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)