The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems

J.H.M. Thije Boonkkamp, ten, J. Dijk, van, L. Liu, K.S.C. Peerenboom

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Abstract

We present the extension of the complete flux scheme to advection-diffusion-reaction systems. The flux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical flux vector consists of a homogeneous and an inhomogeneous component, corresponding to the homogeneous and the particular solution of the boundary value problem, respectively. The complete flux scheme is validated for a test problem and shows uniform second order convergence behaviour.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages14
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1058
ISSN (Print)0926-4507

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