7.14.1.16. Projection

Syntax

Eq [{Lumped_|Lagged_|Quasi_Implicit_}]Projection for Associated DoF [{of} SpeciesName | {in} MaterialPhaseName | {ls} {a | b | c}] {on} MeshPart using Interp with {Term_0} … {Term_N}

Scope

Aria Region

Summary

Perform a projection of an expression from integration points to nodal values.

Description

The string Dof refers to a new degree of freedom to be created and solved for via the projection equation. Dof can be chosen to be any expression valid at the integration points, in which case the string used for Dof should be the decorated version of the original expression name. A prefix of PROJECTED_, PROJECTED_VECTOR_, and PROJECTED_TENSOR_ should be used for scalar, vector, and tensor expressions, respectively.

By default, projection equations use a consistent source term resulting in a formal L2 projection; however, projection equations can also use a lumped source term by specifying LUMPED_ before PROJECTION. Projection equations are normally solved by the linear solver; however, they can be lagged and solved at the start of a time step by specifying LAGGED_ or once per nonlinear iteration by specifying QUASI_IMPLICIT_. Using either the LAGGED_ or QUASI_IMPLICIT_ prefixes will not burden the linear solver, but explicit solution necessarily requires that both options use a lumped projection.

Admissible values of Interp are Q_{1}, Q_{2}, Q_{2S}.

The only admissible value of Term_n is DEF.

The Meshpart must be an active element block.

Example

To project the heat conduction on every block using linear elements, one would use the command

Eq Projection For Vector_Heat_Conduction On All_Blocks Using Q1 With Def

Likewise, to project a mesh stress, one could specify

Eq Projection For Projected_Tensor_Mesh_Stress On All_Blocks Using Q1 With Def

Parameter

Value

Default

{of}

{of | species | subindex}

–

SpeciesName

string

–

{in}

{in | material_phase}

–

MaterialPhaseName

string

–

{ls}

{levelset_phase | ls}

–

Associated DoF

string

–

{on}

{@ | at | for | in | on | over}

–

MeshPart

string

–

Interp

string

–

{Term_n}

See Description

–