Harmonic complete flux schemes for conservation laws with discontinuous coefficients

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

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Uittreksel

In this paper we discuss several complete flux schemes for advection-diffusion-reaction problems. We consider both scalar equations as well as systems of equations. For the flux approximations in the latter case, we take into account the coupling between the constituent equations. We study conservation laws with discontinuous diffusion matrix/coefficient and show that the (matrix) harmonic average should be employed in the expressions for the numerical fluxes. The vectorial harmonic complete flux schemes are validated for a test problem.
Originele taal-2Engels
TitelNumerical Mathematics and Advanced Applications 2013 (Proceedings ENUMATH'13, Lausanne, Switzerland, August 26-30, 2013)
RedacteurenA. Abdulle, S. Deparis, D. Kressner, F. Nobile, M. Picasso
Plaats van productieCham
UitgeverijSpringer
Pagina's95-103
ISBN van geprinte versie978-3-319-10704-2
DOI's
StatusGepubliceerd - 2015
Evenementconference; ENUMATH'13 -
Duur: 1 jan 2015 → …

Publicatie series

NaamLecture Notes in Computational Science and Engineering
Volume103
ISSN van geprinte versie1439-7358

Congres

Congresconference; ENUMATH'13
Periode1/01/15 → …
AnderENUMATH'13

Vingerafdruk

conservation laws
harmonics
coefficients
matrices
advection
scalars
approximation

Citeer dit

Thije Boonkkamp, ten, J. H. M., Liu, L., Dijk, van, J., & Peerenboom, K. S. C. (2015). Harmonic complete flux schemes for conservation laws with discontinuous coefficients. In A. Abdulle, S. Deparis, D. Kressner, F. Nobile, & M. Picasso (editors), Numerical Mathematics and Advanced Applications 2013 (Proceedings ENUMATH'13, Lausanne, Switzerland, August 26-30, 2013) (blz. 95-103). (Lecture Notes in Computational Science and Engineering; Vol. 103). Cham: Springer. https://doi.org/10.1007/978-3-319-10705-9_9
Thije Boonkkamp, ten, J.H.M. ; Liu, L. ; Dijk, van, J. ; Peerenboom, K.S.C. / Harmonic complete flux schemes for conservation laws with discontinuous coefficients. Numerical Mathematics and Advanced Applications 2013 (Proceedings ENUMATH'13, Lausanne, Switzerland, August 26-30, 2013). redacteur / A. Abdulle ; S. Deparis ; D. Kressner ; F. Nobile ; M. Picasso. Cham : Springer, 2015. blz. 95-103 (Lecture Notes in Computational Science and Engineering).
@inproceedings{b8c346ab1b6148cc8538d995084d9257,
title = "Harmonic complete flux schemes for conservation laws with discontinuous coefficients",
abstract = "In this paper we discuss several complete flux schemes for advection-diffusion-reaction problems. We consider both scalar equations as well as systems of equations. For the flux approximations in the latter case, we take into account the coupling between the constituent equations. We study conservation laws with discontinuous diffusion matrix/coefficient and show that the (matrix) harmonic average should be employed in the expressions for the numerical fluxes. The vectorial harmonic complete flux schemes are validated for a test problem.",
author = "{Thije Boonkkamp, ten}, J.H.M. and L. Liu and {Dijk, van}, J. and K.S.C. Peerenboom",
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pages = "95--103",
editor = "A. Abdulle and S. Deparis and D. Kressner and F. Nobile and M. Picasso",
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Thije Boonkkamp, ten, JHM, Liu, L, Dijk, van, J & Peerenboom, KSC 2015, Harmonic complete flux schemes for conservation laws with discontinuous coefficients. in A Abdulle, S Deparis, D Kressner, F Nobile & M Picasso (redactie), Numerical Mathematics and Advanced Applications 2013 (Proceedings ENUMATH'13, Lausanne, Switzerland, August 26-30, 2013). Lecture Notes in Computational Science and Engineering, vol. 103, Springer, Cham, blz. 95-103, conference; ENUMATH'13, 1/01/15. https://doi.org/10.1007/978-3-319-10705-9_9

Harmonic complete flux schemes for conservation laws with discontinuous coefficients. / Thije Boonkkamp, ten, J.H.M.; Liu, L.; Dijk, van, J.; Peerenboom, K.S.C.

Numerical Mathematics and Advanced Applications 2013 (Proceedings ENUMATH'13, Lausanne, Switzerland, August 26-30, 2013). redactie / A. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso. Cham : Springer, 2015. blz. 95-103 (Lecture Notes in Computational Science and Engineering; Vol. 103).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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N2 - In this paper we discuss several complete flux schemes for advection-diffusion-reaction problems. We consider both scalar equations as well as systems of equations. For the flux approximations in the latter case, we take into account the coupling between the constituent equations. We study conservation laws with discontinuous diffusion matrix/coefficient and show that the (matrix) harmonic average should be employed in the expressions for the numerical fluxes. The vectorial harmonic complete flux schemes are validated for a test problem.

AB - In this paper we discuss several complete flux schemes for advection-diffusion-reaction problems. We consider both scalar equations as well as systems of equations. For the flux approximations in the latter case, we take into account the coupling between the constituent equations. We study conservation laws with discontinuous diffusion matrix/coefficient and show that the (matrix) harmonic average should be employed in the expressions for the numerical fluxes. The vectorial harmonic complete flux schemes are validated for a test problem.

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A2 - Picasso, M.

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Thije Boonkkamp, ten JHM, Liu L, Dijk, van J, Peerenboom KSC. Harmonic complete flux schemes for conservation laws with discontinuous coefficients. In Abdulle A, Deparis S, Kressner D, Nobile F, Picasso M, redacteurs, Numerical Mathematics and Advanced Applications 2013 (Proceedings ENUMATH'13, Lausanne, Switzerland, August 26-30, 2013). Cham: Springer. 2015. blz. 95-103. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-319-10705-9_9