The complete flux scheme for spherically symmetric conservation laws

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Samenvatting

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.
Originele taal-2Engels
TitelComputational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008)
RedacteurenM. Bubak, G.D. Albada, van, J. Dongarra, P.M.A. Sloot
Plaats van productieBerlin
UitgeverijSpringer
Pagina's651-660
Volume1
ISBN van geprinte versie978-3-540-69383-3
DOI's
StatusGepubliceerd - 2008

Publicatie series

NaamLecture Notes in Computer Science
Volume5101
ISSN van geprinte versie0302-9743

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Citeer dit

Thije Boonkkamp, ten, J. H. M., & Anthonissen, M. J. H. (2008). The complete flux scheme for spherically symmetric conservation laws. In M. Bubak, G. D. Albada, van, J. Dongarra, & P. M. A. Sloot (editors), Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008) (Vol. 1, blz. 651-660). (Lecture Notes in Computer Science; Vol. 5101). Berlin: Springer. https://doi.org/10.1007/978-3-540-69384-0_70