Compact high order complete flux schemes

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In this paper we outline the complete flux scheme for an advection-diffusion-reaction model problem. The scheme is based on the integral representation of the flux, which we derive from a local boundary value problem for the entire equation, including the source term. Consequently, the flux consists of a homogeneous part, corresponding to the advection-diffusion operator, and an inhomogeneous part, taking into account the effect of the source term. We apply (weighted) Gauss quadrature rules to derive the standard complete flux scheme, as well as a compact high order variant. We demonstrate the performance of both schemes.

Originele taal-2Engels
TitelSpectral and high order methods for partial differential equations ICOSAHOM 2016
SubtitelSelected Papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil
RedacteurenM.L. Bittencourt, N. Dumont, J.S. Hesthaven
Plaats van productieCham
UitgeverijSpringer
Pagina's561-570
Aantal pagina's10
ISBN van geprinte versie978-3-319-65870-4
DOI's
StatusGepubliceerd - 2017
Evenement11th International Conference on Spectral and High-Order Methods (ICOSAHOM 2016) - Rio Othon Palace Copacabana, Rio de Janeiro, Brazilië
Duur: 27 jun 20161 jul 2016
Congresnummer: 11

Publicatie series

NaamLecture Notes in Computational Science and Engineering
Volume119
ISSN van geprinte versie1439-7358

Congres

Congres11th International Conference on Spectral and High-Order Methods (ICOSAHOM 2016)
Verkorte titelICOSAHOM2016
LandBrazilië
StadRio de Janeiro
Periode27/06/161/07/16

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ten Thije Boonkkamp, J. H. M., & Anthonissen, M. J. H. (2017). Compact high order complete flux schemes. In M. L. Bittencourt, N. Dumont, & J. S. Hesthaven (editors), Spectral and high order methods for partial differential equations ICOSAHOM 2016: Selected Papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil (blz. 561-570). (Lecture Notes in Computational Science and Engineering; Vol. 119). Cham: Springer. https://doi.org/10.1007/978-3-319-65870-4_40