fv_conv_diff_explicit_space.m File Reference

fv_conv_diff_explicit_space(U,NU_ind,grid,model) More...

Go to the source code of this file.

Functions
function [ INC , fluxes ] =	fv_conv_diff_explicit_space (U, NU_ind,gridbase grid, model)
	fv_conv_diff_explicit_space(U,NU_ind,grid,model) More...

Detailed Description

fv_conv_diff_explicit_space(U,NU_ind,grid,model)

Definition in file fv_conv_diff_explicit_space.m.

Function Documentation

function [ INC , fluxes ] = fv_conv_diff_explicit_space	(		U,
			NU_ind,
		gridbase	grid,
			model
	)

fv_conv_diff_explicit_space(U,NU_ind,grid,model)

function applying an FV-space-discretization operator starting from old values U corresponding to the geometry given in grid producing a new vector of elementwise scalars NU but only on for the subelements with numbers given in NU_ind. If NU_ind is empty, all new values NU are determined, i.e. length(NU) = length(U) = grid.nelements

By this, the operator evaluation can be performed in a localized way, i.e. used for empirical interpolation in rb_nonlin_evol_simulation

usual timestepping can be performed afterwards by (NU = Id - deltat * INC).

Parameters

U	U
NU_ind	NU ind
grid	an object
model	model

Return values

INC	INC
fluxes	fluxes

Required fields of model:

• verbose —  a verbosity level
• filecache_velocity_matrixfile_extract —  filecache velocity matrixfile extract
• debug —  flag indicating wether debug output shall be turned on

Required fields of grid:

• nelements —  number of elements
• NBI —  NBI
• nneigh —  number of neighbours of each element
• ECX —  ECX(i,j) = \(x\)-coordinate of midpoint of edge from el i to NB j
• ECY —  ECY(i,j) = \(y\)-coordinate of midpoint of edge from el i to NB j
• NX —  NX(i,j) = \(x\)-coordinate of unit outer normal of edge from el i to NB j
• NY —  NY(i,j) = \(y\)-coordinate of unit outer normal of edge from el i to NB j
• EL —  EL
• A —  vector of element areas
• CX —  vector of centroid \(x\)-values
• CY —  vector of centroid \(y\)-values
• Ainv —  vector of inverted element areas

Definition at line 17 of file fv_conv_diff_explicit_space.m.