The complete flux scheme in cylindrical coordinates

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Abstract

We consider the complete flux (CF) scheme , a finite volume method (FVM) presented in [3]. CF is based on an integral representation for the fluxes, found by solving a local boundary value problem that includes the source term. It performs well (second order accuracy) for both diffusion and advection dominated problems. In this paper we focus on cylindrically symmetric conservation laws of advection-diffusion-reaction type.
Original languageEnglish
Title of host publicationFinite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, June 2014
EditorsJ. Fuhrmann, M. Ohlberger, C. Rohde
Place of PublicationBerlin
PublisherSpringer
Pages77-85
ISBN (Electronic)978-3-319-05684-5
ISBN (Print)978-3-319-05683-8
DOIs
Publication statusPublished - 2014

Publication series

NameSpringer Proceedings in Mathematics & Statistics
Volume77
ISSN (Print)2194-1009

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    Anthonissen, M. J. H., & Thije Boonkkamp, ten, J. H. M. (2014). The complete flux scheme in cylindrical coordinates. In J. Fuhrmann, M. Ohlberger, & C. Rohde (Eds.), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, June 2014 (pp. 77-85). (Springer Proceedings in Mathematics & Statistics; Vol. 77). Springer. https://doi.org/10.1007/978-3-319-05684-5_6