The complete flux scheme for spherically symmetric conservation laws

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Uittreksel

We apply the finite volume method to a spherically symmetric conservation law of advection-diffusion-reaction type. For the numerical flux we use the so-called complete flux scheme. In this scheme the flux is computed from a local boundary value problem for the complete equation, including the source term. As a result, the numerical flux is the superposition of a homogeneous flux and an inhomogeneous flux. The resulting scheme is second order accurate, uniformly in the Peclet numbers.
Originele taal-2Engels
TitelComputational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008)
RedacteurenM. Bubak, G.D. Albada, van, J. Dongarra, P.M.A. Sloot
Plaats van productieBerlin
UitgeverijSpringer
Pagina's651-660
Volume1
ISBN van geprinte versie978-3-540-69383-3
DOI's
StatusGepubliceerd - 2008

Publicatie series

NaamLecture Notes in Computer Science
Volume5101
ISSN van geprinte versie0302-9743

Vingerafdruk

conservation laws
Peclet number
finite volume method
advection
boundary value problems

Citeer dit

Thije Boonkkamp, ten, J. H. M., & Anthonissen, M. J. H. (2008). The complete flux scheme for spherically symmetric conservation laws. In M. Bubak, G. D. Albada, van, J. Dongarra, & P. M. A. Sloot (editors), Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008) (Vol. 1, blz. 651-660). (Lecture Notes in Computer Science; Vol. 5101). Berlin: Springer. https://doi.org/10.1007/978-3-540-69384-0_70
Thije Boonkkamp, ten, J.H.M. ; Anthonissen, M.J.H. / The complete flux scheme for spherically symmetric conservation laws. Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008). redacteur / M. Bubak ; G.D. Albada, van ; J. Dongarra ; P.M.A. Sloot. Vol. 1 Berlin : Springer, 2008. blz. 651-660 (Lecture Notes in Computer Science).
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title = "The complete flux scheme for spherically symmetric conservation laws",
abstract = "We apply the finite volume method to a spherically symmetric conservation law of advection-diffusion-reaction type. For the numerical flux we use the so-called complete flux scheme. In this scheme the flux is computed from a local boundary value problem for the complete equation, including the source term. As a result, the numerical flux is the superposition of a homogeneous flux and an inhomogeneous flux. The resulting scheme is second order accurate, uniformly in the Peclet numbers.",
author = "{Thije Boonkkamp, ten}, J.H.M. and M.J.H. Anthonissen",
year = "2008",
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Thije Boonkkamp, ten, JHM & Anthonissen, MJH 2008, The complete flux scheme for spherically symmetric conservation laws. in M Bubak, GD Albada, van, J Dongarra & PMA Sloot (redactie), Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008). vol. 1, Lecture Notes in Computer Science, vol. 5101, Springer, Berlin, blz. 651-660. https://doi.org/10.1007/978-3-540-69384-0_70

The complete flux scheme for spherically symmetric conservation laws. / Thije Boonkkamp, ten, J.H.M.; Anthonissen, M.J.H.

Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008). redactie / M. Bubak; G.D. Albada, van; J. Dongarra; P.M.A. Sloot. Vol. 1 Berlin : Springer, 2008. blz. 651-660 (Lecture Notes in Computer Science; Vol. 5101).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

TY - GEN

T1 - The complete flux scheme for spherically symmetric conservation laws

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

AU - Anthonissen, M.J.H.

PY - 2008

Y1 - 2008

N2 - We apply the finite volume method to a spherically symmetric conservation law of advection-diffusion-reaction type. For the numerical flux we use the so-called complete flux scheme. In this scheme the flux is computed from a local boundary value problem for the complete equation, including the source term. As a result, the numerical flux is the superposition of a homogeneous flux and an inhomogeneous flux. The resulting scheme is second order accurate, uniformly in the Peclet numbers.

AB - We apply the finite volume method to a spherically symmetric conservation law of advection-diffusion-reaction type. For the numerical flux we use the so-called complete flux scheme. In this scheme the flux is computed from a local boundary value problem for the complete equation, including the source term. As a result, the numerical flux is the superposition of a homogeneous flux and an inhomogeneous flux. The resulting scheme is second order accurate, uniformly in the Peclet numbers.

U2 - 10.1007/978-3-540-69384-0_70

DO - 10.1007/978-3-540-69384-0_70

M3 - Conference contribution

SN - 978-3-540-69383-3

VL - 1

T3 - Lecture Notes in Computer Science

SP - 651

EP - 660

BT - Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008)

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Thije Boonkkamp, ten JHM, Anthonissen MJH. The complete flux scheme for spherically symmetric conservation laws. In Bubak M, Albada, van GD, Dongarra J, Sloot PMA, redacteurs, Computational Science – ICCS 2008 (Proceedings 8th International Conference, Kraków, Poland, June 23-25, 2008). Vol. 1. Berlin: Springer. 2008. blz. 651-660. (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-540-69384-0_70