The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems

J.H.M. Thije Boonkkamp, ten, J. Dijk, van, L. Liu, K.S.C. Peerenboom

Onderzoeksoutput: Boek/rapportRapportAcademic

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Uittreksel

We present the extension of the complete flux scheme to advection-diffusion-reaction systems. The flux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical flux vector consists of a homogeneous and an inhomogeneous component, corresponding to the homogeneous and the particular solution of the boundary value problem, respectively. The complete flux scheme is validated for a test problem and shows uniform second order convergence behaviour.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's14
StatusGepubliceerd - 2010

Publicatie series

NaamCASA-report
Volume1058
ISSN van geprinte versie0926-4507

Vingerafdruk

advection
boundary value problems
approximation

Citeer dit

Thije Boonkkamp, ten, J. H. M., Dijk, van, J., Liu, L., & Peerenboom, K. S. C. (2010). The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems. (CASA-report; Vol. 1058). Eindhoven: Technische Universiteit Eindhoven.
Thije Boonkkamp, ten, J.H.M. ; Dijk, van, J. ; Liu, L. ; Peerenboom, K.S.C. / The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems. Eindhoven : Technische Universiteit Eindhoven, 2010. 14 blz. (CASA-report).
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abstract = "We present the extension of the complete flux scheme to advection-diffusion-reaction systems. The flux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical flux vector consists of a homogeneous and an inhomogeneous component, corresponding to the homogeneous and the particular solution of the boundary value problem, respectively. The complete flux scheme is validated for a test problem and shows uniform second order convergence behaviour.",
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Thije Boonkkamp, ten, JHM, Dijk, van, J, Liu, L & Peerenboom, KSC 2010, The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems. CASA-report, vol. 1058, Technische Universiteit Eindhoven, Eindhoven.

The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems. / Thije Boonkkamp, ten, J.H.M.; Dijk, van, J.; Liu, L.; Peerenboom, K.S.C.

Eindhoven : Technische Universiteit Eindhoven, 2010. 14 blz. (CASA-report; Vol. 1058).

Onderzoeksoutput: Boek/rapportRapportAcademic

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T1 - The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems

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

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AU - Peerenboom, K.S.C.

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N2 - We present the extension of the complete flux scheme to advection-diffusion-reaction systems. The flux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical flux vector consists of a homogeneous and an inhomogeneous component, corresponding to the homogeneous and the particular solution of the boundary value problem, respectively. The complete flux scheme is validated for a test problem and shows uniform second order convergence behaviour.

AB - We present the extension of the complete flux scheme to advection-diffusion-reaction systems. The flux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical flux vector consists of a homogeneous and an inhomogeneous component, corresponding to the homogeneous and the particular solution of the boundary value problem, respectively. The complete flux scheme is validated for a test problem and shows uniform second order convergence behaviour.

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Thije Boonkkamp, ten JHM, Dijk, van J, Liu L, Peerenboom KSC. The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems. Eindhoven: Technische Universiteit Eindhoven, 2010. 14 blz. (CASA-report).