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RROMPy/examples/fenics/LagrangeSweep.py
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LagrangeSweep.py
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from copy import copy
import numpy as np
from rrompy.hfengines.fenics import HelmholtzSquareBubbleProblemEngine as HSBPE
from rrompy.hfengines.fenics import HelmholtzBoxScatteringProblemEngine as HBSPE
from rrompy.hsengines.fenics import HSEngine as HS
from rrompy.reduction_methods.lagrange import ApproximantLagrangePade as Pade
from rrompy.reduction_methods.lagrange import ApproximantLagrangeRB as RB
from rrompy.utilities.parameter_sweeper import ParameterSweeper as Sweeper
from rrompy.sampling import QuadratureSampler as QS
testNo = 2
npoints = 31
if testNo == 1:
ks = [4 + .5j, 14 + .5j]
solver = HSBPE(kappa = 12 ** .5, theta = np.pi / 3, n = 10)
solver.omega = np.real(np.mean(ks))
mutars = np.linspace(0, 21, npoints)
filenamebase = '../data/output/HelmholtzBubbleLagrange'
elif testNo == 2:
ks = [10 + .25j, 14 + .25j]
solver = HBSPE(R = 5, kappa = 3, theta = - np.pi * 75 / 180, n = 10)
solver.omega = np.real(np.mean(ks))
mutars = np.linspace(9, 14, npoints)
filenamebase = '../data/output/HelmholtzBoxLagrange'
plotter = HS(solver.V)
k0 = np.mean(ks)
shift = 12
nsets = 5
stride = 3
Smax = stride * (nsets - 1) + shift + 2
paramsPade = {'S':Smax, 'POD':True, 'sampler':QS(ks, "CHEBYSHEV")}
paramsRB = copy(paramsPade)
paramsSetsPade = [None] * nsets
paramsSetsRB = [None] * nsets
for i in range(nsets):
paramsSetsPade[i] = {'N': stride * i + shift + 1, 'M': stride * i + shift,
'S': stride * i + shift + 2}
paramsSetsRB[i] = {'R': stride * i + shift + 1, 'S': stride * i + shift + 2}
appPade = Pade(solver, plotter, mu0 = k0, approxParameters = paramsPade)
appRB = RB(solver, plotter, mu0 = k0, approxParameters = paramsRB)
sweeper = Sweeper(mutars = mutars, mostExpensive = 'Approx')
sweeper.ROMEngine = appPade
sweeper.params = paramsSetsPade
filenamePade = sweeper.sweep(filenamebase + 'PadeFE.dat', outputs = 'ALL')
sweeper.ROMEngine = appRB
sweeper.params = paramsSetsRB
filenameRB = sweeper.sweep(filenamebase + 'RBFE.dat', outputs = 'ALL')
sweeper.plot(filenamePade, ['muRe'], ['HFNorm', 'AppNorm'], ['S'],
onePlot = True)
sweeper.plot(filenameRB, ['muRe'], ['HFNorm', 'AppNorm'], ['S'],
onePlot = True)
sweeper.plot(filenamePade, ['muRe'], ['ErrNorm'], ['S'])
sweeper.plot(filenameRB, ['muRe'], ['ErrNorm'], ['S'])
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