A Runge-Kutta discontinuous Galerkin approach to solve reactive flows: The hyperbolic operator

Journal Article · Sun Feb 20 00:00:00 EST 2011 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2010.10.025· OSTI ID:21499765

Billet, G ^[1]; Ryan, J ^[1]

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1. ONERA BP 72 - 29, av. de la Division Leclerc, 92322 Chatillon Cedex (France)

A Runge-Kutta discontinuous Galerkin method to solve the hyperbolic part of reactive Navier-Stokes equations written in conservation form is presented. Complex thermodynamics laws are taken into account. Particular care has been taken to solve the stiff gaseous interfaces correctly with no restrictive hypothesis. 1D and 2D test cases are presented.

• OSTI ID: 21499765
• Journal Information: Journal of Computational Physics, Vol. 230, Issue 4; Other Information: DOI: 10.1016/j.jcp.2010.10.025; PII: S0021-9991(10)00581-4; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
GALERKIN-PETROV METHOD
HYPOTHESIS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NAVIER-STOKES EQUATIONS
ONE-DIMENSIONAL CALCULATIONS
RUNGE-KUTTA METHOD
THERMODYNAMICS
TWO-DIMENSIONAL CALCULATIONS
UNSTEADY FLOW
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
ITERATIVE METHODS
MATHEMATICAL SOLUTIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS