Department of Mathematics Calendar
Philippe Angot, Aix-Marseille Universite, Recent advances on vector penalty-projection methods for low-Mach multiphase flows with strong stresses and open boundary conditions
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We discuss the efficiency of recent advances on the vector penalty-projection methods [1, 2, 3] including the kinematic version  which uses fast discrete Helmholtz-Hodge decompositions  on edge-based generalized MAC-type unstructured meshes. These methods are especially designed for the computation of incompressible or low-Mach multiphase flows under strong constraints (large density or viscosity ratios, large surface tension) and with Dirichlet  or open boundary conditions [7, 8]. We shall explain how these methods are suitable to overcome most drawbacks of the scalar incremental projection methods. The simulation of air bubbles dynamics in a liquid melted steel will be shown which is a highly challenging test case.