Computation of High-Speed Inviscid Compressible Flow by Upwind Schemes

Dynamics of inviscid compressible flow is governed by the Euler equations. Unsteady Euler equations are always hyperbolic. Upwind methods take into account the wave-like behavior of the hyperbolic systems and they are found to be more successful in numerical computation compared with central difference methods accompanied by artificial viscosity. Computation of flows governed by compressible Euler equations around such configurations like wing, aircraft, missile and launch vehicles are some situations where upwind schemes are extensively used. These schemes are not uniformly good for all situations. The relative merits and demerits of different upwind schemes by applying them for different flow situations like shock tube problem and 1-D quasi nozzle.