- 10-5 Robert Struijs
- Flux Vector Distribution
(732K, pdf )
Jan 7, 10
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Abstract. We present a space discretization for advection equations on
unstructured and structured grids. In this discretization, the flux is
calculated on edges, and then distributed over the nodes of the grid.
The distribution is based on advection speeds which are edge-based or
cell-based, corresponding to flux vector splitting or to flux
difference splitting. Enlarging the distribution stencil leads to
upwind and central directional higher order schemes. The
discretization method includes and extends residual distribution methods.
In this paper, the distribution is based on the N scheme since the aim
is to reduce the truncation error for certain directions, but the
method allows for more general distributions with improved
accuracy. For systems of equations, the flux vector is decomposed in
scalar parts which are distributed separately. Discretizations using
limiters are locally inconsistent.