petsc-3.7.7 2017-09-25

PetscDSSetBdResidual

Get the pointwise boundary residual function for a given test field

Synopsis

#include "petscds.h" 
PetscErrorCode PetscDSSetBdResidual(PetscDS prob, PetscInt f,
                                    void (*f0)(PetscInt dim, PetscInt Nf, PetscInt NfAux,
                                               const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
                                               const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
                                               PetscReal t, const PetscReal x[], const PetscReal n[], PetscScalar f0[]),
                                    void (*f1)(PetscInt dim, PetscInt Nf, PetscInt NfAux,
                                               const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
                                               const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
                                               PetscReal t, const PetscReal x[], const PetscReal n[], PetscScalar f1[]))

Not collective

Input Parameters

	prob	- The PetscDS
	f	- The test field number
	f0	- boundary integrand for the test function term
	f1	- boundary integrand for the test function gradient term

Note: We are using a first order FEM model for the weak form

\int_\Gamma \phi {\vec f}_0(u, u_t, \nabla u, x, t) \cdot \hat n + \nabla\phi \cdot {\overleftrightarrow f}_1(u, u_t, \nabla u, x, t) \cdot \hat n

The calling sequence for the callbacks f0 and f1 is given by

f0(PetscInt dim, PetscInt Nf, PetscInt NfAux,

   const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],

   const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],

   PetscReal t, const PetscReal x[], const PetscReal n[], PetscScalar f0[])

	dim	- the spatial dimension
	Nf	- the number of fields
	uOff	- the offset into u[] and u_t[] for each field
	uOff_x	- the offset into u_x[] for each field
	u	- each field evaluated at the current point
	u_t	- the time derivative of each field evaluated at the current point
	u_x	- the gradient of each field evaluated at the current point
	aOff	- the offset into a[] and a_t[] for each auxiliary field
	aOff_x	- the offset into a_x[] for each auxiliary field
	a	- each auxiliary field evaluated at the current point
	a_t	- the time derivative of each auxiliary field evaluated at the current point
	a_x	- the gradient of auxiliary each field evaluated at the current point
	t	- current time
	x	- coordinates of the current point
	n	- unit normal at the current point
	f0	- output values at the current point

Examples