Section: New Results
Numerical methods
Finite volume methods in curvilinear coordinates
Participants : Hervé Guillard, Boniface Nkonga, Afeintou Sangam.
Finite volume methods are specialized numerical techniques for the solving of divergence equations in strong conservation forms of the form
where
Entropy preserving schemes for conservation laws
Participants : Christophe Berthon [University of Nantes] , Bruno Dubroca [CEA/DAM/CESTA and University of Bordeaux 1] , Afeintou Sangam.
Entropy preserving schemes for conservation laws
In collaboration with C. Berthon of University of Nantes, and B. Dubroca of CEA/DAM/CESTA and University of Bordeaux 1, we have established a new technique that proves discrete entropy inequalities of finite volume methods to approximate conservation laws. This technique is free of additional numerical models such as kinetic and relaxation schemes. Moreover, our results leads to a full class of entropy preserving schemes for general Euler equations [11] . This proposed thechnique has been successfully applied to two intermediates states scheme for 10-moments equations with laser source-term in context of Inertial Fusion Confinement. Moreover, the derived procedure is now extended to Saint-Venant model.
Mesh adaptation Methods
Participants : Anca Belme [Projet Tropics] , Hubert Alcin [Projet Tropics] , Alain Dervieux, Frédéric Alauzet [Projet Gamma, INRIA-Rocquencourt] .
This activity results from a cooperation between Gamma, Tropics, Pumas, and Lemma company. See details in Tropics and Gamma activity reports. Its concerns Pumas's subject through the current applications of mesh adaptation to flows with interfaces and the starting application of mesh adaptation to Large Eddy Simulation. It is also planned to use mesh adaptation for simplified plasma models in the context of ANEMOS ANR project.
Parallel CFD algorithms
Participants : Hubert Alcin [Tropics] , Olivier Allain [Lemma] , Anca Belme [Tropics] , Marianna Braza [IMF-Toulouse] , Alexandre Carabias [Tropics] , Alain Dervieux, Bruno Koobus [Université Montpellier 2] , Carine Moussaed [Université Montpellier 2] , Hilde Ouvrard [IMF-Toulouse] , Stephen Wornom [Lemma] .
Pumas is associated to the ANR ECINADS project started in end of 2009, devoted to the design of new solution algorithms for unsteady compressible flows, adapted to scalable parallelism and to reverse (adjoint) Automatic Differentiation. See in the activity report of Tropics. The newer two-level deflation algorithm is currently applied to a simplified plasma model in the context of ANEMOS ANR.