Abstract
This contribution’s topic is the resolution by different numerical solvers of a multicomponent, compressive, turbulent flow. The unique associated Riemann Problem’s solution is identified thanks to an entropy characterization. An exact Riemann solver is implemented and called by Godunov scheme. Some simulations are introduced to exhibit a comparison between Godunov scheme, Vfroe-nc and Rusanov scheme.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Buffard T, Gallouët T, Hérard JM (1998). A sequel to a rough Godunov scheme : application to real gases. Ecoles CEA-EDF-INRIA, pp.363–382.
Declercq E, (1999) Comparaison de solveurs numériques pour le traitement de la turbulence bifluide. PhD Thesis of Evry University.
Godlewski E and Raviart P A (1996). Numerical Approximation of Hyperbolic Systems of Conservation Laws. Springer.
Godunov S K (1957) A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Math. Sb. 47 , pp.357–393
Herard JM, Forestier A, Louis X (1994) A Non Stricly Hyperbolic System To Describe Compressible Turbulence. Rapport E.D.F/D.E.R., HE-41/94/11A.
Rusanov V (1961) Calculation of interaction of non-steady schock waves with obstacles. Journal of Computational Mathematics and Physics USSR, Vol 1 PP.267–279.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Declercq, E. (2001). Comparison of Numerical Solvers with Godunov Scheme for Multicomponent Turbulent Flows. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_21
Download citation
DOI: https://doi.org/10.1007/978-1-4615-0663-8_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-5183-2
Online ISBN: 978-1-4615-0663-8
eBook Packages: Springer Book Archive