The complete flux scheme for spherically symmetric conservation laws

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Abstract

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.
Original languageEnglish
Title of host publicationComputational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008)
EditorsM. Bubak, G.D. Albada, van, J. Dongarra, P.M.A. Sloot
Place of PublicationBerlin
PublisherSpringer
Pages651-660
Volume1
ISBN (Print)978-3-540-69383-3
DOIs
Publication statusPublished - 2008

Publication series

NameLecture Notes in Computer Science
Volume5101
ISSN (Print)0302-9743

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    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 (Eds.), Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008) (Vol. 1, pp. 651-660). (Lecture Notes in Computer Science; Vol. 5101). Springer. https://doi.org/10.1007/978-3-540-69384-0_70