Mimetic Staggered Discretization of Incompressible Navier–Stokes for Barycentric Dual Mesh

Abstract

A staggered discretization of the incompressible Navier-Stokes equations is presented for polyhedral non orthogonal nonsmooth meshes admitting a barycentric dual mesh. The discretization is constructed by using concepts of discrete exterior calculus. The method strictly conserves mass, momentum and energy in the absence of viscosity.