def test_get_F_cm_using_He_scheme_and_continuous_Maxwellian_DF(self):
cm_i = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho)
F_cm = get_mom_vector_from_continuous_def(
cm_i.get_force_He_hydro_DF,
continuous_transformation=cm_i.get_cm,
moments_order=moments_dict['D2Q9'],
serial_run=True)
f = io.StringIO()
with redirect_stdout(f):
print_as_vector(F_cm, 'F_cm')
out = f.getvalue()
# TODO: can't use hardcoded_cm_eq_incompressible_D2Q9,
# because sympy switches hardcoded terms like 'u.x*(-m00 + 1)' to '-u.x*(m00 - 1') and test fails.
# thank you sympy...
assert f'\tF_cm[0] = 0;\n' in out
assert f'\tF_cm[1] = {Force_str}.x*{m00}/rho;\n' in out
assert f'\tF_cm[2] = {Force_str}.y*{m00}/rho;\n' in out
assert f'\tF_cm[3] = -2.*{Force_str}.x*u.x*({m00} - 1.)/rho;\n' in out
assert f'\tF_cm[4] = -2.*{Force_str}.y*u.y*({m00} - 1.)/rho;\n' in out
assert f'\tF_cm[5] = (-{Force_str}.x*{m00}*u.y + {Force_str}.x*u.y - {Force_str}.y*{m00}*u.x + {Force_str}.y*u.x)/rho;\n' in out
assert f'\tF_cm[6] = (2.*{Force_str}.x*{m00}*uxuy - 2.*{Force_str}.x*uxuy + {Force_str}.y*{m00}*ux2 + 1/3.*{Force_str}.y*{m00} - {Force_str}.y*ux2)/rho;\n' in out
assert f'\tF_cm[7] = ({Force_str}.x*{m00}*uy2 + 1/3.*{Force_str}.x*{m00} - {Force_str}.x*uy2 + 2.*{Force_str}.y*{m00}*uxuy - 2.*{Force_str}.y*uxuy)/rho;\n' in out
assert f'\tF_cm[8] = (-2.*{Force_str}.x*{m00}*u.x*uy2 - 2/3.*{Force_str}.x*{m00}*u.x + 2.*{Force_str}.x*u.x*uy2 + 2/3.*{Force_str}.x*u.x - 2.*{Force_str}.y*{m00}*ux2*u.y - 2/3.*{Force_str}.y*{m00}*u.y + 2.*{Force_str}.y*ux2*u.y + 2/3.*{Force_str}.y*u.y)/rho;\n' in out
def test_get_cm_eq_incompressible_continuous(self):
# population_eq -> cm_eq - from continous definition: '
# k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) '
# where fun = fM(rho,u,x,y) *(x-ux)^m *(y-uy)^n * (z-uz)^o ')
cm_i = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho)
cm_eq = get_mom_vector_from_continuous_def(
cm_i.get_incompressible_DF,
continuous_transformation=cm_i.get_cm,
moments_order=moments_dict['D2Q9'],
serial_run=True)
f = io.StringIO()
with redirect_stdout(f):
print_as_vector(cm_eq, 'cm_eq')
out = f.getvalue()
# TODO: can't use hardcoded_cm_eq_incompressible_D2Q9,
# because sympy switches hardcoded 'u.x*(-m00 + 1)' to '-u.x*(m00 - 1') and test fails.
# thank you sympy...
assert f'cm_eq[0] = {m00};' in out
assert f'cm_eq[1] = u.x*(1 - {m00});' in out or f'cm_eq[1] = u.x*(-{m00} + 1);' in out
assert f'cm_eq[2] = u.y*(1 - {m00});' in out or f'cm_eq[2] = u.y*(-{m00} + 1);' in out
assert f'cm_eq[3] = {m00}*ux2 + 1/3.*{m00} - ux2;\n' in out
assert f'cm_eq[4] = {m00}*uy2 + 1/3.*{m00} - uy2;\n' in out
assert f'cm_eq[5] = uxuy*({m00} - 1.);\n' in out
assert f'cm_eq[6] = u.y*(-{m00}*ux2 - 1/3.*{m00} + ux2 + 1/3.);\n' in out
assert f'cm_eq[7] = u.x*(-{m00}*uy2 - 1/3.*{m00} + uy2 + 1/3.);\n' in out
assert f'cm_eq[8] = {m00}*ux2*uy2 + 1/3.*{m00}*ux2 + 1/3.*{m00}*uy2 + 1/9.*{m00} - ux2*uy2 - 1/3.*ux2 - 1/3.*uy2;\n' in out # noqa
def test_get_F_cm_Guo_continuous_and_discrete(self):
dcmt = DiscreteCMTransforms(e_D2Q9, u2D, F2D, rho)
F_cm_Guo_disc = get_mom_vector_from_discrete_def(
dcmt.get_force_Guo,
discrete_transform=dcmt.get_cm,
moments_order=moments_dict['D2Q9'],
serial_run=True)
from SymbolicCollisions.core.ContinuousCMTransforms import \
ContinuousCMTransforms, get_mom_vector_from_continuous_def
from SymbolicCollisions.core.cm_symbols import \
F3D, dzeta3D, u3D
ccmt = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho)
F_cm_Guo_cont = get_mom_vector_from_continuous_def(
ccmt.get_force_Guo,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict['D2Q9'],
serial_run=True)
# print_as_vector(F_cm_Guo_cont, 'F_cm')
results = [F_cm_Guo_disc, F_cm_Guo_cont]
f = io.StringIO()
with redirect_stdout(f):
print_as_vector(hardcoded_F_cm_Guo_hydro_incompressible_D2Q9,
'F_cm')
expected_result = f.getvalue()
for result in results:
f = io.StringIO()
with redirect_stdout(f):
print_as_vector(result, 'F_cm')
out = f.getvalue()
assert out == expected_result
def test_thermal_cm_eq_vector_from_continuous_def(self):
ccmt = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho, cs2=cs2_thermal)
import warnings
with warnings.catch_warnings():
warnings.simplefilter("ignore")
cm_eq = get_mom_vector_from_continuous_def(
ccmt.get_Maxwellian_DF,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict['D2Q9'],
serial_run=True)
f = io.StringIO()
with redirect_stdout(f):
print_as_vector(cm_eq, 'cm_eq')
out = f.getvalue()
f2 = io.StringIO()
with redirect_stdout(f2):
expected_result = hardcoded_cm_eq_compressible_D2Q9_thermal
print_as_vector(expected_result, 'cm_eq')
ccode_expected_result = f2.getvalue()
assert ccode_expected_result == out
discrete_transform=dcmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(F_cm_Guo, 'F_cm')
print('\n//N*M*F_cm_Guo_second_order ')
NMF_cm_Guo = get_mom_vector_from_shift_mat(dcmt.get_force_Guo,
mat=NrawD2Q9 * Mraw_D2Q9)
print_as_vector(NMF_cm_Guo, 'F_cm')
print('\n\n// === continuous central moments === \n ')
print('\n//Force -> Force_cm - from continuous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = forceM(rho,u,x,y) *(x-ux)^m (y-uy)^n ')
F_cm = get_mom_vector_from_continuous_def(
ccmt.get_force_Guo,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(F_cm, 'F_cm')
print('\n//Force -> Force_cm - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = forceM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
F_cm = get_mom_vector_from_continuous_def(
ccmt.get_force_He_MB,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(F_cm, 'F_cm')
print('\n//Force -> Force_cm - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = forceM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
lattice = 'D2Q9'
ccmt = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho)
dcmt = DiscreteCMTransforms(e_D2Q9, u2D, F2D, rho)
start = time.process_time()
print('// === welcome to cm! === \n ')
print('\n//population_eq -> (central) m_eq - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = fM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
print('The raw moments for the pressure part')
m_eq_p = get_mom_vector_from_continuous_def(
ccmt.get_incompressible_DF_part_p,
continuous_transformation=ccmt.get_m,
moments_order=moments_dict[lattice])
print_as_vector(m_eq_p,
'm_eq_p',
output_order_of_moments=moments_dict[lattice])
print('The central moments for the velocity part')
cm_eq_gamma = get_mom_vector_from_continuous_def(
ccmt.get_incompressible_DF_part_gamma,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(cm_eq_gamma,
'cm_eq_gamma',
output_order_of_moments=moments_dict[lattice])
def test_cm_vector_from_continuous_def(self):
# this test runs long without output and CI may consider it as a timeout :/
ccmt = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho)
from SymbolicCollisions.core.cm_symbols import Sigma2asSymbol
ccmt_cht = ContinuousCMTransforms(dzeta3D,
u3D,
F3D,
rho,
cs2=Sigma2asSymbol)
ccmts = [
ccmt,
ccmt,
ccmt,
ccmt,
ccmt,
ccmt_cht,
]
lattices = ['D2Q9', 'D3Q19', 'D2Q9', 'D2Q9', 'D3Q19', 'D2Q9']
functions = [
ccmt.get_Maxwellian_DF,
ccmt.get_Maxwellian_DF,
ccmt.get_force_Guo,
ccmt.get_force_He_MB,
ccmt.get_force_He_MB,
ccmt_cht.get_cht_DF,
]
expected_results = [
hardcoded_cm_eq_compressible_D2Q9,
hardcoded_cm_eq_compressible_D3Q19,
hardcoded_F_cm_Guo_hydro_incompressible_D2Q9,
hardcoded_F_cm_hydro_compressible_D2Q9,
hardcoded_F_cm_hydro_compressible_D3Q19,
hardcoded_cm_eq_cht_D2Q9,
]
for fun, lattice, _ccmt, expected_result in zip(
functions, lattices, ccmts, expected_results):
cm_eq = get_mom_vector_from_continuous_def(
fun,
continuous_transformation=_ccmt.get_cm,
moments_order=moments_dict[lattice],
serial_run=True)
# print("------------\n\n")
# print_as_vector(cm_eq, 'CM')
# print_as_vector(expected_result, 'CM_expected')
# print("------------\n\n")
f = io.StringIO()
with redirect_stdout(f):
print_as_vector(cm_eq, 'cm_eq')
out = f.getvalue()
f2 = io.StringIO()
with redirect_stdout(f2):
print_as_vector(expected_result, 'cm_eq')
ccode_expected_result = f2.getvalue()
assert ccode_expected_result == out
# to calculate particular moment
row = moments_dict['D2Q9'][0]
moment = ccmt.get_cm(row, ccmt.get_cht_DF)
print_as_vector(Matrix([moment]), 'particular_moment')
print('\n//population_eq -> cm_eq - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = fM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
from SymbolicCollisions.core.cm_symbols import \
F3D, dzeta3D, u3D, \
rho, cs2_thermal
ccmt = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho, cs2=cs2_thermal)
cm_eq = get_mom_vector_from_continuous_def(
ccmt.get_Maxwellian_DF,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict['D2Q9'],
serial_run=False)
print_as_vector(cm_eq, 'cm_eq')
print('---- CHT ----')
cm_cht_eq = get_mom_vector_from_continuous_def(
ccmt.get_cht_DF,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice],
serial_run=False)
print_as_vector(cm_cht_eq, 'cm_cht_eq', raw_output=False)
cm_cht_eq = get_mom_vector_from_continuous_def(
ccmt.get_cht_DF,
continuous_transformation=ccmt.get_m,
rev_i = get_reverse_indices(e_D2Q9)
print(f"reverse direction indices: {rev_i}")
print(f"order of rmoments: \n {pd.DataFrame.from_records(rmoments_order)}")
print(f"lattice velocities - e: \n {np.array(e_D2Q9)}")
######################
ccmt = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho)
print('\n\n// === continuous moments === \n ')
print('\n//population_eq -> m_eq - from continuous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = fMB(rho,u,x,y) *(x)^m (y)^n ')
m_eq = get_mom_vector_from_continuous_def(ccmt.get_Maxwellian_DF,
continuous_transformation=ccmt.get_m,
moments_order=rmoments_order)
# print_as_vector(m_eq, 'm_raw_eq', raw_output=False, output_order_of_moments=rmoments_order)
print_as_vector_latex(m_eq, 'k^{H,eq}', output_order_of_moments=rmoments_order)
cm_eq = get_mom_vector_from_continuous_def(
ccmt.get_Maxwellian_DF,
continuous_transformation=ccmt.get_cm,
moments_order=rmoments_order)
# print_as_vector(cm_eq, 'cm_eq', raw_output=False, output_order_of_moments=rmoments_order)
print_as_vector_latex(cm_eq,
'\\tilde{k}^{H,eq}',
output_order_of_moments=rmoments_order)
print("--------------------------------------------------")
# continuous_transformation=ccmt.get_cm,
# moments_order=moments_dict[lattice])
#
# print_as_vector(mom_bc, 'He forcing scheme')
kx = Symbol('k.x')
ky = Symbol('k.y')
k2D = Matrix([kx, ky])
ccmt = ContinuousCMTransforms(dzeta2D, u2D, k2D, rho)
# kz = Symbol('k.z')
# k3D = Matrix([kx, ky, kz])
# lattice = 'D2Q9'
# ccmt = ContinuousCMTransforms(dzeta3D, u3D, k3D, rho)
mom_bc = get_mom_vector_from_continuous_def(
ccmt.get_bc_bb_heat_flux_cht,
continuous_transformation=ccmt.get_m,
moments_order=moments_dict[lattice])
print_as_vector(mom_bc, 'm_heat_flux_cht_bc', raw_output=False)
mom_bc = get_mom_vector_from_continuous_def(
ccmt.get_bc_bb_heat_flux_cht,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(mom_bc, 'cm_heat_flux_cht_bc', raw_output=False)
print("------- raw output----------")
print_as_vector(mom_bc, 'cm_heat_flux_cht_bc', raw_output=True)
ccmt = ContinuousCMTransforms(dzeta3D, u3D, F3D, rho)
start = time.process_time()
print('\n\n// === continous cm === \n ')
# to calculate particular moment
row = moments_dict['D2Q9'][0]
moment = ccmt.get_cm(row, ccmt.get_Maxwellian_DF)
print_as_vector(Matrix([moment]), 'particular_moment')
print('\n//Force -> Force_cm - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = forceM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
F_cm = get_mom_vector_from_continuous_def(
ccmt.get_force_He_MB,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(F_cm, 'F_cm')
print('\n//population_eq -> cm_eq - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = fM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
cm_eq = get_mom_vector_from_continuous_def(
ccmt.get_Maxwellian_DF,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(cm_eq, 'cm_eq')
print(f'\n\n Done in {time.process_time() - start} [s].')
print_as_vector(pop_eq, 'cm_eq_pf')
print('\n\n// === continous cm === \n ')
print("\n--- EQUILIBRIA ---")
# to calculate particular moment
row = moments_dict['D2Q9'][0]
moment = ccmt.get_cm(row, ccmt.get_Maxwellian_DF)
print_as_vector(Matrix([moment]), 'particular_moment')
print('\n//population_eq -> cm_eq - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = fM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
cm_eq = get_mom_vector_from_continuous_def(
ccmt.get_Maxwellian_DF,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(cm_eq, 'cm_eq')
print_as_vector(cm_eq, 'cm_eq', output_order_of_moments=moments_dict[lattice])
print('\n//population_eq -> cm_eq - from continous definition: \n'
'k_mn = integrate(fun, (x, -oo, oo), (y, -oo, oo)) \n'
'where fun = fM(rho,u,x,y) *(x-ux)^m *(y-uy)^n *(z-uz)^o ')
cm_eq = get_mom_vector_from_continuous_def(
ccmt.get_incompressible_DF,
continuous_transformation=ccmt.get_cm,
moments_order=moments_dict[lattice])
print_as_vector(cm_eq, 'cm_eq')
