A New Meshfree Approach for Fluid Flow Simulation with Free Surface

Abstract

Meshfree fluid flow simulation has achieved large popularity in the last few years. Meshfree Galerkin Methods and Smooth Particle Hydrodynamics are typical examples of mesh- free techniques, whose ability to handle complex problems has motivated the interest in the field. In this work we present a new meshfree strategy that makes use of moving least square (MLS) to discretize the equations. A mesh is only employed to manage the neighborhood relation of points spread within the domain, avoiding thus the problem of keeping a good quality mesh. The modeling of the free surface is based on the volume of fluid (VOF) technique. Distinct from mesh dependent discretization approaches, which estimate the fraction of fluid from the mesh cells, our approach employ the neighborhood relation and a semi-Lagrangian scheme to compute the free surface. Results of numerical simulations proving the effectiveness of our approach in two-dimensional fluid flow simulations are presented and discussed. nn