Simple explicit upwind schemes for solving compressible flows

Abstract

Several upwind numerical methods for solving the compressible inviscid and viscous flow equations are discussed. Due to their explicit nature, the schemes are very simple and easy to apply to solutions on multi-block structured grids. Their favorable high frequence damping results in good rates of convergence when combined with multigrid procedures. The schemes are optimized using a simple stability and damping factor analysis. Results for three-dimensional test cases are shown and discussed. Attention is payed to the relative efficiencies of these schemes.