%0 Journal Article
%T Block-based adaptive mesh refinement scheme using numerical density ofentropy production for three-dimensional two-fluid flows
%+ Institut de Mathématiques de Toulon - EA 2134 (IMATH)
%+ Institut méditerranéen d'océanologie (MIO)
%A Golay, Frederic
%A Ersoy, Mehmet
%A Yushchenko, Lyudmyla
%A Sous, Damien
%< sans comité de lecture
%Z MIO:15-035
%@ 1061-8562
%J International Journal of Computational Fluid Dynamics
%I Taylor & Francis
%P xx
%8 2015-02-18
%D 2015
%R 10.1080/10618562.2015.1012161
%Z Sciences of the Universe [physics]/Ocean, Atmosphere
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
%Z Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01226163v2/document
%2 https://hal.science/hal-01226163v2/file/AMR_2014_v8.pdf
%L hal-01226163
%U https://hal.science/hal-01226163
%~ IRD
%~ INSU
%~ UNIV-TLN
%~ CNRS
%~ UNIV-AMU
%~ MIO
%~ OSU-INSTITUT-PYTHEAS
%~ GIP-BE
%~ IMATH
%~ TESTUPPA
%~ MIO-OPLC