Author(s)

L. Ramirez, X. Nogueira, S. Khelladi, J. Chassaing, I. Colominas

Abstract

A high accurate finite volume method based on the use of Moving Least Squares (MLS) approximants is presented for the resolution of the incompressible Navier–Stokes equations on unstructured grids. Moreover, in order to eliminate the decoupling between pressure and velocity, we present a new Momentum Interpolation Method that allows interpolations better than linear on any kind of mesh. The accuracy of the new method is evaluated by a steady and unsteady test cases.

Keywords

high-order methods, incompressible flow, Moving Least Squares, Momentum Interpolation Method, unstructured grids, collocated grids