmp['ρ_0'][k] * (
term_1 + term_2)
return
def compute_grid_means(grid, q, tmp):
i_gm, i_env, i_uds, i_sd = q.domain_idx()
ae = q['a', i_env]
for k in grid.over_elems_real(Center()):
tmp['q_liq', i_gm][k] = np.sum(
[q['a', i][k] * tmp['q_liq', i][k] for i in i_sd])
q['q_rai',
i_gm][k] = np.sum([q['a', i][k] * q['q_rai', i][k] for i in i_sd])
tmp['T',
i_gm][k] = np.sum([q['a', i][k] * tmp['T', i][k] for i in i_sd])
tmp['B',
i_gm][k] = np.sum([q['a', i][k] * tmp['B', i][k] for i in i_sd])
return
