Lattice Boltzmann Methods for Compressible Two-Phase Flow Problems

Philippe Helluy (1, 2)

1 TONUS - TOkamaks and NUmerical Simulations
2 IRMA - Institut de Recherche Mathématique Avancée

By a combination of well-established mathematical techniques, it is possible to construct a general numerical method for solving any hyperbolic system of conservation laws with the following interesting features: time-explicit, unconditionally stable, accepting unstructured arbitrary meshes, of arbitrary order and naturally parallel. We give an overview of the construction of the method and an example of application to a multiphase compressible flow sedimentation problem.

Domaines: Equations aux dérivées partielles [math.AP]

Philippe Helluy. Lattice Boltzmann Methods for Compressible Two-Phase Flow Problems. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, Sep 2019, Rhodes, Greece. pp.030004, ⟨10.1063/5.0026705⟩. ⟨hal-03032551⟩