Numerical dissipation and dispersion of the homogeneous and complete flux schemes

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Abstract

We analyse numerical dissipation and dispersion of the homogeneous flux (HF) and complete flux (CF) schemes, finite volume methods introduced in [4]. To that purpose we derive the modified 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.
Original languageEnglish
Title of host publicationFinite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 2014)
EditorsJ. Fuhrmann, M. Ohlberger, C. Rohde
Place of PublicationHeidelberg
PublisherSpringer
Pages117-125
ISBN (Print)978-3-319-05684-5
DOIs
Publication statusPublished - 2014

Publication series

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

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  • Cite this

    Thije Boonkkamp, ten, J. H. M., & Anthonissen, M. J. H. (2014). Numerical dissipation and dispersion of the homogeneous and complete flux schemes. In J. Fuhrmann, M. Ohlberger, & C. Rohde (Eds.), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 2014) (pp. 117-125). (Springer Proceedings in Mathematics & Statistics; Vol. 77). Springer. https://doi.org/10.1007/978-3-319-05684-5_10