A two-dimensional complete flux scheme in local flow adapted coordinates

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Uittreksel

We present a formulation of the two-dimensional complete flux (CF) scheme in terms of local orthogonal coordinates adapted to the flow, i.e., one coordinate axis is aligned with the local velocity field and the other one is perpendicular to it. This approach gives rise to an advection-diffusion-reaction boundary value problem (BVP) for the flux component in the local flow direction. For the other (diffusive) flux component we use central differences. We will demonstrate the performance of the scheme for several examples.

Originele taal-2Engels
TitelFinite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017
RedacteurenC. Cancès, P. Omnes
UitgeverijSpringer
Pagina's437-445
Aantal pagina's9
ISBN van geprinte versie9783319573939
DOI's
StatusGepubliceerd - 2017
Evenement8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017) - Lille, Frankrijk
Duur: 12 jun 201716 jun 2017
Congresnummer: 8
https://indico.math.cnrs.fr/event/1299/overview
https://indico.math.cnrs.fr/event/1299/overview

Publicatie series

NaamSpringer Proceedings in Mathematics & Statistics
Volume200

Congres

Congres8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017)
Verkorte titelFVCA 2017
LandFrankrijk
StadLille
Periode12/06/1716/06/17
Internet adres

Vingerafdruk

Co-ordinate axis
Advection-diffusion
Local Field
Perpendicular
Velocity Field
Boundary Value Problem
Formulation
Demonstrate

Citeer dit

ten Thije Boonkkamp, J., Anthonissen, M., & Kwant, R. (2017). A two-dimensional complete flux scheme in local flow adapted coordinates. In C. Cancès, & P. Omnes (editors), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017 (blz. 437-445). (Springer Proceedings in Mathematics & Statistics; Vol. 200). Springer. https://doi.org/10.1007/978-3-319-57394-6_46
ten Thije Boonkkamp, J. ; Anthonissen, M. ; Kwant, R. / A two-dimensional complete flux scheme in local flow adapted coordinates. Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017. redacteur / C. Cancès ; P. Omnes. Springer, 2017. blz. 437-445 (Springer Proceedings in Mathematics & Statistics).
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title = "A two-dimensional complete flux scheme in local flow adapted coordinates",
abstract = "We present a formulation of the two-dimensional complete flux (CF) scheme in terms of local orthogonal coordinates adapted to the flow, i.e., one coordinate axis is aligned with the local velocity field and the other one is perpendicular to it. This approach gives rise to an advection-diffusion-reaction boundary value problem (BVP) for the flux component in the local flow direction. For the other (diffusive) flux component we use central differences. We will demonstrate the performance of the scheme for several examples.",
keywords = "Complete flux scheme, Conservation laws, Finite volume method, Local orthogonal coordinates, Numerical flux",
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ten Thije Boonkkamp, J, Anthonissen, M & Kwant, R 2017, A two-dimensional complete flux scheme in local flow adapted coordinates. in C Cancès & P Omnes (redactie), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017. Springer Proceedings in Mathematics & Statistics, vol. 200, Springer, blz. 437-445, 8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017), Lille, Frankrijk, 12/06/17. https://doi.org/10.1007/978-3-319-57394-6_46

A two-dimensional complete flux scheme in local flow adapted coordinates. / ten Thije Boonkkamp, J.; Anthonissen, M.; Kwant, R.

Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017. redactie / C. Cancès; P. Omnes. Springer, 2017. blz. 437-445 (Springer Proceedings in Mathematics & Statistics; Vol. 200).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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AB - We present a formulation of the two-dimensional complete flux (CF) scheme in terms of local orthogonal coordinates adapted to the flow, i.e., one coordinate axis is aligned with the local velocity field and the other one is perpendicular to it. This approach gives rise to an advection-diffusion-reaction boundary value problem (BVP) for the flux component in the local flow direction. For the other (diffusive) flux component we use central differences. We will demonstrate the performance of the scheme for several examples.

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KW - Conservation laws

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ten Thije Boonkkamp J, Anthonissen M, Kwant R. A two-dimensional complete flux scheme in local flow adapted coordinates. In Cancès C, Omnes P, redacteurs, Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017. Springer. 2017. blz. 437-445. (Springer Proceedings in Mathematics & Statistics). https://doi.org/10.1007/978-3-319-57394-6_46