A multilevel local mesh refinement projection method for low Mach number flows

Xavier Coré, Philippe Angot and Jean-Claude Latché

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 477-488

Abstract: This paper addresses a sub-problem of low Mach number reactive flows modelling: the solution of the mass and momentum balance equations for a pressure-independent variable density flow. For this objective, we develop a novel numerical scheme: the time discretisation is performed by an incremental projection method, using the original form of the mass balance equation for the projection step; the resulting two semi-discrete problems are then discretised in space by finite volumes on a MAC staggered mesh, with a multilevel local mesh refinement algorithm based on the Flux Interface Correction (FIC) method. The efficiency of this numerical scheme, which offers the opportunity to avoid computing with non-uniform grids or unstructured meshes, is assessed against a practical test case, specifically produced for this purpose.

Keywords: FIC method; Finite volume scheme; Low Mach number flows; Multilevel local mesh refinement; Projection method; Variable density flows (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:61:y:2003:i:3:p:477-488

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