Compact high order complete flux schemes

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

1 Downloads (Pure)

Uittreksel

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

Vingerafdruk

Higher Order
Fluxes
Advection-diffusion
Advection
Source Terms
Gauss Quadrature
Quadrature Rules
Integral Representation
Boundary value problems
Boundary Value Problem
Entire
Operator
Demonstrate
Model
Standards

Citeer dit

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
ten Thije Boonkkamp, J.H.M. ; Anthonissen, M.J.H. / Compact high order complete flux schemes. 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. redacteur / M.L. Bittencourt ; N. Dumont ; J.S. Hesthaven. Cham : Springer, 2017. blz. 561-570 (Lecture Notes in Computational Science and Engineering).
@inproceedings{f4a4736270954664bd8f3c7f908dafab,
title = "Compact high order complete flux schemes",
abstract = "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.",
author = "{ten Thije Boonkkamp}, J.H.M. and M.J.H. Anthonissen",
year = "2017",
doi = "10.1007/978-3-319-65870-4_40",
language = "English",
isbn = "978-3-319-65870-4",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "561--570",
editor = "M.L. Bittencourt and N. Dumont and J.S. Hesthaven",
booktitle = "Spectral and high order methods for partial differential equations ICOSAHOM 2016",
address = "Germany",

}

ten Thije Boonkkamp, JHM & Anthonissen, MJH 2017, Compact high order complete flux schemes. in ML Bittencourt, N Dumont & JS Hesthaven (redactie), 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. Lecture Notes in Computational Science and Engineering, vol. 119, Springer, Cham, blz. 561-570, 11th International Conference on Spectral and High-Order Methods (ICOSAHOM 2016), Rio de Janeiro, Brazilië, 27/06/16. https://doi.org/10.1007/978-3-319-65870-4_40

Compact high order complete flux schemes. / ten Thije Boonkkamp, J.H.M.; Anthonissen, M.J.H.

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. redactie / M.L. Bittencourt; N. Dumont; J.S. Hesthaven. Cham : Springer, 2017. blz. 561-570 (Lecture Notes in Computational Science and Engineering; Vol. 119).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

TY - GEN

T1 - Compact high order complete flux schemes

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

AU - Anthonissen, M.J.H.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85034271826&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-65870-4_40

DO - 10.1007/978-3-319-65870-4_40

M3 - Conference contribution

AN - SCOPUS:85034271826

SN - 978-3-319-65870-4

T3 - Lecture Notes in Computational Science and Engineering

SP - 561

EP - 570

BT - Spectral and high order methods for partial differential equations ICOSAHOM 2016

A2 - Bittencourt, M.L.

A2 - Dumont, N.

A2 - Hesthaven, J.S.

PB - Springer

CY - Cham

ER -

ten Thije Boonkkamp JHM, Anthonissen MJH. Compact high order complete flux schemes. In Bittencourt ML, Dumont N, Hesthaven JS, redacteurs, 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. Cham: Springer. 2017. blz. 561-570. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-319-65870-4_40