Efficient Interpolation of Velocity and Flux Components Defined on 2- and 3-Dimensional non-Cartesian Grids

摘要

The purpose of this work is to compare the computational efficiency of someinterpolation procedures that accompany the discretization of the Navier-Stokes equations on non-Cartesian staggered grids. In this report the conclusion is reached that, as far as the computational efficiency of the involved interpolation procedures is concerned, the covariant velocity formulation is the best choice in 3D while in 2D the formulation with contravariant fluxes is optimal.