On the computation of the Baer-Nunziato model

Fabien Crouzet (1) , Frédéric Daude (1) , Pascal Galon (2) , Philippe Helluy (3) , Jean-Marc Hérard (1) , Yujie Liu (1)

1 EDF R&D - EDF R&D
2 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)
3 IRMA - Institut de Recherche Mathématique Avancée

This paper is devoted to the computation of the Baer-Nunziato model, and more precisely to the verification of a few schemes, while using analytic solutions of the one dimensional Riemann problem. Since classical perfect gas EOS may imply specific behaviours, we wish to investigate any kind of EOS, and thus we focus on and verify capabilities and drawbacks of simple enough solvers such as the Rusanov scheme. For so-called first-order (respectively second-order) Finite-Volume schemes, we check that a $h^{1/2}$ (resp. $h^{2/3}$) rate of convergence is retrieved. Actually, the fractional step approach is also shown to be more stable than the single-step approach.

Domaines: Physique Nucléaire Théorique [nucl-th]; Physique Nucléaire Expérimentale [nucl-ex]

Fabien Crouzet, Frédéric Daude, Pascal Galon, Philippe Helluy, Jean-Marc Hérard, et al.. On the computation of the Baer-Nunziato model. 42nd AIAA Fluid Dynamics Conference and Exhibit, Jun 2012, New-Orleans, United States. ⟨10.2514/6.2012-3355⟩. ⟨cea-03190141⟩