A compact high order finite volume scheme for advection-diffusion-reaction equations

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

3 Citaties (Scopus)

Uittreksel

We present a new integral representation for the flux of the advection-diffusion-reaction equation, which is based on the solution of a local boundary value problem for the entire equation, including the source term. The flux therefore consists of two parts, corresponding to the homogeneous and particular solution of the boundary value problem. Applying Gauss-Legendre quadrature rules to the integral representation gives the high order finite volume complete flux scheme, which is fourth order accurate for both diffusion dominated and advection dominated flow.
Originele taal-2Engels
TitelNumerical Analysis and Applied Mathematics (Proceedings ICNAAM 2009, Rethymno, Crete, Greece, September 18-22, 2009)
RedacteurenT.E. Simos, G. Psihoyios, C. Tsitouras
Plaats van productieMelville NY
UitgeverijAmerican Institute of Physics
Pagina's410-414
ISBN van geprinte versie978-0-7354-0705-3
DOI's
StatusGepubliceerd - 2009

Publicatie series

NaamAIP Conference Proceedings
Volume1168
ISSN van geprinte versie0094-243X

Vingerafdruk

reaction-diffusion equations
advection
boundary value problems
quadratures

Citeer dit

Anthonissen, M. J. H., & Thije Boonkkamp, ten, J. H. M. (2009). A compact high order finite volume scheme for advection-diffusion-reaction equations. In T. E. Simos, G. Psihoyios, & C. Tsitouras (editors), Numerical Analysis and Applied Mathematics (Proceedings ICNAAM 2009, Rethymno, Crete, Greece, September 18-22, 2009) (blz. 410-414). (AIP Conference Proceedings; Vol. 1168). Melville NY: American Institute of Physics. https://doi.org/10.1063/1.3241484
Anthonissen, M.J.H. ; Thije Boonkkamp, ten, J.H.M. / A compact high order finite volume scheme for advection-diffusion-reaction equations. Numerical Analysis and Applied Mathematics (Proceedings ICNAAM 2009, Rethymno, Crete, Greece, September 18-22, 2009). redacteur / T.E. Simos ; G. Psihoyios ; C. Tsitouras. Melville NY : American Institute of Physics, 2009. blz. 410-414 (AIP Conference Proceedings).
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abstract = "We present a new integral representation for the flux of the advection-diffusion-reaction equation, which is based on the solution of a local boundary value problem for the entire equation, including the source term. The flux therefore consists of two parts, corresponding to the homogeneous and particular solution of the boundary value problem. Applying Gauss-Legendre quadrature rules to the integral representation gives the high order finite volume complete flux scheme, which is fourth order accurate for both diffusion dominated and advection dominated flow.",
author = "M.J.H. Anthonissen and {Thije Boonkkamp, ten}, J.H.M.",
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Anthonissen, MJH & Thije Boonkkamp, ten, JHM 2009, A compact high order finite volume scheme for advection-diffusion-reaction equations. in TE Simos, G Psihoyios & C Tsitouras (redactie), Numerical Analysis and Applied Mathematics (Proceedings ICNAAM 2009, Rethymno, Crete, Greece, September 18-22, 2009). AIP Conference Proceedings, vol. 1168, American Institute of Physics, Melville NY, blz. 410-414. https://doi.org/10.1063/1.3241484

A compact high order finite volume scheme for advection-diffusion-reaction equations. / Anthonissen, M.J.H.; Thije Boonkkamp, ten, J.H.M.

Numerical Analysis and Applied Mathematics (Proceedings ICNAAM 2009, Rethymno, Crete, Greece, September 18-22, 2009). redactie / T.E. Simos; G. Psihoyios; C. Tsitouras. Melville NY : American Institute of Physics, 2009. blz. 410-414 (AIP Conference Proceedings; Vol. 1168).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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N2 - We present a new integral representation for the flux of the advection-diffusion-reaction equation, which is based on the solution of a local boundary value problem for the entire equation, including the source term. The flux therefore consists of two parts, corresponding to the homogeneous and particular solution of the boundary value problem. Applying Gauss-Legendre quadrature rules to the integral representation gives the high order finite volume complete flux scheme, which is fourth order accurate for both diffusion dominated and advection dominated flow.

AB - We present a new integral representation for the flux of the advection-diffusion-reaction equation, which is based on the solution of a local boundary value problem for the entire equation, including the source term. The flux therefore consists of two parts, corresponding to the homogeneous and particular solution of the boundary value problem. Applying Gauss-Legendre quadrature rules to the integral representation gives the high order finite volume complete flux scheme, which is fourth order accurate for both diffusion dominated and advection dominated flow.

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BT - Numerical Analysis and Applied Mathematics (Proceedings ICNAAM 2009, Rethymno, Crete, Greece, September 18-22, 2009)

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Anthonissen MJH, Thije Boonkkamp, ten JHM. A compact high order finite volume scheme for advection-diffusion-reaction equations. In Simos TE, Psihoyios G, Tsitouras C, redacteurs, Numerical Analysis and Applied Mathematics (Proceedings ICNAAM 2009, Rethymno, Crete, Greece, September 18-22, 2009). Melville NY: American Institute of Physics. 2009. blz. 410-414. (AIP Conference Proceedings). https://doi.org/10.1063/1.3241484