underworld.systems.sle module¶

Module Summary¶

classes:¶

`underworld.systems.sle.ConstitutiveMatrixTerm`
`underworld.systems.sle.PreconditionerMatrixTerm`
`underworld.systems.sle.AssembledVector`	Vector object, generally assembled as a result of the FEM framework.
`underworld.systems.sle.AssemblyTerm`
`underworld.systems.sle.AssembledMatrix`	Matrix object, generally assembled as a result of the FEM framework.
`underworld.systems.sle.VectorAssemblyTerm`
`underworld.systems.sle.MatrixAssemblyTerm_NA_i__NB_i__Fn`
`underworld.systems.sle.LumpedMassMatrixVectorTerm`
`underworld.systems.sle.VectorAssemblyTerm_NA_i__Fn_i`
`underworld.systems.sle.GradientStiffnessMatrixTerm`
`underworld.systems.sle.MatrixAssemblyTerm_NA__NB__Fn`
`underworld.systems.sle.EqNumber`	The SolutionVector manages the numerical solution vectors used by Underworld’s equation systems.
`underworld.systems.sle.AdvDiffResidualVectorTerm`
`underworld.systems.sle.SolutionVector`	The SolutionVector manages the numerical solution vectors used by Underworld’s equation systems.
`underworld.systems.sle.MatrixAssemblyTerm`
`underworld.systems.sle.VectorSurfaceAssemblyTerm_NA__Fn__ni`	Build an assembly term for a surface integral.
`underworld.systems.sle.VectorAssemblyTerm_NA__Fn`
`underworld.systems.sle.VectorAssemblyTerm_NA_j__Fn_ij`	Build an assembly term for a spatial gradient, used for the viscoelastic force term.

Module Details¶

classes:¶

class underworld.systems.sle.ConstitutiveMatrixTerm(fn_visc1=None, fn_visc2=None, fn_director=None, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.MatrixAssemblyTerm

class underworld.systems.sle.PreconditionerMatrixTerm(assembledObject=None, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.MatrixAssemblyTerm

class underworld.systems.sle.AssembledVector(meshVariable, eqNum, **kwargs)[source]¶

Bases: underworld.systems.sle._svector.SolutionVector

Vector object, generally assembled as a result of the FEM framework.

See parent class for parameters.

petscVector¶

Underlying PETSc vector object.

Type:	petscVector (swig petsc vector)

class underworld.systems.sle.AssemblyTerm(integrationSwarm, extraInfo=None, **kwargs)[source]¶: Bases: underworld._stgermain.StgCompoundComponent

class underworld.systems.sle.AssembledMatrix(rowVector, colVector, rhs=None, rhs_T=None, assembleOnNodes=False, **kwargs)[source]¶

Bases: underworld._stgermain.StgCompoundComponent

Matrix object, generally assembled as a result of the FEM framework.

Parameters:	meshVariableRow (underworld.mesh.MeshVariable) – MeshVariable object for matrix row. meshVariableCol (underworld.mesh.MeshVariable) – MeshVariable object for matrix column.

class underworld.systems.sle.VectorAssemblyTerm(assembledObject, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.AssemblyTerm

class underworld.systems.sle.MatrixAssemblyTerm_NA_i__NB_i__Fn(fn, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.MatrixAssemblyTerm

class underworld.systems.sle.LumpedMassMatrixVectorTerm(assembledObject, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.VectorAssemblyTerm

class underworld.systems.sle.VectorAssemblyTerm_NA_i__Fn_i(fn, mesh=None, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.VectorAssemblyTerm

class underworld.systems.sle.GradientStiffnessMatrixTerm(assembledObject=None, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.MatrixAssemblyTerm

class underworld.systems.sle.MatrixAssemblyTerm_NA__NB__Fn(fn, mesh, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.MatrixAssemblyTerm

class underworld.systems.sle.EqNumber(meshVariable, removeBCs=True, **kwargs)[source]¶

Bases: underworld._stgermain.StgClass

The SolutionVector manages the numerical solution vectors used by Underworld’s equation systems. Interface between meshVariables and systems.

Parameters:	meshVariable (uw.mesh.MeshVariable) – MeshVariable object for which this equation numbering corresponds.

Example

>>> linearMesh = uw.mesh.FeMesh_Cartesian( elementType='Q1/dQ0', elementRes=(4,4), minCoord=(0.,0.), maxCoord=(1.,1.) )
>>> tField = uw.mesh.MeshVariable( linearMesh, 1 )
>>> teqNum = uw.systems.sle.EqNumber( tField )

class underworld.systems.sle.AdvDiffResidualVectorTerm(velocityField, diffusivity, sourceTerm, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.VectorAssemblyTerm

class underworld.systems.sle.SolutionVector(meshVariable, eqNumber, **kwargs)[source]¶

Bases: underworld._stgermain.StgCompoundComponent

The SolutionVector manages the numerical solution vectors used by Underworld’s equation systems. Interface between meshVariables and systems.

Parameters:	meshVariable (underworld.mesh.MeshVariable) – MeshVariable object for which this SLE vector corresponds. eqNumber (underworld.systems.sle.EqNumber) – Equation numbering object corresponding to this vector.

Example

>>> linearMesh = uw.mesh.FeMesh_Cartesian( elementType='Q1/dQ0', elementRes=(4,4), minCoord=(0.,0.), maxCoord=(1.,1.) )
>>> tField = uw.mesh.MeshVariable( linearMesh, 1 )
>>> eqNum = uw.systems.sle.EqNumber( tField )
>>> sVector = uw.systems.sle.SolutionVector(tField, eqNum )

class underworld.systems.sle.MatrixAssemblyTerm(assembledObject=None, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.AssemblyTerm

class underworld.systems.sle.VectorSurfaceAssemblyTerm_NA__Fn__ni(nbc, integrationSwarm=None, surfaceGaussPoints=2, **kwargs)[source]¶

Bases: underworld.systems.sle._assemblyterm.VectorAssemblyTerm

Build an assembly term for a surface integral.

Parameters:

nbc (underworld.conditions.NeumannCondition) – See uw.conditions.NeumannCondition for details
integrationSwarm (underworld.swarm.GaussBorderIntegrationSwarm) – Optional integration swarm to be used for numerical integration.
surfaceGaussPoints (int) – The number of quadrature points per element face to use in surface integration. Will be used to create a GaussBorderIntegrationSwarm in the case the ‘swarm’ input is ‘None’.

class underworld.systems.sle.VectorAssemblyTerm_NA__Fn(fn, mesh=None, **kwargs)[source]¶: Bases: underworld.systems.sle._assemblyterm.VectorAssemblyTerm

class underworld.systems.sle.VectorAssemblyTerm_NA_j__Fn_ij(fn, mesh=None, **kwargs)[source]¶

Bases: underworld.systems.sle._assemblyterm.VectorAssemblyTerm

Build an assembly term for a spatial gradient, used for the viscoelastic force term.

Parameters:	fn (underworld.function.Function) – Function is a vector of size 3 (dim=2) or 6 (dim=3) representing a symetric tensor mesh (uw.mesh.FeMesh_Cartesian) –