The Finite Volume-Complete Flux Scheme for Advection-Diffusion-Reaction Equations

We present a new finite volume scheme for the advection-diffusion-reaction equation. The scheme is second order accurate in the grid size, both for dominant diffusion and dominant advection, and has only a three-point coupling in each spatial direction. Our scheme is based on a new integral represen...

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Veröffentlicht in:	Journal of scientific computing 2011, Vol.46 (1), p.47-70
Hauptverfasser:	ten Thije Boonkkamp, J. H. M., Anthonissen, M. J. H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Advection Algorithms Boundary value problems Computational Mathematics and Numerical Analysis Derivatives Diffusion Finite volume method Flux Integrals Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical models Mathematics Mathematics and Statistics Quadratures Reaction-diffusion equations Representations Theoretical Time dependence
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