def les_setup(u_, mesh, Smagorinsky, CG1Function, nut_krylov_solver, bcs,
**NS_namespace):
"""
Set up for solving Smagorinsky-Lilly LES model.
"""
DG = FunctionSpace(mesh, "DG", 0)
CG1 = FunctionSpace(mesh, "CG", 1)
# Compute cell size and put in delta
dim = mesh.geometry().dim()
delta = Function(DG)
delta.vector().zero()
delta.vector().set_local(
assemble(TestFunction(DG) * dx).array()**(1. / dim))
delta.vector().apply('insert')
# Set up Smagorinsky form
Sij = sym(grad(u_))
magS = sqrt(2 * inner(Sij, Sij))
nut_form = Smagorinsky['Cs']**2 * delta**2 * magS
bcs_nut = derived_bcs(CG1, bcs['u0'], u_)
nut_ = CG1Function(nut_form,
mesh,
method=nut_krylov_solver,
bcs=bcs_nut,
bounded=True,
name="nut")
return dict(Sij=Sij, nut_=nut_, delta=delta, bcs_nut=bcs_nut)
def les_setup(u_, mesh, KineticEnergySGS, assemble_matrix, CG1Function, nut_krylov_solver, bcs, **NS_namespace):
"""
Set up for solving the Kinetic Energy SGS-model.
"""
DG = FunctionSpace(mesh, "DG", 0)
CG1 = FunctionSpace(mesh, "CG", 1)
dim = mesh.geometry().dim()
delta = Function(DG)
delta.vector().zero()
delta.vector().axpy(1.0, assemble(TestFunction(DG)*dx))
delta.vector().set_local(delta.vector().array()**(1./dim))
delta.vector().apply('insert')
Ck = KineticEnergySGS["Ck"]
ksgs = interpolate(Constant(1E-7), CG1)
bc_ksgs = DirichletBC(CG1, 0, "on_boundary")
A_mass = assemble_matrix(TrialFunction(CG1)*TestFunction(CG1)*dx)
nut_form = Ck * delta * sqrt(ksgs)
bcs_nut = derived_bcs(CG1, bcs['u0'], u_)
nut_ = CG1Function(nut_form, mesh, method=nut_krylov_solver, bcs=bcs_nut, bounded=True, name="nut")
At = Matrix()
bt = Vector(nut_.vector())
ksgs_sol = KrylovSolver("bicgstab", "additive_schwarz")
ksgs_sol.parameters["preconditioner"]["structure"] = "same_nonzero_pattern"
ksgs_sol.parameters["error_on_nonconvergence"] = False
ksgs_sol.parameters["monitor_convergence"] = False
ksgs_sol.parameters["report"] = False
del NS_namespace
return locals()
def les_setup(u_, mesh, KineticEnergySGS, assemble_matrix, CG1Function,
nut_krylov_solver, bcs, **NS_namespace):
"""
Set up for solving the Kinetic Energy SGS-model.
"""
DG = FunctionSpace(mesh, "DG", 0)
CG1 = FunctionSpace(mesh, "CG", 1)
dim = mesh.geometry().dim()
delta = Function(DG)
delta.vector().zero()
delta.vector().axpy(1.0, assemble(TestFunction(DG) * dx))
delta.vector().set_local(delta.vector().array()**(1. / dim))
delta.vector().apply('insert')
Ck = KineticEnergySGS["Ck"]
ksgs = interpolate(Constant(1E-7), CG1)
bc_ksgs = DirichletBC(CG1, 0, "on_boundary")
A_mass = assemble_matrix(TrialFunction(CG1) * TestFunction(CG1) * dx)
nut_form = Ck * delta * sqrt(ksgs)
bcs_nut = derived_bcs(CG1, bcs['u0'], u_)
nut_ = CG1Function(nut_form,
mesh,
method=nut_krylov_solver,
bcs=bcs_nut,
bounded=True,
name="nut")
At = Matrix()
bt = Vector(nut_.vector())
ksgs_sol = KrylovSolver("bicgstab", "additive_schwarz")
#ksgs_sol.parameters["preconditioner"]["structure"] = "same_nonzero_pattern"
ksgs_sol.parameters["error_on_nonconvergence"] = False
ksgs_sol.parameters["monitor_convergence"] = False
ksgs_sol.parameters["report"] = False
del NS_namespace
return locals()
def les_setup(u_, mesh, Smagorinsky, CG1Function, nut_krylov_solver, bcs, **NS_namespace):
"""
Set up for solving Smagorinsky-Lilly LES model.
"""
DG = FunctionSpace(mesh, "DG", 0)
CG1 = FunctionSpace(mesh, "CG", 1)
dim = mesh.geometry().dim()
delta = Function(DG)
delta.vector().zero()
delta.vector().axpy(1.0, assemble(TestFunction(DG)*dx))
delta.vector().apply('insert')
Sij = sym(grad(u_))
magS = sqrt(2*inner(Sij,Sij))
nut_form = Smagorinsky['Cs']**2 * delta**2 * magS
bcs_nut = derived_bcs(CG1, bcs['u0'], u_)
nut_ = CG1Function(nut_form, mesh, method=nut_krylov_solver, bcs=bcs_nut, bounded=True, name="nut")
return dict(Sij=Sij, nut_=nut_, delta=delta, bcs_nut=bcs_nut)
def les_setup(u_, mesh, Wale, bcs, CG1Function, nut_krylov_solver, **NS_namespace):
"""Set up for solving Wale LES model
"""
DG = FunctionSpace(mesh, "DG", 0)
CG1 = FunctionSpace(mesh, "CG", 1)
delta = Function(DG)
delta.vector().zero()
delta.vector().axpy(1.0, assemble(TestFunction(DG)*dx))
Gij = grad(u_)
Sij = sym(Gij)
Skk = tr(Sij)
dim = mesh.geometry().dim()
Sd = sym(Gij*Gij) - 1./3.*Identity(mesh.geometry().dim())*Skk*Skk
nut_form = Wale['Cw']**2 * pow(delta, 2./dim) * pow(inner(Sd, Sd), 1.5) / (Max(pow(inner(Sij, Sij), 2.5) + pow(inner(Sd, Sd), 1.25), 1e-6))
ff = FacetFunction("size_t", mesh, 0)
bcs_nut = derived_bcs(CG1, bcs['u0'], u_)
nut_ = CG1Function(nut_form, mesh, method=nut_krylov_solver, bcs=bcs_nut, name='nut', bounded=True)
return dict(Sij=Sij, Sd=Sd, Skk=Skk, nut_=nut_, delta=delta, bcs_nut=bcs_nut)
def les_setup(u_, mesh, Smagorinsky, CG1Function, nut_krylov_solver, bcs, **NS_namespace):
"""
Set up for solving Smagorinsky-Lilly LES model.
"""
DG = FunctionSpace(mesh, "DG", 0)
CG1 = FunctionSpace(mesh, "CG", 1)
# Compute cell size and put in delta
delta = Function(DG)
delta.vector().zero()
delta.vector().axpy(1.0, assemble(TestFunction(DG) * dx))
delta.vector().apply("insert")
# Set up Smagorinsky form
Sij = sym(grad(u_))
magS = sqrt(2 * inner(Sij, Sij))
nut_form = Smagorinsky["Cs"] ** 2 * delta ** 2 * magS
bcs_nut = derived_bcs(CG1, bcs["u0"], u_)
nut_ = CG1Function(nut_form, mesh, method=nut_krylov_solver, bcs=bcs_nut, bounded=True, name="nut")
return dict(Sij=Sij, nut_=nut_, delta=delta, bcs_nut=bcs_nut)
def les_setup(u_, mesh, Wale, bcs, CG1Function, nut_krylov_solver, **NS_namespace):
"""Set up for solving Wale LES model
"""
DG = FunctionSpace(mesh, "DG", 0)
CG1 = FunctionSpace(mesh, "CG", 1)
# Compute cell size and put in delta
delta = Function(DG)
delta.vector().zero()
delta.vector().axpy(1.0, assemble(TestFunction(DG)*dx))
# Set up Wale form
Gij = grad(u_)
Sij = sym(Gij)
Skk = tr(Sij)
dim = mesh.geometry().dim()
Sd = sym(Gij*Gij) - 1./3.*Identity(mesh.geometry().dim())*Skk*Skk
nut_form = Wale['Cw']**2 * pow(delta, 2./dim) * pow(inner(Sd, Sd), 1.5) / (Max(pow(inner(Sij, Sij), 2.5) + pow(inner(Sd, Sd), 1.25), 1e-6))
ff = FacetFunction("size_t", mesh, 0)
bcs_nut = derived_bcs(CG1, bcs['u0'], u_)
nut_ = CG1Function(nut_form, mesh, method=nut_krylov_solver, bcs=bcs_nut, name='nut', bounded=True)
return dict(Sij=Sij, Sd=Sd, Skk=Skk, nut_=nut_, delta=delta, bcs_nut=bcs_nut)
