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Finite Difference Approximation of a Convection Diffusion Equation Near a Boundary

Abstract:

Techniques for solving evolutionary convection diffusion equations are almost universally based on analysis of infinite domain situations. Almost all practical problems involve physical domains with boundaries. For a number of numerical schemes with Dirichlet boundary conditions, the numerical algorithm can be used without alteration near a boundary. The development of higher order methods such as Quickest or second order upwinding (including many schemes with flux limiters) can introduce dif...

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Unspecified
Publication date:
1998-10-01
UUID:
uuid:40971794-63de-4d3c-91a3-256d710900ca
Local pid:
oai:eprints.maths.ox.ac.uk:1301
Deposit date:
2011-06-04

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