Numerical dissipation and dispersion of the homogeneous and complete flux schemes

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Uittreksel

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

Vingerafdruk

dissipation
finite volume method
advection

Citeer dit

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

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

Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 2014). redactie / J. Fuhrmann; M. Ohlberger; C. Rohde. Heidelberg : Springer, 2014. blz. 117-125 (Springer Proceedings in Mathematics & Statistics; Vol. 77).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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

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

AU - Anthonissen, M.J.H.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

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BT - Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 2014)

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