Block-based adaptive mesh refinement scheme using numerical density of entropy production for three-dimensional two-fluid flows

Frederic Golay (1) , Mehmet Ersoy (1) , Lyudmyla Yushchenko (1) , Damien Sous (2)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134
2 MIO - Institut méditerranéen d'océanologie

In this work, we present a fast and parallel finite volume scheme on unstructured meshes applied to complex fluid flow. The mathematical model is based on a three-dimensional compressible low Mach two-phase flows model, combined with a linearised ‘artificial pressure’ law. This hyperbolic system of conservation laws allows an explicit scheme, improved by a block-based adaptive mesh refinement scheme. Following a previous one-dimensional work, the useful numerical density of entropy production is used as mesh refinement criterion. Moreover, the computational time is preserved using a local time-stepping method. Finally, we show through several test cases the efficiency of the present scheme on two- and three-dimensional dam-break problems over an obstacle.

Domaines: Océan, Atmosphère; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Frederic Golay, Mehmet Ersoy, Lyudmyla Yushchenko, Damien Sous. Block-based adaptive mesh refinement scheme using numerical density of entropy production for three-dimensional two-fluid flows. International Journal of Computational Fluid Dynamics, 2015, ⟨10.1080/10618562.2015.1012161⟩. ⟨hal-01226163v2⟩