Numerical dissipation and dispersion of the homogenenous and complete flux schemes

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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)
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's8
StatusGepubliceerd - 2014

Publicatie series

NaamCASA-report
Volume1404
ISSN van geprinte versie0926-4507

Vingerafdruk

dissipation
advection
method

Citeer dit

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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)",
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Numerical dissipation and dispersion of the homogenenous and complete flux schemes. / Thije Boonkkamp, ten, J.H.M.; Anthonissen, M.J.H.

Eindhoven : Technische Universiteit Eindhoven, 2014. 8 blz. (CASA-report; Vol. 1404).

Onderzoeksoutput: Boek/rapportRapportAcademic

TY - BOOK

T1 - Numerical dissipation and dispersion of the homogenenous and complete flux schemes

AU - Thije Boonkkamp, ten, J.H.M.

AU - Anthonissen, M.J.H.

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N2 - 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)

AB - 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)

M3 - Report

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BT - Numerical dissipation and dispersion of the homogenenous and complete flux schemes

PB - Technische Universiteit Eindhoven

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