Complete flux scheme for conservation laws containing a linear source

J.H.M. ten Thije Boonkkamp, B.V. Rathish Kumar, S. Kumar, M. Pargaei

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We present an extension of the complete flux scheme for conservation laws containing a linear source. In our new scheme, we split off the linear part of the source and incorporate this term in the homogeneous flux, the remaining nonlinear part is included in the inhomogeneous flux. This approach gives rise to modified homogeneous and inhomogeneous fluxes, which reduce to the classical fluxes for vanishing linear source. On the other hand, if the linear source is large, the solution of the underlying boundary value problem is oscillatory, resulting in completely different numerical fluxes. We demonstrate the performance of the homogeneous flux approximation.
Originele taal-2Engels
TitelNumerical Mathematics and Advanced Applications - ENUMATH 2015
RedacteurenB. Karasozen, M. Manguoglu, M. Tezer-Sezgin, S. Goktepe, O. Ugur
UitgeverijSpringer
Pagina's23-31
Aantal pagina's8
ISBN van elektronische versie978-3-319-39929-4
ISBN van geprinte versie978-3-319-39927-0
DOI's
StatusGepubliceerd - 2016
Evenement2015 European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015) - Middle East Technical University, Ankara, Turkije
Duur: 14 sep 201518 sep 2015

Publicatie series

NaamLecture Notes in Computational Science and Engineering (LNCSE)
UitgeverijSpringer
Volume112

Congres

Congres2015 European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015)
Verkorte titelENUMATH 2015
LandTurkije
StadAnkara
Periode14/09/1518/09/15

Citeer dit

ten Thije Boonkkamp, J. H. M., Rathish Kumar, B. V., Kumar, S., & Pargaei, M. (2016). Complete flux scheme for conservation laws containing a linear source. In B. Karasozen, M. Manguoglu, M. Tezer-Sezgin, S. Goktepe, & O. Ugur (editors), Numerical Mathematics and Advanced Applications - ENUMATH 2015 (blz. 23-31). (Lecture Notes in Computational Science and Engineering (LNCSE); Vol. 112). Springer. https://doi.org/10.1007/978-3-319-39929-4_3