Commit 862c62c9 authored by Markus Holzer's avatar Markus Holzer
Browse files

fixed bugs occured with sympy 1.6

parent 070cf58b
%% Cell type:code id: tags:
``` python
import math
from lbmpy.session import *
from pystencils.session import *
from lbmpy.moments import MOMENT_SYMBOLS
from collections import OrderedDict
from lbmpy.methods.creationfunctions import create_with_discrete_maxwellian_eq_moments
from lbmpy.phasefield_allen_cahn.parameter_calculation import calculate_parameters_rti
from lbmpy.phasefield_allen_cahn.kernel_equations import *
from lbmpy.phasefield_allen_cahn.force_model import MultiphaseForceModel
```
%% Cell type:code id: tags:
``` python
try:
import pycuda
except ImportError:
pycuda = None
gpu = False
target = 'cpu'
print('No pycuda installed')
if pycuda:
gpu = True
target = 'gpu'
```
%% Cell type:code id: tags:
``` python
stencil_phase = get_stencil("D2Q9")
stencil_hydro = get_stencil("D2Q9")
assert(len(stencil_phase[0]) == len(stencil_hydro[0]))
dimensions = len(stencil_phase[0])
```
%% Cell type:code id: tags:
``` python
# domain
L0 = 256
domain_size = (L0, 4 * L0)
# time step
timesteps = 1000
# reference time
reference_time = 8000
# density of the heavier fluid
rho_H = 1.0
# calculate the parameters for the RTI
parameters = calculate_parameters_rti(reference_length=L0,
reference_time=reference_time,
density_heavy=rho_H,
capillary_number=0.44,
reynolds_number=3000,
atwood_number=0.998,
peclet_number=1000,
density_ratio=1000,
viscosity_ratio=100)
# get the parameters
rho_L = parameters.get("density_light")
mu_H = parameters.get("dynamic_viscosity_heavy")
mu_L = parameters.get("dynamic_viscosity_light")
tau_H = parameters.get("relaxation_time_heavy")
tau_L = parameters.get("relaxation_time_light")
sigma = parameters.get("surface_tension")
M = parameters.get("mobility")
gravitational_acceleration = parameters.get("gravitational_acceleration")
drho3 = (rho_H - rho_L)/3
# interface thickness
W = 5
# coeffcient related to surface tension
beta = 12.0 * (sigma/W)
# coeffcient related to surface tension
kappa = 1.5 * sigma*W
# relaxation rate allen cahn (h)
w_c = 1.0/(0.5 + (3.0 * M))
```
%% Cell type:code id: tags:
``` python
dh = ps.create_data_handling((domain_size), periodicity = (True, False), parallel=False, default_target=target)
g = dh.add_array("g", values_per_cell=len(stencil_hydro))
dh.fill("g", 0.0, ghost_layers=True)
h = dh.add_array("h",values_per_cell=len(stencil_phase))
dh.fill("h", 0.0, ghost_layers=True)
g_tmp = dh.add_array("g_tmp", values_per_cell=len(stencil_hydro))
dh.fill("g_tmp", 0.0, ghost_layers=True)
h_tmp = dh.add_array("h_tmp",values_per_cell=len(stencil_phase))
dh.fill("h_tmp", 0.0, ghost_layers=True)
u = dh.add_array("u", values_per_cell=dh.dim)
dh.fill("u", 0.0, ghost_layers=True)
C = dh.add_array("C")
dh.fill("C", 0.0, ghost_layers=True)
```
%% Cell type:code id: tags:
``` python
tau = 0.5 + tau_L + (C.center) * (tau_H - tau_L)
s8 = 1/(tau)
rho = rho_L + (C.center) * (rho_H - rho_L)
body_force = [0, 0, 0]
body_force[1] = gravitational_acceleration * rho
```
%% Cell type:code id: tags:
``` python
method_phase = create_lb_method(stencil=stencil_phase, method='srt', relaxation_rate=w_c, compressible = True)
method_hydro = create_lb_method(stencil=stencil_hydro, method="mrt", weighted=True,
relaxation_rates=[s8, 1, 1, 1, 1, 1], maxwellian_moments=True, entropic=False)
```
%% Cell type:code id: tags:
``` python
# initialize the domain
def Initialize_distributions():
Nx = domain_size[0]
Ny = domain_size[1]
for block in dh.iterate(ghost_layers=True, inner_ghost_layers=False):
x = np.zeros_like(block.midpoint_arrays[0])
x[:, :] = block.midpoint_arrays[0]
y = np.zeros_like(block.midpoint_arrays[1])
y[:, :] = block.midpoint_arrays[1]
y -= 2 * L0
tmp = 0.1 * Nx * np.cos((2 * math.pi * x) / Nx)
init_values = 0.5 + 0.5 * np.tanh((y - tmp) / (W / 2))
block["C"][:, :] = init_values
if gpu:
dh.all_to_gpu()
dh.run_kernel(h_init)
dh.run_kernel(g_init)
```
%% Cell type:code id: tags:
``` python
h_updates = initializer_kernel_phase_field_lb(h, C, u, method_phase, W)
g_updates = initializer_kernel_hydro_lb(g, u, method_hydro)
h_init = ps.create_kernel(h_updates, target=dh.default_target, cpu_openmp=True).compile()
g_init = ps.create_kernel(g_updates, target=dh.default_target, cpu_openmp=True).compile()
```
%% Cell type:code id: tags:
``` python
force_h = [f / 3 for f in interface_tracking_force(C, stencil_phase, W)]
force_model_h = MultiphaseForceModel(force=force_h)
force_g = hydrodynamic_force(g, C, method_hydro, tau, rho_H, rho_L, kappa, beta, body_force)
```
%% Cell type:code id: tags:
``` python
h_tmp_symbol_list = [h_tmp.center(i) for i, _ in enumerate(stencil_phase)]
sum_h = np.sum(h_tmp_symbol_list[:])
method_phase.set_force_model(force_model_h)
allen_cahn_lb = create_lb_update_rule(lb_method=method_phase,
velocity_input = u,
compressible = True,
optimization = {"symbolic_field": h,
"symbolic_temporary_field": h_tmp},
kernel_type = 'stream_pull_collide')
allen_cahn_lb.set_main_assignments_from_dict({**allen_cahn_lb.main_assignments_dict, **{C.center: sum_h}})
allen_cahn_lb = sympy_cse(allen_cahn_lb)
ast_allen_cahn_lb = ps.create_kernel(allen_cahn_lb, target=dh.default_target, cpu_openmp=True)
kernel_allen_cahn_lb = ast_allen_cahn_lb.compile()
```
%% Cell type:code id: tags:
``` python
hydro_lb_update_rule = get_collision_assignments_hydro(lb_method=method_hydro,
density=rho,
velocity_input=u,
force = force_g,
sub_iterations=2,
optimization={"symbolic_field": g,
"symbolic_temporary_field": g_tmp},
kernel_type='collide_only')
hydro_lb_update_rule = sympy_cse(hydro_lb_update_rule)
ast_hydro_lb = ps.create_kernel(hydro_lb_update_rule, target=dh.default_target, cpu_openmp=True)
kernel_hydro_lb = ast_hydro_lb.compile()
```
%% Cell type:code id: tags:
``` python
# periodic Boundarys for g, h and C
periodic_BC_g = dh.synchronization_function(g.name, target=dh.default_target, optimization = {"openmp": True})
periodic_BC_h = dh.synchronization_function(h.name, target=dh.default_target, optimization = {"openmp": True})
periodic_BC_C = dh.synchronization_function(C.name, target=dh.default_target, optimization = {"openmp": True})
# No slip boundary for the phasefield lbm
bh_allen_cahn = LatticeBoltzmannBoundaryHandling(method_phase, dh, 'h',
target=dh.default_target, name='boundary_handling_h')
# No slip boundary for the velocityfield lbm
bh_hydro = LatticeBoltzmannBoundaryHandling(method_hydro, dh, 'g' ,
target=dh.default_target, name='boundary_handling_g')
wall = NoSlip()
if dimensions == 2:
bh_allen_cahn.set_boundary(wall, make_slice[:, 0])
bh_allen_cahn.set_boundary(wall, make_slice[:, -1])
bh_hydro.set_boundary(wall, make_slice[:, 0])
bh_hydro.set_boundary(wall, make_slice[:, -1])
else:
bh_allen_cahn.set_boundary(wall, make_slice[:, 0, :])
bh_allen_cahn.set_boundary(wall, make_slice[:, -1, :])
bh_hydro.set_boundary(wall, make_slice[:, 0, :])
bh_hydro.set_boundary(wall, make_slice[:, -1, :])
bh_allen_cahn.prepare()
bh_hydro.prepare()
```
%% Cell type:code id: tags:
``` python
ac_g = create_lb_update_rule(stencil = stencil_hydro,
optimization={"symbolic_field": g,
"symbolic_temporary_field": g_tmp},
kernel_type='stream_pull_only')
ast_g = ps.create_kernel(ac_g, target=dh.default_target, cpu_openmp=True)
stream_g = ast_g.compile()
```
%% Cell type:code id: tags:
``` python
# definition of the timestep for the immiscible fluids model
def Improved_PhaseField_h_g():
bh_allen_cahn()
periodic_BC_h()
dh.run_kernel(kernel_allen_cahn_lb)
periodic_BC_C()
dh.run_kernel(kernel_hydro_lb)
bh_hydro()
periodic_BC_g()
dh.run_kernel(stream_g)
dh.swap("h", "h_tmp")
dh.swap("g", "g_tmp")
```
%% Cell type:code id: tags:
``` python
Initialize_distributions()
for i in range(0, timesteps):
Improved_PhaseField_h_g()
```
%% Cell type:code id: tags:
``` python
if gpu:
dh.to_cpu("C")
Ny = domain_size[1]
pos_liquid_front = (np.argmax(dh.cpu_arrays["C"][L0//2, :] > 0.5) - Ny//2)/L0
pos_bubble_front = (np.argmax(dh.cpu_arrays["C"][0, :] > 0.5) - Ny//2)/L0
```
%% Cell type:code id: tags:
``` python
assert(pos_liquid_front == -0.10546875)
assert(pos_bubble_front == 0.09765625)
assert(np.isclose(pos_liquid_front, -1e-1, atol=0.01))
assert(np.isclose(pos_bubble_front, 9e-2, atol=0.01))
```
......
......@@ -33,7 +33,7 @@ def check_for_matching_equilibrium(method_name, stencil, compressibility):
diff = sp.Matrix(reference_equilibrium) - sp.Matrix([eq.rhs for eq in equilibrium.main_assignments])
diff = sp.simplify(diff)
assert diff.is_zero
assert sum(diff).is_zero
@pytest.mark.parametrize("stencil_name", ["D2Q9", "D3Q15", "D3Q19", "D3Q27"])
......
......@@ -16,7 +16,7 @@ def test_lbm_vectorization_short():
optimization={'vectorization': {'instruction_set': 'avx',
'assume_aligned': True,
'nontemporal': True,
'assume_inner_stride_one': False,
'assume_inner_stride_one': True,
'assume_sufficient_line_padding': False,
}},
fixed_loop_sizes=False)
......
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