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

Stephanie Delage Santacreu (1) , Stéphane Vincent (1) , J.P. Caltagirone (1)

1 TREFLE - Transferts, écoulements, fluides, énergétique

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.

Mots clés: 0260 − x; 0270 − c; 4755Kf; 4727Eq; 4711 + j; one and two-phase incompressible flows PACS: 47; interfaces; Adaptive mesh refinement (AMR); One and two-phase incompressible flows; Adaptive mesh refinement (AM R); conservative and non-conservative interpolations; implicit solving; numerical diffusion

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Analyse numérique [math.NA]; Mathématique discrète [cs.DM]; Modélisation et simulation

Stephanie Delage Santacreu, Stéphane Vincent, J.P. Caltagirone. Tracking Fronts in One and Two-phase Incompressible Flows Using an Adaptive Mesh Refinement Approach. Journal of Scientific Computing, 2009, 41 (2), pp.221-237. ⟨10.1007/s10915-009-9294-0⟩. ⟨hal-00395782⟩