Upwind residual distribution schemes for chemical non-equilibrium flows

G. Degrez; E. van der Weide

doi:10.2514/6.1999-3366

Upwind residual distribution schemes for chemical non-equilibrium flows

G. Degrez, E. van der Weide

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

10 Citations (Scopus)

16 Downloads (Pure)

Abstract

Upwind residual distribution schemes have been developed for the numerical simulation of inviscid flows of arbitrary mixtures of thermally perfect gases in chemical non-eqüilibrium. First, a multidimensional conservative linearization of the Euler equations for gas mixtures is derived. Then, a transformation to a set of symmetrizing variables is defined, which decouples the flow equations into n_s scalar advection equations and a coupled 3x3 system. Various alternative discretizations of the source terms are presented. Preliminary numerical resuls are presented which illustrate the applicability of the method to non-reacting and reacting flows.

Original language	English
Title of host publication	14th Computational Fluid Dynamics Conference 1999
Subtitle of host publication	1-5 November 1999, Norfolk, VA, U.S.A.: A collection of technical papers
Place of Publication	Reston, VA
Publisher	American Institute of Aeronautics and Astronautics
Pages	978-985
Number of pages	8
ISBN (Print)	9781563472978
DOIs	https://doi.org/10.2514/6.1999-3366
Publication status	Published - 1999
Externally published	Yes
Event	14th Computational Fluid Dynamics Conference, 1999 - Norfolk, United States Duration: 1 Nov 1999 → 5 Nov 1999 Conference number: 14

Conference

Conference	14th Computational Fluid Dynamics Conference, 1999
Country/Territory	United States
City	Norfolk
Period	1/11/99 → 5/11/99

Keywords

n/a OA procedure

Access to Document

10.2514/6.1999-3366

Cite this

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title = "Upwind residual distribution schemes for chemical non-equilibrium flows",

abstract = "Upwind residual distribution schemes have been developed for the numerical simulation of inviscid flows of arbitrary mixtures of thermally perfect gases in chemical non-eq{\"u}ilibrium. First, a multidimensional conservative linearization of the Euler equations for gas mixtures is derived. Then, a transformation to a set of symmetrizing variables is defined, which decouples the flow equations into ns scalar advection equations and a coupled 3x3 system. Various alternative discretizations of the source terms are presented. Preliminary numerical resuls are presented which illustrate the applicability of the method to non-reacting and reacting flows.",

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author = "G. Degrez and \{van der Weide\}, E.",

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pages = "978--985",

booktitle = "14th Computational Fluid Dynamics Conference 1999",

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note = "14th Computational Fluid Dynamics Conference, 1999 ; Conference date: 01-11-1999 Through 05-11-1999",

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Degrez, G & van der Weide, E 1999, Upwind residual distribution schemes for chemical non-equilibrium flows. in 14th Computational Fluid Dynamics Conference 1999: 1-5 November 1999, Norfolk, VA, U.S.A.: A collection of technical papers. American Institute of Aeronautics and Astronautics, Reston, VA, pp. 978-985, 14th Computational Fluid Dynamics Conference, 1999, Norfolk, Virginia, United States, 1/11/99. https://doi.org/10.2514/6.1999-3366

Upwind residual distribution schemes for chemical non-equilibrium flows. / Degrez, G.; van der Weide, E.
14th Computational Fluid Dynamics Conference 1999: 1-5 November 1999, Norfolk, VA, U.S.A.: A collection of technical papers. Reston, VA: American Institute of Aeronautics and Astronautics, 1999. p. 978-985.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - van der Weide, E.

N1 - Conference code: 14

PY - 1999

Y1 - 1999

N2 - Upwind residual distribution schemes have been developed for the numerical simulation of inviscid flows of arbitrary mixtures of thermally perfect gases in chemical non-eqüilibrium. First, a multidimensional conservative linearization of the Euler equations for gas mixtures is derived. Then, a transformation to a set of symmetrizing variables is defined, which decouples the flow equations into ns scalar advection equations and a coupled 3x3 system. Various alternative discretizations of the source terms are presented. Preliminary numerical resuls are presented which illustrate the applicability of the method to non-reacting and reacting flows.

AB - Upwind residual distribution schemes have been developed for the numerical simulation of inviscid flows of arbitrary mixtures of thermally perfect gases in chemical non-eqüilibrium. First, a multidimensional conservative linearization of the Euler equations for gas mixtures is derived. Then, a transformation to a set of symmetrizing variables is defined, which decouples the flow equations into ns scalar advection equations and a coupled 3x3 system. Various alternative discretizations of the source terms are presented. Preliminary numerical resuls are presented which illustrate the applicability of the method to non-reacting and reacting flows.

KW - n/a OA procedure

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U2 - 10.2514/6.1999-3366

DO - 10.2514/6.1999-3366

M3 - Conference contribution

AN - SCOPUS:84983212641

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BT - 14th Computational Fluid Dynamics Conference 1999

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T2 - 14th Computational Fluid Dynamics Conference, 1999

Y2 - 1 November 1999 through 5 November 1999

ER -

Upwind residual distribution schemes for chemical non-equilibrium flows

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