Block-based adaptive mesh refinement scheme using numerical density of entropy production for three-dimensional two-fluid flows |
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| Authors: | F Golay M Ersoy L Yushchenko D Sous |
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| Institution: | 1. Institut de mathématique de Toulon, University of Toulon, La Garde, France;2. Mediterranean Institute of Oceanography, University of Toulon, CNRS/INSU,IRD, La Garde, France |
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| Abstract: | 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. |
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| Keywords: | low Mach model dam-break problem two-phase flow artificial compressibility finite volume block-based mesh refinement entropy production local time stepping |
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