An approximate solution of the Riemann problem for a realisable second-moment turbulent closure |
| |
| Authors: | C Berthon F Coquel JM Hérard M Uhlmann |
| |
| Institution: | (1) Université Paris VI, Laboratoire d'Analyse Numérique, 4 place Jussieu, 75008 Paris, France , FR;(2) Electricité de France, Direction des Etudes et Recherches, Département Laboratoire National d'Hydraulique, 6 quai Watier, 78400 Chatou, France , FR;(3) Université de Provence, LATP-UMR 6632, Centre de Mathématique et d'Informatique, 39 rue Joliot Curie, 13453 Marseille cedex, France , FR;(4) Ecole Centrale de Lyon, 36 avenue Guy de Collongue, 69131 Ecully, France , FR |
| |
| Abstract: | Abstract. An approximate solution of the Riemann problem associated with a realisable and objective turbulent second-moment closure,
which is valid for compressible flows, is examined. The main features of the continuous model are first recalled. An entropy
inequality is exhibited, and the structure of waves associated with the non-conservative hyperbolic convective system is briefly
described. Using a linear path to connect states through shocks, approximate jump conditions are derived, and the existence
and uniqueness of the one-dimensional Riemann problem solution is then proven. This result enables to construct exact or approximate
Riemann-type solvers. An approximate Riemann solver, which is based on Gallou?t's recent proposal is eventually presented.
Some computations of shock tube problems are then discussed.
Received 2 March 1999 / Accepted 24 August 2000 |
| |
| Keywords: | :Riemann problem Approximate Riemann solver Turbulent closure |
| 本文献已被 SpringerLink 等数据库收录！ |
|
