Nonlinear flux approximation scheme for Burgers equation derived from a local BVP

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

1 Downloads (Pure)

Samenvatting

We present a novel flux approximation scheme for the viscous Burgers equation. The numerical flux is computed from a local two-point boundary value problem for the stationary equation and requires the iterative solution of a nonlinear equation depending on the local boundary values and the viscosity. In the inviscid limit the scheme reduces to the Godunov numerical flux.
Originele taal-2Engels
TitelNumerical Mathematics and Advanced Applications ENUMATH 2017
RedacteurenFlorin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Plaats van productieCham
UitgeverijSpringer
Pagina's1015-1023
Aantal pagina's9
ISBN van elektronische versie978-3-319-96415-7
ISBN van geprinte versie978-3-319-96414-0
DOI's
StatusGepubliceerd - 2019
EvenementEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 - Voss, Noorwegen
Duur: 25 sep 201729 sep 2017

Publicatie series

NaamLecture Notes in Computational Science and Engineering
Volume126
ISSN van geprinte versie1439-7358

Congres

CongresEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017
LandNoorwegen
StadVoss
Periode25/09/1729/09/17

    Vingerafdruk

Citeer dit

ten Thije Boonkkamp, J. H. M., Kumar, N., Koren, B., van der Woude, D. A. M., & Linke, A. (2019). Nonlinear flux approximation scheme for Burgers equation derived from a local BVP. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (editors), Numerical Mathematics and Advanced Applications ENUMATH 2017 (blz. 1015-1023). (Lecture Notes in Computational Science and Engineering; Vol. 126). Cham: Springer. https://doi.org/10.1007/978-3-319-96415-7_96