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from .creationfunctions import (
create_lb_ast,
create_lb_collision_rule,
create_lb_function,
create_lb_method,
create_lb_update_rule,
LBMConfig,
LBMOptimisation,
)
from .enums import Stencil, Method, ForceModel, CollisionSpace, SubgridScaleModel
from .lbstep import LatticeBoltzmannStep
from .macroscopic_value_kernels import (
pdf_initialization_assignments,
macroscopic_values_getter,
strain_rate_tensor_getter,
compile_macroscopic_values_getter,
compile_macroscopic_values_setter,
create_advanced_velocity_setter_collision_rule,
)
from .maxwellian_equilibrium import get_weights
from .relaxationrates import (
relaxation_rate_from_lattice_viscosity,
lattice_viscosity_from_relaxation_rate,
relaxation_rate_from_magic_number,
)
from .scenarios import create_lid_driven_cavity, create_fully_periodic_flow
from .stencils import LBStencil
__all__ = [
"create_lb_ast",
"create_lb_collision_rule",
"create_lb_function",
"create_lb_method",
"create_lb_update_rule",
"LBMConfig",
"LBMOptimisation",
"Stencil",
"Method",
"ForceModel",
"CollisionSpace",
"SubgridScaleModel",
"LatticeBoltzmannStep",
"pdf_initialization_assignments",
"macroscopic_values_getter",
"strain_rate_tensor_getter",
"compile_macroscopic_values_getter",
"compile_macroscopic_values_setter",
"create_advanced_velocity_setter_collision_rule",
"get_weights",
"relaxation_rate_from_lattice_viscosity",
"lattice_viscosity_from_relaxation_rate",
"relaxation_rate_from_magic_number",
"create_lid_driven_cavity",
"create_fully_periodic_flow",
"LBStencil",
]
from . import _version
__version__ = _version.get_versions()['version']
from .indexing import BetweenTimestepsIndexing, NeighbourOffsetArrays
from .indexing import BetweenTimestepsIndexing
from .communication import get_communication_slices, LBMPeriodicityHandling
from .utility import Timestep, get_accessor, is_inplace, get_timesteps, \
numeric_index, numeric_offsets, inverse_dir_index, AccessPdfValues
__all__ = ['BetweenTimestepsIndexing', 'NeighbourOffsetArrays',
__all__ = ['BetweenTimestepsIndexing',
'get_communication_slices', 'LBMPeriodicityHandling',
'Timestep', 'get_accessor', 'is_inplace', 'get_timesteps',
'numeric_index', 'numeric_offsets', 'inverse_dir_index', 'AccessPdfValues']
import itertools
from pystencils import CreateKernelConfig, Field, Assignment, AssignmentCollection
from pystencils.slicing import shift_slice, get_slice_before_ghost_layer, normalize_slice
from lbmpy.advanced_streaming.utility import is_inplace, get_accessor, numeric_index,\
Timestep, get_timesteps, numeric_offsets
from pystencils.slicing import (
shift_slice,
get_slice_before_ghost_layer,
normalize_slice,
)
from lbmpy.advanced_streaming.utility import (
is_inplace,
get_accessor,
numeric_index,
Timestep,
get_timesteps,
numeric_offsets,
)
from pystencils.datahandling import SerialDataHandling
from pystencils.enums import Target
from itertools import chain
......@@ -10,22 +20,28 @@ from itertools import chain
class LBMPeriodicityHandling:
def __init__(self, stencil, data_handling, pdf_field_name,
streaming_pattern='pull', ghost_layers=1,
pycuda_direct_copy=True):
def __init__(
self,
stencil,
data_handling,
pdf_field_name,
streaming_pattern="pull",
ghost_layers=1,
cupy_direct_copy=True,
):
"""
Periodicity Handling for Lattice Boltzmann Streaming.
**On the usage with cuda:**
- pycuda allows the copying of sliced arrays within device memory using the numpy syntax,
e.g. `dst[:,0] = src[:,-1]`. In this implementation, this is the default for periodicity
handling. Alternatively, if you set `pycuda_direct_copy=False`, GPU kernels are generated and
compiled. The compiled kernels are almost twice as fast in execution as pycuda array copying,
but especially for large stencils like D3Q27, their compilation can take up to 20 seconds.
Choose your weapon depending on your use case.
Periodicity Handling for Lattice Boltzmann Streaming.
**On the usage with cuda:**
- cupy allows the copying of sliced arrays within device memory using the numpy syntax,
e.g. `dst[:,0] = src[:,-1]`. In this implementation, this is the default for periodicity
handling. Alternatively, if you set `cupy_direct_copy=False`, GPU kernels are generated and
compiled. The compiled kernels are almost twice as fast in execution as cupy array copying,
but especially for large stencils like D3Q27, their compilation can take up to 20 seconds.
Choose your weapon depending on your use case.
"""
if not isinstance(data_handling, SerialDataHandling):
raise ValueError('Only serial data handling is supported!')
raise ValueError("Only serial data handling is supported!")
self.stencil = stencil
self.dim = stencil.D
......@@ -40,7 +56,7 @@ class LBMPeriodicityHandling:
self.inplace_pattern = is_inplace(streaming_pattern)
self.cpu = self.target == Target.CPU
self.pycuda_direct_copy = self.target == Target.GPU and pycuda_direct_copy
self.cupy_direct_copy = self.target == Target.GPU and cupy_direct_copy
def is_copy_direction(direction):
s = 0
......@@ -56,14 +72,18 @@ class LBMPeriodicityHandling:
self.comm_slices = []
timesteps = get_timesteps(streaming_pattern)
for timestep in timesteps:
slices_per_comm_dir = get_communication_slices(stencil=stencil,
comm_stencil=copy_directions,
streaming_pattern=streaming_pattern,
prev_timestep=timestep,
ghost_layers=ghost_layers)
self.comm_slices.append(list(chain.from_iterable(v for k, v in slices_per_comm_dir.items())))
if self.target == Target.GPU and not pycuda_direct_copy:
slices_per_comm_dir = get_communication_slices(
stencil=stencil,
comm_stencil=copy_directions,
streaming_pattern=streaming_pattern,
prev_timestep=timestep,
ghost_layers=ghost_layers,
)
self.comm_slices.append(
list(chain.from_iterable(v for k, v in slices_per_comm_dir.items()))
)
if self.target == Target.GPU and not cupy_direct_copy:
self.device_copy_kernels = list()
for timestep in timesteps:
self.device_copy_kernels.append(self._compile_copy_kernels(timestep))
......@@ -81,16 +101,16 @@ class LBMPeriodicityHandling:
arr[dst] = arr[src]
def _compile_copy_kernels(self, timestep):
assert self.target == Target.GPU
pdf_field = self.dh.fields[self.pdf_field_name]
kernels = []
for src, dst in self.comm_slices[timestep.idx]:
kernels.append(
periodic_pdf_copy_kernel(pdf_field, src, dst, target=self.target))
kernels.append(periodic_pdf_gpu_copy_kernel(pdf_field, src, dst))
return kernels
def _periodicity_handling_gpu(self, prev_timestep):
arr = self.dh.gpu_arrays[self.pdf_field_name]
if self.pycuda_direct_copy:
if self.cupy_direct_copy:
for src, dst in self.comm_slices[prev_timestep.idx]:
arr[dst] = arr[src]
else:
......@@ -100,7 +120,12 @@ class LBMPeriodicityHandling:
def get_communication_slices(
stencil, comm_stencil=None, streaming_pattern='pull', prev_timestep=Timestep.BOTH, ghost_layers=1):
stencil,
comm_stencil=None,
streaming_pattern="pull",
prev_timestep=Timestep.BOTH,
ghost_layers=1,
):
"""
Return the source and destination slices for periodicity handling or communication between blocks.
......@@ -116,7 +141,9 @@ def get_communication_slices(
if comm_stencil is None:
comm_stencil = itertools.product(*([-1, 0, 1] for _ in range(stencil.D)))
pdfs = Field.create_generic('pdfs', spatial_dimensions=len(stencil[0]), index_shape=(stencil.Q,))
pdfs = Field.create_generic(
"pdfs", spatial_dimensions=len(stencil[0]), index_shape=(stencil.Q,)
)
write_accesses = get_accessor(streaming_pattern, prev_timestep).write(pdfs, stencil)
slices_per_comm_direction = dict()
......@@ -130,7 +157,9 @@ def get_communication_slices(
d = stencil.index(streaming_dir)
write_index = numeric_index(write_accesses[d])[0]
origin_slice = get_slice_before_ghost_layer(comm_dir, ghost_layers=ghost_layers, thickness=1)
origin_slice = get_slice_before_ghost_layer(
comm_dir, ghost_layers=ghost_layers, thickness=1
)
src_slice = _fix_length_one_slices(origin_slice)
write_offsets = numeric_offsets(write_accesses[d])
......@@ -138,13 +167,15 @@ def get_communication_slices(
# TODO: this is just a hotfix. _trim_slice_in_direction breaks FreeSlip BC with adjacent periodic side
if streaming_pattern != "pull":
src_slice = shift_slice(_trim_slice_in_direction(src_slice, tangential_dir), write_offsets)
src_slice = shift_slice(
_trim_slice_in_direction(src_slice, tangential_dir), write_offsets
)
neighbour_transform = _get_neighbour_transform(comm_dir, ghost_layers)
dst_slice = shift_slice(src_slice, neighbour_transform)
src_slice = src_slice + (write_index, )
dst_slice = dst_slice + (write_index, )
src_slice = src_slice + (write_index,)
dst_slice = dst_slice + (write_index,)
slices_for_dir.append((src_slice, dst_slice))
......@@ -152,10 +183,10 @@ def get_communication_slices(
return slices_per_comm_direction
def periodic_pdf_copy_kernel(pdf_field, src_slice, dst_slice,
domain_size=None, target=Target.GPU):
"""Copies a rectangular array slice onto another non-overlapping array slice"""
from pystencils.gpucuda.kernelcreation import create_cuda_kernel
def periodic_pdf_gpu_copy_kernel(pdf_field, src_slice, dst_slice, domain_size=None):
"""Generate a GPU kernel which copies all values from one slice of a field
to another non-overlapping slice."""
from pystencils import create_kernel
pdf_idx = src_slice[-1]
assert isinstance(pdf_idx, int), "PDF index needs to be an integer constant"
......@@ -163,6 +194,7 @@ def periodic_pdf_copy_kernel(pdf_field, src_slice, dst_slice,
src_slice = src_slice[:-1]
dst_slice = dst_slice[:-1]
# TODO this is the domain_size with GL
if domain_size is None:
domain_size = pdf_field.spatial_shape
......@@ -175,18 +207,28 @@ def periodic_pdf_copy_kernel(pdf_field, src_slice, dst_slice,
def _stop(s):
return s.stop if isinstance(s, slice) else s
offset = [_start(s1) - _start(s2) for s1, s2 in zip(normalized_from_slice, normalized_to_slice)]
assert offset == [_stop(s1) - _stop(s2) for s1, s2 in zip(normalized_from_slice, normalized_to_slice)], \
"Slices have to have same size"
copy_eq = AssignmentCollection(main_assignments=[Assignment(pdf_field(pdf_idx), pdf_field[tuple(offset)](pdf_idx))])
config = CreateKernelConfig(iteration_slice=dst_slice, skip_independence_check=True)
ast = create_cuda_kernel(copy_eq, config=config)
if target == Target.GPU:
from pystencils.gpucuda import make_python_function
return make_python_function(ast)
else:
raise ValueError('Invalid target:', target)
offset = [
_start(s1) - _start(s2)
for s1, s2 in zip(normalized_from_slice, normalized_to_slice)
]
assert offset == [
_stop(s1) - _stop(s2)
for s1, s2 in zip(normalized_from_slice, normalized_to_slice)
], "Slices have to have same size"
copy_eq = AssignmentCollection(
main_assignments=[
Assignment(pdf_field(pdf_idx), pdf_field[tuple(offset)](pdf_idx))
]
)
config = CreateKernelConfig(
iteration_slice=dst_slice,
skip_independence_check=True,
target=Target.GPU,
)
ast = create_kernel(copy_eq, config=config)
return ast.compile()
def _extend_dir(direction):
......@@ -195,10 +237,10 @@ def _extend_dir(direction):
elif direction[0] == 0:
for d in [-1, 0, 1]:
for rest in _extend_dir(direction[1:]):
yield (d, ) + rest
yield (d,) + rest
else:
for rest in _extend_dir(direction[1:]):
yield (direction[0], ) + rest
yield (direction[0],) + rest
def _get_neighbour_transform(direction, ghost_layers):
......
......@@ -3,17 +3,12 @@ import sympy as sp
import pystencils as ps
from pystencils.typing import TypedSymbol, create_type
from pystencils.backends.cbackend import CustomCodeNode
from lbmpy.advanced_streaming.utility import get_accessor, inverse_dir_index, is_inplace, Timestep
from lbmpy.custom_code_nodes import TranslationArraysNode
from itertools import product
def _array_pattern(dtype, name, content):
return f"const {str(dtype)} {name} [] = {{ {','.join(str(c) for c in content)} }}; \n"
class BetweenTimestepsIndexing:
# ==============================================
......@@ -30,7 +25,7 @@ class BetweenTimestepsIndexing:
@property
def inverse_dir_symbol(self):
"""Symbol denoting the inversion of a PDF field index.
"""Symbol denoting the inversion of a PDF field index.
Use only at top-level of index to f_out or f_in, otherwise it can't be correctly replaced."""
return sp.IndexedBase('invdir')
......@@ -168,90 +163,21 @@ class BetweenTimestepsIndexing:
return trivial_index_translations, trivial_offset_translations
def create_code_node(self):
return BetweenTimestepsIndexing.TranslationArraysNode(self)
class TranslationArraysNode(CustomCodeNode):
def __init__(self, indexing):
code = ''
symbols_defined = set()
for f_dir, inv in indexing._required_index_arrays:
indices, offsets = indexing._get_translated_indices_and_offsets(f_dir, inv)
index_array_symbol = indexing._index_array_symbol(f_dir, inv)
symbols_defined.add(index_array_symbol)
code += _array_pattern(indexing._index_dtype, index_array_symbol.name, indices)
for f_dir, inv in indexing._required_offset_arrays:
indices, offsets = indexing._get_translated_indices_and_offsets(f_dir, inv)
offset_array_symbols = indexing._offset_array_symbols(f_dir, inv)
symbols_defined |= set(offset_array_symbols)
for d, arrsymb in enumerate(offset_array_symbols):
code += _array_pattern(indexing._offsets_dtype, arrsymb.name, offsets[d])
super(BetweenTimestepsIndexing.TranslationArraysNode, self).__init__(
code, symbols_read=set(), symbols_defined=symbols_defined)
array_content = list()
symbols_defined = set()
for f_dir, inv in self._required_index_arrays:
indices, offsets = self._get_translated_indices_and_offsets(f_dir, inv)
index_array_symbol = self._index_array_symbol(f_dir, inv)
symbols_defined.add(index_array_symbol)
array_content.append((self._index_dtype, index_array_symbol.name, indices))
def __str__(self):
return "Variable PDF Access Translation Arrays"
for f_dir, inv in self._required_offset_arrays:
indices, offsets = self._get_translated_indices_and_offsets(f_dir, inv)
offset_array_symbols = self._offset_array_symbols(f_dir, inv)
symbols_defined |= set(offset_array_symbols)
for d, arrsymb in enumerate(offset_array_symbols):
array_content.append((self._offsets_dtype, arrsymb.name, offsets[d]))
def __repr__(self):
return "Variable PDF Access Translation Arrays"
return TranslationArraysNode(array_content, symbols_defined)
# end class AdvancedStreamingIndexing
class NeighbourOffsetArrays(CustomCodeNode):
@staticmethod
def neighbour_offset(dir_idx, stencil):
if isinstance(sp.sympify(dir_idx), sp.Integer):
return stencil[dir_idx]
else:
return tuple([sp.IndexedBase(symbol, shape=(1,))[dir_idx]
for symbol in NeighbourOffsetArrays._offset_symbols(len(stencil[0]))])
@staticmethod
def _offset_symbols(dim):
return [TypedSymbol(f"neighbour_offset_{d}", create_type(np.int32)) for d in ['x', 'y', 'z'][:dim]]
def __init__(self, stencil, offsets_dtype=np.int32):
offsets_dtype = create_type(offsets_dtype)
dim = len(stencil[0])
array_symbols = NeighbourOffsetArrays._offset_symbols(dim)
code = "\n"
for i, arrsymb in enumerate(array_symbols):
code += _array_pattern(offsets_dtype, arrsymb.name, (d[i] for d in stencil))
offset_symbols = NeighbourOffsetArrays._offset_symbols(dim)
super(NeighbourOffsetArrays, self).__init__(code, symbols_read=set(),
symbols_defined=set(offset_symbols))
class MirroredStencilDirections(CustomCodeNode):
@staticmethod
def mirror_stencil(direction, mirror_axis):
assert mirror_axis <= len(direction), f"only {len(direction)} axis available for mirage"
direction = list(direction)
direction[mirror_axis] = -direction[mirror_axis]
return tuple(direction)
@staticmethod
def _mirrored_symbol(mirror_axis):
axis = ['x', 'y', 'z']
return TypedSymbol(f"{axis[mirror_axis]}_axis_mirrored_stencil_dir", create_type(np.int32))
def __init__(self, stencil, mirror_axis, dtype=np.int32):
offsets_dtype = create_type(dtype)
mirrored_stencil_symbol = MirroredStencilDirections._mirrored_symbol(mirror_axis)
mirrored_directions = [stencil.index(MirroredStencilDirections.mirror_stencil(direction, mirror_axis))
for direction in stencil]
code = "\n"
code += _array_pattern(offsets_dtype, mirrored_stencil_symbol.name, mirrored_directions)
super(MirroredStencilDirections, self).__init__(code, symbols_read=set(),
symbols_defined={mirrored_stencil_symbol})
......@@ -58,24 +58,27 @@ odd_accessors = {
}
def is_inplace(streaming_pattern):
if streaming_pattern not in streaming_patterns:
raise ValueError('Invalid streaming pattern', streaming_pattern)
return streaming_pattern in ['aa', 'esotwist', 'esopull', 'esopush']
def get_accessor(streaming_pattern: str, timestep: Timestep) -> PdfFieldAccessor:
if streaming_pattern not in streaming_patterns:
raise ValueError(
"Invalid value of parameter 'streaming_pattern'.", streaming_pattern)
if is_inplace(streaming_pattern) and (timestep == Timestep.BOTH):
raise ValueError(f"Invalid timestep for streaming pattern {streaming_pattern}: {str(timestep)}")
if timestep == Timestep.EVEN:
return even_accessors[streaming_pattern]
else:
return odd_accessors[streaming_pattern]
def is_inplace(streaming_pattern):
if streaming_pattern not in streaming_patterns:
raise ValueError('Invalid streaming pattern', streaming_pattern)
return streaming_pattern in ['aa', 'esotwist', 'esopull', 'esopush']
def get_timesteps(streaming_pattern):
return (Timestep.EVEN, Timestep.ODD) if is_inplace(streaming_pattern) else (Timestep.BOTH, )
......
from typing import Union
from numpy.typing import NDArray
def poiseuille_flow(middle_distance: Union[float, NDArray], height,
ext_force_density: float, dyn_visc: float) -> Union[float, NDArray]:
"""
Analytical solution for plane Poiseuille flow.
Args:
middle_distance: Distance to the middle plane of the channel.
height: Distance between the boundaries.
ext_force_density: Force density on the fluid normal to the boundaries.
dyn_visc: dyn_visc
Returns:
A numpy array of the poiseuille profile if middle_distance is given as array otherwise of velocity of
the position given with middle_distance
"""
return ext_force_density * 1. / (2 * dyn_visc) * (height**2.0 / 4.0 - middle_distance**2.0)
from lbmpy.boundaries.boundaryconditions import (
UBB, FixedDensity, DiffusionDirichlet, SimpleExtrapolationOutflow, WallFunctionBounce,
ExtrapolationOutflow, NeumannByCopy, NoSlip, NoSlipLinearBouzidi, QuadraticBounceBack, StreamInConstant, FreeSlip)
from lbmpy.boundaries.boundaryhandling import LatticeBoltzmannBoundaryHandling
from lbmpy.boundaries.wall_function_models import MoninObukhovSimilarityTheory, LogLaw, MuskerLaw, SpaldingsLaw
__all__ = ['NoSlip', 'NoSlipLinearBouzidi', 'QuadraticBounceBack', 'FreeSlip', 'WallFunctionBounce',
'UBB', 'FixedDensity',
'SimpleExtrapolationOutflow', 'ExtrapolationOutflow',
'DiffusionDirichlet', 'NeumannByCopy', 'StreamInConstant',
'LatticeBoltzmannBoundaryHandling',
'MoninObukhovSimilarityTheory', 'LogLaw', 'MuskerLaw', 'SpaldingsLaw']
import sympy as sp
from lbmpy.boundaries.boundaryhandling import LbmWeightInfo
from lbmpy.advanced_streaming.indexing import BetweenTimestepsIndexing
from lbmpy.advanced_streaming.utility import Timestep, get_accessor
from lbmpy.custom_code_nodes import LbmWeightInfo
from pystencils.boundaries.boundaryhandling import BoundaryOffsetInfo
from pystencils.assignment import Assignment
from pystencils.astnodes import Block, Conditional, LoopOverCoordinate, SympyAssignment
......@@ -67,7 +67,7 @@ def boundary_conditional(boundary, direction, streaming_pattern, prev_timestep,
assignments = []
for direction_idx in dir_indices:
rule = boundary(f_out, f_in, direction_idx, inv_dir, lb_method, index_field=None)
rule = boundary(f_out, f_in, direction_idx, inv_dir, lb_method, index_field=None, force_vector=None)
# rhs: replace f_out by post collision symbols.
rhs_substitutions = {f_out(i): sym for i, sym in enumerate(lb_method.post_collision_pdf_symbols)}
......
from dataclasses import replace
import numpy as np
import sympy as sp
from lbmpy.advanced_streaming.indexing import BetweenTimestepsIndexing
from lbmpy.advanced_streaming.utility import is_inplace, Timestep, AccessPdfValues
from pystencils import Field, Assignment, TypedSymbol, create_kernel
from pystencils.stencil import inverse_direction
from pystencils import CreateKernelConfig, Target
from pystencils import Assignment, CreateKernelConfig, create_kernel, Field, Target
from pystencils.boundaries import BoundaryHandling
from pystencils.boundaries.createindexlist import numpy_data_type_for_boundary_object
from pystencils.backends.cbackend import CustomCodeNode
from pystencils.field import FieldType
from pystencils.simp import add_subexpressions_for_field_reads
from pystencils.stencil import inverse_direction
from lbmpy.advanced_streaming.indexing import BetweenTimestepsIndexing
from lbmpy.advanced_streaming.utility import is_inplace, Timestep, AccessPdfValues
class LatticeBoltzmannBoundaryHandling(BoundaryHandling):
"""
Enables boundary handling for LBM simulations with advanced streaming patterns.
For the in-place patterns AA and EsoTwist, two kernels are generated for a boundary
Enables boundary handling for LBM simulations with advanced streaming patterns.
For the in-place patterns AA and EsoTwist, two kernels are generated for a boundary
object and the right one selected depending on the time step.
"""
......@@ -154,53 +156,39 @@ class LatticeBoltzmannBoundaryHandling(BoundaryHandling):
# end class LatticeBoltzmannBoundaryHandling
class LbmWeightInfo(CustomCodeNode):
def __init__(self, lb_method, data_type='double'):
self.weights_symbol = TypedSymbol("weights", data_type)
data_type_string = "double" if self.weights_symbol.dtype.numpy_dtype == np.float64 else "float"
weights = [str(w.evalf(17)) for w in lb_method.weights]
if data_type_string == "float":
weights = "f, ".join(weights)
weights += "f" # suffix for the last element
else:
weights = ", ".join(weights)
w_sym = self.weights_symbol
code = f"const {data_type_string} {w_sym.name} [] = {{{ weights }}};\n"
super(LbmWeightInfo, self).__init__(code, symbols_read=set(), symbols_defined={w_sym})
def weight_of_direction(self, dir_idx, lb_method=None):
if isinstance(sp.sympify(dir_idx), sp.Integer):
return lb_method.weights[dir_idx].evalf(17)
else:
return sp.IndexedBase(self.weights_symbol, shape=(1,))[dir_idx]
# end class LbmWeightInfo
def create_lattice_boltzmann_boundary_kernel(pdf_field, index_field, lb_method, boundary_functor,
prev_timestep=Timestep.BOTH, streaming_pattern='pull',
target=Target.CPU, **kernel_creation_args):
target=Target.CPU, force_vector=None, **kernel_creation_args):
indexing = BetweenTimestepsIndexing(
pdf_field, lb_method.stencil, prev_timestep, streaming_pattern, np.int32, np.int32)
dim = lb_method.stencil.D
f_out, f_in = indexing.proxy_fields
dir_symbol = indexing.dir_symbol
inv_dir = indexing.inverse_dir_symbol
boundary_assignments = boundary_functor(f_out, f_in, dir_symbol, inv_dir, lb_method, index_field)
config = CreateKernelConfig(target=target, default_number_int="int32",
skip_independence_check=True, **kernel_creation_args)
default_data_type = config.data_type.default_factory()
if force_vector is None:
force_vector_type = np.dtype([(f"F_{i}", default_data_type.c_name) for i in range(dim)], align=True)
force_vector = Field.create_generic('force_vector', spatial_dimensions=1,
dtype=force_vector_type, field_type=FieldType.INDEXED)
config = replace(config, index_fields=[index_field, force_vector])
boundary_assignments = boundary_functor(f_out, f_in, dir_symbol, inv_dir, lb_method, index_field, force_vector)
boundary_assignments = indexing.substitute_proxies(boundary_assignments)
# Code Elements inside the loop
if pdf_field.dtype != default_data_type:
boundary_assignments = add_subexpressions_for_field_reads(boundary_assignments, data_type=default_data_type)
elements = [Assignment(dir_symbol, index_field[0]('dir'))]
elements += boundary_assignments.all_assignments
config = CreateKernelConfig(index_fields=[index_field], target=target, default_number_int="int32",
skip_independence_check=True, **kernel_creation_args)
kernel = create_kernel(elements, config=config)
# Code Elements ahead of the loop
......
import sympy as sp
from abc import ABC, abstractmethod
from pystencils import Assignment
class WallFunctionModel(ABC):
def __init__(self, name):
self._name = name
@abstractmethod
def shear_stress_assignments(self, density_symbol: sp.Symbol, shear_stress_symbol: sp.Symbol,
velocity_symbol: sp.Symbol, wall_distance, u_tau_target):
"""
Computes a symbolic representation for the log law.
Args:
density_symbol: symbol density, should be provided by the LB method's conserved quantity computation
shear_stress_symbol: symbolic wall shear stress to which the calculated shear stress will be assigned
velocity_symbol: symbolic velocity that is taken as a reference in the wall functions
wall_distance: distance to the wall, equals to 0.5 in standard cell-centered LBM
u_tau_target: in implicit wall functions, a target friction velocity can be provided which will be used as
initial guess in the Newton iteration. This target friction velocity can be obtained, e.g.,
from the target friction Reynolds number
"""
pass
# end class WallFunctionModel
class ExplicitWallFunctionModel(WallFunctionModel, ABC):
"""
Abstract base class for explicit wall functions that can be solved directly for the wall shear stress.
"""
def __init__(self, name):
super(ExplicitWallFunctionModel, self).__init__(name=name)
class MoninObukhovSimilarityTheory(ExplicitWallFunctionModel):
def __init__(self, z0, kappa=0.41, phi=0, name="MOST"):
self.z0 = z0
self.kappa = kappa
self.phi = phi
super(MoninObukhovSimilarityTheory, self).__init__(name=name)
def shear_stress_assignments(self, density_symbol: sp.Symbol, shear_stress_symbol: sp.Symbol,
velocity_symbol: sp.Symbol, wall_distance, u_tau_target=None):
u_tau = velocity_symbol * self.kappa / sp.ln(wall_distance / self.z0 + self.phi)
return [Assignment(shear_stress_symbol, u_tau ** 2 * density_symbol)]
class ImplicitWallFunctionModel(WallFunctionModel, ABC):
"""
Abstract base class for implicit wall functions that require a Newton procedure to solve for the wall shear stress.
"""
def __init__(self, name, newton_steps, viscosity):
self.newton_steps = newton_steps
self.u_tau = sp.symbols(f"wall_function_u_tau_:{self.newton_steps + 1}")
self.delta = sp.symbols(f"wall_function_delta_:{self.newton_steps}")
self.viscosity = viscosity
super(ImplicitWallFunctionModel, self).__init__(name=name)
def newton_iteration(self, wall_law):
m = -wall_law / wall_law.diff(self.u_tau[0])
assignments = []
for i in range(self.newton_steps):
assignments.append(Assignment(self.delta[i], m.subs({self.u_tau[0]: self.u_tau[i]})))
assignments.append(Assignment(self.u_tau[i + 1], self.u_tau[i] + self.delta[i]))
return assignments
class LogLaw(ImplicitWallFunctionModel):
"""
Analytical model for the velocity profile inside the boundary layer, obtained from the mean velocity gradient.
Only valid in the log-law region.
"""
def __init__(self, viscosity, newton_steps=5, kappa=0.41, b=5.2, name="LogLaw"):
self.kappa = kappa
self.b = b
super(LogLaw, self).__init__(name=name, newton_steps=newton_steps, viscosity=viscosity)
def shear_stress_assignments(self, density_symbol: sp.Symbol, shear_stress_symbol: sp.Symbol,
velocity_symbol: sp.Symbol, wall_distance, u_tau_target=None):
def law(u_p, y_p):
return 1 / self.kappa * sp.ln(y_p) + self.b - u_p
u_plus = velocity_symbol / self.u_tau[0]
y_plus = (wall_distance * self.u_tau[0]) / self.viscosity
u_tau_init = u_tau_target if u_tau_target else velocity_symbol / sp.Float(100)
wall_law = law(u_plus, y_plus)
assignments = [Assignment(self.u_tau[0], u_tau_init), # initial guess
*self.newton_iteration(wall_law), # newton iterations
Assignment(shear_stress_symbol, self.u_tau[-1] ** 2 * density_symbol)] # final result
return assignments
class SpaldingsLaw(ImplicitWallFunctionModel):
"""
Single formula for the velocity profile inside the boundary layer, proposed by Spalding :cite:`spalding1961`.
Valid in the inner and the outer layer.
"""
def __init__(self, viscosity, newton_steps=5, kappa=0.41, b=5.5, name="Spalding"):
self.kappa = kappa
self.b = b
super(SpaldingsLaw, self).__init__(name=name, newton_steps=newton_steps, viscosity=viscosity)
def shear_stress_assignments(self, density_symbol: sp.Symbol, shear_stress_symbol: sp.Symbol,
velocity_symbol: sp.Symbol, wall_distance, u_tau_target=None):
def law(u_p, y_p):
k_times_u = self.kappa * u_p
frac_1 = (k_times_u ** 2) / sp.Float(2)
frac_2 = (k_times_u ** 3) / sp.Float(6)
return (u_p + sp.exp(-self.kappa * self.b) * (sp.exp(k_times_u) - sp.Float(1) - k_times_u - frac_1 - frac_2)
- y_p)
u_plus = velocity_symbol / self.u_tau[0]
y_plus = (wall_distance * self.u_tau[0]) / self.viscosity
u_tau_init = u_tau_target if u_tau_target else velocity_symbol / sp.Float(100)
wall_law = law(u_plus, y_plus)
assignments = [Assignment(self.u_tau[0], u_tau_init), # initial guess
*self.newton_iteration(wall_law), # newton iterations
Assignment(shear_stress_symbol, self.u_tau[-1] ** 2 * density_symbol)] # final result
return assignments
class MuskerLaw(ImplicitWallFunctionModel):
"""
Quasi-analytical model for the velocity profile inside the boundary layer, proposed by Musker. Valid in the inner
and the outer layer.
Formulation taken from :cite:`malaspinas2015`, Equation (59).
"""
def __init__(self, viscosity, newton_steps=5, name="Musker"):
super(MuskerLaw, self).__init__(name=name, newton_steps=newton_steps, viscosity=viscosity)
def shear_stress_assignments(self, density_symbol: sp.Symbol, shear_stress_symbol: sp.Symbol,
velocity_symbol: sp.Symbol, wall_distance, u_tau_target=None):
def law(u_p, y_p):
arctan = sp.Float(5.424) * sp.atan(sp.Float(0.119760479041916168) * y_p - sp.Float(0.488023952095808383))
logarithm = (sp.Float(0.434) * sp.log((y_p + sp.Float(10.6)) ** sp.Float(9.6)
/ (y_p ** 2 - sp.Float(8.15) * y_p + sp.Float(86)) ** 2))
return (arctan + logarithm - sp.Float(3.50727901936264842)) - u_p
u_plus = velocity_symbol / self.u_tau[0]
y_plus = (wall_distance * self.u_tau[0]) / self.viscosity
u_tau_init = u_tau_target if u_tau_target else velocity_symbol / sp.Float(100)
wall_law = law(u_plus, y_plus)
assignments = [Assignment(self.u_tau[0], u_tau_init), # initial guess
*self.newton_iteration(wall_law), # newton iterations
Assignment(shear_stress_symbol, self.u_tau[-1] ** 2 * density_symbol)] # final result
return assignments
......@@ -370,7 +370,7 @@ def take_moments(eqn, pdf_to_moment_name=(('f', '\\Pi'), ('\\Omega f', '\\Upsilo
if new_f_index is None:
rest *= factor
else:
assert not(new_f_index and f_index)
assert not (new_f_index and f_index)
f_index = new_f_index
moment_tuple = [0] * len(velocity_terms)
......
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