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Article Dans Une Revue International Journal of Computational Fluid Dynamics Année : 2000

An approximate Roe-type Riemann solver for a class of realizable second order closures

Gilles Brun
  • Fonction : Auteur
Jean-Marc Hérard
EDF

Résumé

A realizable, objective second-moment turbulence closure, allowing for an entropy carac-terisation, is analyzed with respect to its convective subset. The distinct characteristic wave system of these equations in non-conservation form is exposed. An approximate solution to the associated one-dimensional Riemann problem is constructed making use of approximate jump conditions obtained by assuming a linear path across shock waves. A numerical integration method based on a new approximate Riemann solver (ux-di erence-splitting) is proposed for use in conjunction with either unstructured or structured grids. Test calculations of quasi one-dimensional ow cases demonstrate the feasibility of the current technique even where Euler-based approaches fail.
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Dates et versions

hal-01580047 , version 1 (23-12-2019)

Identifiants

Citer

Gilles Brun, Jean-Marc Hérard, Denis Jeandel, Markus Uhlmann. An approximate Roe-type Riemann solver for a class of realizable second order closures. International Journal of Computational Fluid Dynamics, 2000, 13 (3), pp.223-249. ⟨10.1080/10618560008940900⟩. ⟨hal-01580047⟩
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