Numerical dissipation and dispersion of the homogenenous and complete flux schemes

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Abstract

We analyse numerical dissipation and dispersion of the homogeneous ¿ux (HF) and complete ¿ux (CF) schemes, ¿nite volume methods introduced in [1]. To that purpose we derive the modi¿ed equation of both schemes. We show that the HF scheme suffers from numerical diffusion for dominant advection, which is effectively removed in the CF scheme. The latter scheme, however, is prone to numerical dispersion. We validate both schemes for a model problem. [1] ten Thije Boonkkamp, J., Anthonissen, M.: The ¿nite volume-complete ¿ux scheme for advection-diffusion-reaction equations. Journal of Scienti¿c Computing 46(1), 47–70 (2011)
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages8
Publication statusPublished - 2014

Publication series

NameCASA-report
Volume1404
ISSN (Print)0926-4507

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