Numerical dissipation and dispersion of the homogeneous and complete flux schemes

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Samenvatting

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.
Originele taal-2Engels
TitelFinite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 2014)
RedacteurenJ. Fuhrmann, M. Ohlberger, C. Rohde
Plaats van productieHeidelberg
UitgeverijSpringer
Pagina's117-125
ISBN van geprinte versie978-3-319-05684-5
DOI's
StatusGepubliceerd - 2014

Publicatie series

NaamSpringer Proceedings in Mathematics & Statistics
Volume77
ISSN van geprinte versie2194-1009

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