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Golay, F.; Ersoy, M.; Yushchenko, L.; Sous, D.

Block-based adaptive mesh refinement scheme using numerical density of entropy production for three-dimensional two-fluid flows. (English) Zbl 07514815

Int. J. Comput. Fluid Dyn. 29, No. 1, 67-81 (2015).
Summary: 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.

Cited in 4 Documents

MSC:

76-XX Fluid mechanics
80-XX Classical thermodynamics, heat transfer

Keywords:

low Mach model; dam-break problem; two-phase flow; artificial compressibility; finite volume; block-based mesh refinement; entropy production; local time stepping

Software:

VOLNA
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Full Text: DOI HAL

References:

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