Abstract
An approximate Riemann solver is presented in this contribution, which enables to compute shock waves in compressible flows using one or two-equation turbulence model.
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References
B.S. Baldwin, T.J. Barth, A one equation turbulence transport model for high Reynolds number wall-bounded flows, NASA TM 102847 (1990).
C. Berthon, F. Coquel, Travelling wave solutions of a convective-diffusive system with first and second order terms in nonconservative form, Seventh Int. Conf. on hyperbolic problems, ETH Zürich, February 9–13, 1998.
T. Bufard, T. Gallouët, J.M. Hérard, Schéma VFRoe en variables caractéristiques: principe de base et application aux gaz réels, Internal Report EDF-DER HE-41/96/041/A, in french, (1996).
T. Buffard, T. Gallouët, J.M. Hërard, A sequel to a rough Godunov scheme: applicationto real gases, Internal Report EDF-DER HE-41/97/053/A, (1997).
B. Cardot, B. Coron, B. Mohammadi, O. Pironneau, Simulation of turbulence with thek-e model, Comput. Methods Appl. Mech. Eng., 87 (1991), 103–116.
J.F. Colombeau, Multiplication of distributions, Springer-Verlag, (1992).
L. Combe, Simulation numérique d’écoulements gaz-particules sur maillage non structuré, PhD Thesis, I.N.P. Toulouse, (1997).
G. Dal Maso, P.G. Le Floch, F. Murat, Definition and weak stability of non conservative products, J. Math. Pures Appl. 74 (1995), 483–548.
F. De Vuyst, Schémas non conservatifs et schémas cinétiques pour la simulation numérique d’écoulements hypersoniques non visqueux en déséquilibre thermochimique, PhD Thesis, univ. P. et M. Curie, (1994).
A. Favre, Equations des gaz turbulents compressibles, Jour. Mec. 4 (1965), 391–421.
A. Forestier, J.M. Hérard, X. Louis, A Godunov type solver to compute turbulent compressible flows, C. R. Ac. Sc. Paris, Série I 324 (1997), 919–926.
T. Gallouët, J.M. Masella, A rough Godunov scheme, C. R. Ac. Sc. Paris, Série I 323 (1996), 77–84.
S.K. Godunov, A difference method for numerical calculation of discontinuous equations of hydrodynamics, Math. Sb. 47 (1959), 217–300.
P.G. Le Floch, Entropy weak solutions to non linear hyperbolic systems in non conservative form, Comm. in Part. Diff. Eq. 13(6) (1988), 669–727.
P.G. Le Floch, T.P. Liu, Existence theory for non linear hyperbolic systems in non conservative form, CMAP report 254 (1992).
X. Louis, PhD Thesis, univ. P. et M. Curie (1995).
J.M. Masella, Quelques méthodes numériques pour les écoulements diphasiques bifluide en conduites pétroliéres, PhD Thesis, univ. P. et M. Curie (1997).
B. Mohammadi, O. Pironneau, Analysis of the k — ε turbulence model, Masson-Wiley (1994).
L. Sainsaulieu., Thése d’habilitation, univ. P. et M. Curie (1995).
D.M. Salas, A. Iollo, Entropy jump across an inviscid shock wave, Theo. Comp. Fluid Dynamics 8 (1996), 365–375.
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© 1999 Springer Basel AG
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Buffard, T., Gallouët, T., Hérard, JM. (1999). A Naive Riemann Solver to Compute a Non-conservative Hyperbolic System. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_15
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DOI: https://doi.org/10.1007/978-3-0348-8720-5_15
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-8720-5
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