A nonlinear flux approximation scheme for the viscous burgers equation

N. Kumar; J.H.M. ten Thije Boonkkamp; B. Koren; A. Linke

doi:10.1007/978-3-319-57394-6_48

A nonlinear flux approximation scheme for the viscous burgers equation

N. Kumar, J.H.M. ten Thije Boonkkamp, B. Koren, A. Linke

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

3 Citaten (Scopus)

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We present a nonlinear flux approximation scheme for the spatial discretization of the viscous Burgers equation. We derive the numerical flux function from a local two-point boundary value problem (BVP), which results in a nonlinear equation that depends on the local boundary values and the diffusion constant. The flux scheme is consistent and stable (does not introduce any spurious oscillations), as demonstrated by the numerical results.

Originele taal-2	Engels
Titel	Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems
Subtitel	FVCA 8, Lille, France, June 2017
Redacteuren	C. Cancès , P. Omnes
Plaats van productie	Dordrecht
Uitgeverij	Springer
Pagina's	457-465
Aantal pagina's	9
ISBN van elektronische versie	978-3-319-57394-6
ISBN van geprinte versie	978-3-319-57393-9
DOI's	https://doi.org/10.1007/978-3-319-57394-6_48
Status	Gepubliceerd - 2017
Evenement	8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017) - Lille, Frankrijk Duur: 12 jun. 2017 → 16 jun. 2017 Congresnummer: 8 https://indico.math.cnrs.fr/event/1299/overview https://indico.math.cnrs.fr/event/1299/overview

Congres

Congres	8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017)
Verkorte titel	FVCA 2017
Land/Regio	Frankrijk
Stad	Lille
Periode	12/06/17 → 16/06/17
Internet adres	https://indico.math.cnrs.fr/event/1299/overview https://indico.math.cnrs.fr/event/1299/overview

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Kumar, N., ten Thije Boonkkamp, J. H. M., Koren, B., & Linke, A. (2017). A nonlinear flux approximation scheme for the viscous burgers equation. In C. Cancès , & P. Omnes (editors), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017 (blz. 457-465). Springer. https://doi.org/10.1007/978-3-319-57394-6_48

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title = "A nonlinear flux approximation scheme for the viscous burgers equation",

abstract = "We present a nonlinear flux approximation scheme for the spatial discretization of the viscous Burgers equation. We derive the numerical flux function from a local two-point boundary value problem (BVP), which results in a nonlinear equation that depends on the local boundary values and the diffusion constant. The flux scheme is consistent and stable (does not introduce any spurious oscillations), as demonstrated by the numerical results.",

keywords = "Nonlinear local BVP, Numerical flux, Viscous burgers equation",

author = "N. Kumar and {ten Thije Boonkkamp}, J.H.M. and B. Koren and A. Linke",

year = "2017",

doi = "10.1007/978-3-319-57394-6_48",

language = "English",

isbn = "978-3-319-57393-9",

pages = "457--465",

editor = "{Canc{\`e}s }, C. and P. Omnes",

booktitle = "Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems",

publisher = "Springer",

address = "Germany",

note = "8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017), FVCA 2017 ; Conference date: 12-06-2017 Through 16-06-2017",

url = "https://indico.math.cnrs.fr/event/1299/overview, https://indico.math.cnrs.fr/event/1299/overview",

}

Kumar, N, ten Thije Boonkkamp, JHM , Koren, B & Linke, A 2017, A nonlinear flux approximation scheme for the viscous burgers equation. in C Cancès & P Omnes (uitgave), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017. Springer, Dordrecht, blz. 457-465, 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_48

A nonlinear flux approximation scheme for the viscous burgers equation. / Kumar, N.; ten Thije Boonkkamp, J.H.M.; Koren, B. et al.
Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017. uitgave / C. Cancès ; P. Omnes. Dordrecht: Springer, 2017. blz. 457-465.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AU - Kumar, N.

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

AU - Koren, B.

AU - Linke, A.

N1 - Conference code: 8

PY - 2017

Y1 - 2017

N2 - We present a nonlinear flux approximation scheme for the spatial discretization of the viscous Burgers equation. We derive the numerical flux function from a local two-point boundary value problem (BVP), which results in a nonlinear equation that depends on the local boundary values and the diffusion constant. The flux scheme is consistent and stable (does not introduce any spurious oscillations), as demonstrated by the numerical results.

AB - We present a nonlinear flux approximation scheme for the spatial discretization of the viscous Burgers equation. We derive the numerical flux function from a local two-point boundary value problem (BVP), which results in a nonlinear equation that depends on the local boundary values and the diffusion constant. The flux scheme is consistent and stable (does not introduce any spurious oscillations), as demonstrated by the numerical results.

KW - Nonlinear local BVP

KW - Numerical flux

KW - Viscous burgers equation

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U2 - 10.1007/978-3-319-57394-6_48

DO - 10.1007/978-3-319-57394-6_48

M3 - Conference contribution

AN - SCOPUS:85020449593

SN - 978-3-319-57393-9

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BT - Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems

A2 - Cancès , C.

A2 - Omnes, P.

PB - Springer

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T2 - 8th International Symposium on Finite Volumes for Complex Applications (FVCA 2017)

Y2 - 12 June 2017 through 16 June 2017

ER -

A nonlinear flux approximation scheme for the viscous burgers equation

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