fv_conv_explicit_space.m File Reference

fv_conv_explicit_space(U,NU_ind,grid,params) 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 More...

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Functions
function INC =	fv_conv_explicit_space (U, NU_ind,gridbase grid, params)
	fv_conv_explicit_space(U,NU_ind,grid,params) 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 More...

Detailed Description

fv_conv_explicit_space(U,NU_ind,grid,params) 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

Definition in file fv_conv_explicit_space.m.

Function Documentation

function INC = fv_conv_explicit_space	(		U,
			NU_ind,
		gridbase	grid,
			params
	)

fv_conv_explicit_space(U,NU_ind,grid,params) 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
params	params

Return values

INC

INC

Required fields of params:

• verbose —  a verbosity level
• filecache_velocity_matrixfile_extract —  filecache velocity matrixfile extract

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
• Ainv —  vector of inverted element areas

Definition at line 17 of file fv_conv_explicit_space.m.