Staggered grids hybrid-dual spectral element method for second- order elliptic problems Application to high-order time splitting methods for Navier-Stokes equations

摘要

This paper is a presentation of a presentation of a mixed spectral element method, based on staggered grids strategy, used for the discretization of second-order elliptic problems set under hybrid dual formulation. A numerical analysis is performed proving the expected optimality and some numerical tests are described to confirm the predicted convergence rates. The second part deals with a high-order time splitting/spectral scheme for the simulation of unsteady incompressible Navier-Stokes flows.