An adaptative augmented Lagrangian method for three-dimensional multimaterial flows

Abstract The direct numerical simulation of incompressible multimaterial flows, based on predictor/corrector and volume of fluid (VOF) approaches is presented. An original adaptative augmented Lagrangian method is proposed to solve the predictor solution, satisfying at the same time the conservation equations as well as the incompressibility constraint. This algorithm is based on an Uzawa optimisation technique. The corrector solution is obtained with a projection method on a divergence free subspace. Several examples of two- and three-dimensional flows are proposed to illustrate the ability of the method to deal with unsteady, multimaterial problems.

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