Flux-based acceleration of the Euler equations

Abstract

A new coarse grid acceleration scheme for the Euler equations is presented. This flux based scheme eliminates the need, exhibited by previous accelerators, for computing flux vector Jacobian matrices. The method is derived and implemented in a two dimensional flow algorithm. Numerical results are presented for both subcritical and shocked, supercritical flow. These results demonstrate that the flux based accelerator is more efficient than its Jacobian based counterpart. Generalization to three dimensions is immediate. Construction of flux based accelerators for the Navier-Stokes equations is also discussed.