Tracking Fronts in One and Two-phase Incompressible Flows Using an Adaptive Mesh Refinement Approach

Authors:
Stephanie Delage-Santacreu;Stephane Vincent;Jean-Paul Caltagirone
Affiliations:
Laboratoire TREFLE, UMR 8508, site ENSCPB, Universite de science Bordeaux 1, Pessac, France 33607;Laboratoire TREFLE, UMR 8508, site ENSCPB, Universite de science Bordeaux 1, Pessac, France 33607;Laboratoire TREFLE, UMR 8508, site ENSCPB, Universite de science Bordeaux 1, Pessac, France 33607
Venue:
Journal of Scientific Computing
Year:
2009

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Abstract

Numerical computation is an essential tool for describing multi-phase and multi-scale flows accurately. One possibility consists in using very fine monogrids to obtain accurate solutions. However, this approach is very costly in time and memory size. As an alternative, an Adaptive Mesh Refinement method (AMR) has been developed in order to follow either interfaces in two-phase flows or concentration of a pollutant in one-phase flows. This method has also been optimized to reduce time and memory costs. Several 2D cases have been studied to validate and show the efficiency of the method.