Abstract | ||
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We apply the finite volume method to a spherically symmetric conservation law of advection-diffusion-reaction type. For the numerical flux we use the so-called complete flux scheme. In this scheme the flux is computed from a local boundary value problem for the complete equation, including the source term. As a result, the numerical flux is the superposition of a homogeneous flux and an inhomogeneous flux. The resulting scheme is second order accurate, uniformly in the Peclet numbers. |
Year | DOI | Venue |
---|---|---|
2008 | 10.1007/978-3-540-69384-0_70 | ICCS (1) |
Keywords | Field | DocType |
boundary value problem,second order,conservation law,finite volume method,source term,advection diffusion equation,finite volume | Convection–diffusion equation,Boundary value problem,Mathematical optimization,Superposition principle,Mathematical analysis,Homogeneous,Flux,Numerical flux,Finite volume method,Mathematics,Conservation law | Conference |
Volume | ISSN | Citations |
5101 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
J. H. Thije Boonkkamp | 1 | 23 | 7.77 |
M. J. H. Anthonissen | 2 | 10 | 3.12 |