trapp = 0.5*(ep[:-1] + ep[1:])
errp = (dtvec*trapp).sum()
trapc = 0.5*(ec[:-1] + ec[1:])
resc = (dtvec*trapc).sum()
print 'Nts = {0}, v_error = {1}, p_error = {2}, contres={3}'.\
format(Nts, errv, errp, resc)
errvl.append(errv)
errpl.append(errp)
rescl.append(resc)
print errvl
print errpl
print rescl
topgfplot = True
if topgfplot:
ltpl = [errvl, errpl, rescl]
for ltp in ltpl:
for (i, Nts) in enumerate(Ntslist):
print '({0}, {1})'.format(1./Nts, ltp[i])
cpu.conv_plot(Ntslist, [errvl], logscale=2,
markerl=['o'], fignum=1, leglist=['velerror'])
cpu.conv_plot(Ntslist, [rescl], logscale=2,
markerl=['o'], fignum=2, leglist=['cres'])
cpu.conv_plot(Ntslist, [errpl], logscale=2,
markerl=['o'], fignum=3, leglist=['perror'])
def jsd_calc_l2errs(JsDict, plot=False, ptikzfile=None):
jsd = load_json_dicts(JsDict)
timelength = jsd['TimeInterval'][1] - jsd['TimeInterval'][0]
contresl, velerrl, perrl = [], [], []
for i in range(len(jsd['TimeDiscs'])):
dx = timelength / jsd['TimeDiscs'][i]
contresl.append(np.sqrt(np.trapz(np.square(jsd['ContiRes'][i]),
dx=dx)))
velerrl.append(np.sqrt(np.trapz(np.square(jsd['VelEr'][i]), dx=dx)))
perrl.append(np.sqrt(np.trapz(np.square(jsd['PEr'][i]), dx=dx)))
try:
dconresl, momresl, tolcorl = [], [], []
for i in range(len(jsd['TimeDiscs'])):
dx = timelength / jsd['TimeDiscs'][i]
dconresl.append(np.sqrt(np.trapz(np.square(jsd['DContiRes'][i]),
dx=dx)))
momresl.append(np.sqrt(np.trapz(np.square(jsd['MomRes'][i]),
dx=dx)))
tolcorl.append(np.sqrt(np.trapz(np.square(jsd['TolCor'][i]),
dx=dx)))
allres = True
except:
allres = False
print 'not all residuals were recorded'
Ntsl = jsd['TimeDiscs']
print 'L2 errors for method ' + jsd['TimeIntMeth']
print 'N = ', jsd['SpaceDiscParam']
print 'Nts = ', jsd['TimeDiscs']
print 'Velocity Errors: ', velerrl
print 'Pressure Errors: ', perrl
print 'Conti Residuals: ', contresl
if allres:
print 'DConti Residuals: ', dconresl
print 'Momenteq Residuals: ', momresl
print 'TolCor: ', tolcorl
if plot:
plt.figure()
plt.loglog(Ntsl, dconresl, 'o')
plt.title('dconres')
plt.figure()
plt.loglog(Ntsl, momresl, 'v')
plt.title('momres')
plt.figure()
plt.loglog(Ntsl, tolcorl, '^')
plt.title('tolcors')
if plot:
plt.figure()
plt.loglog(Ntsl, velerrl, 'o')
plt.title('velerror')
plt.figure()
plt.loglog(Ntsl, perrl, 'v')
plt.title('perror')
plt.figure()
plt.loglog(Ntsl, contresl, '^')
plt.title('contres')
if ptikzfile is None:
plt.show(block=False)
if ptikzfile is not None:
import matlibplots.conv_plot_utils as cpu
# see [email protected]:highlando/mat-lib-plots.git
cpu.conv_plot(1./np.array(Ntsl[:-1]), [perrl[:-1]],
leglist=['perr'],
markerl=['*'], fit=[-1],
logscale=True, tikzfile=ptikzfile)
errv, errp, crr, mrr = errvl[k], errpl[k], crrsl[k], mrrsl[k]
print('{0}: {1}; {2}; {3}; {4}'.format(Nts, errv, errp, crr, mrr))
vel.append(errvl)
pel.append(errpl)
crl.append(crrsl)
mrl.append(mrrsl)
import matlibplots.conv_plot_utils as cpu
tkzprfx = 'tikzs/' + curmethnm
markers = ['x', 'o', 'v', '^']
leglist = ['{0:.2e}'.format(ltol) for ltol in linatollist]
abscissa = 1./np.array(Ntslist)
markerl = markers[:len(vel)]
pltdct = dict(logscale=True, markerl=markerl, logbase=10,
leglist=leglist, legloc=4)
cpu.conv_plot(abscissa, vel, fignum=1, tikzfile=tkzprfx+'velerrs.tikz',
title='vel apprx', **pltdct)
cpu.conv_plot(abscissa, pel, fignum=2, tikzfile=tkzprfx+'pelerrs.tikz',
title='pres apprx', **pltdct)
# don't need the residuals for the exact solves
crpcrl = crl[1:]
crpmrl = mrl[1:]
markerl = markers[1:len(crl)+1]
leglistc = leglist[1:len(crl)+1]
pltdct.update(dict(markerl=markerl, leglist=leglistc))
cpu.conv_plot(abscissa, crpcrl, fignum=3, tikzfile=tkzprfx+'cres.tikz',
title='conti residual', **pltdct)
cpu.conv_plot(abscissa, crpmrl, fignum=4, tikzfile=tkzprfx+'meqres.tikz',
title='momeq residual', **pltdct)
