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

Authors:
G. Billet;J. Ryan
Affiliations:
ONERA BP 72 - 29, av. de la Division Leclerc, 92322 Chítillon Cedex, France;ONERA BP 72 - 29, av. de la Division Leclerc, 92322 Chítillon Cedex, France
Venue:
Journal of Computational Physics
Year:
2011

Citing 11
Cited 1

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
How to preserve the mass fractions positivity when computing compressible multi-component flows

Journal of Computational Physics
Parallel, adaptive finite element methods for conservation laws

Proceedings of the third ARO workshop on Adaptive methods for partial differential equations
How to prevent pressure oscillations in multicomponent flow calculations: a quasi conservative approach

Journal of Computational Physics
The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems

Journal of Computational Physics
Computations of compressible multifluids

Journal of Computational Physics
Improvement of convective concentration fluxes in a one step reactive flow solver

Journal of Computational Physics
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes

Journal of Computational Physics
A sequel to AUSM, Part II: AUSM+-up for all speeds

Journal of Computational Physics
Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case

Journal of Computational Physics
Analysis of Discontinuous Galerkin Methods for Multicomponent Reactive Transport Problems

Computers & Mathematics with Applications

A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios

Journal of Computational Physics

Quantified Score

Hi-index	31.45

Visualization

Abstract

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.