The numerical simulation of compressible flow in a Shubin nozzle using schemes of Bean-Warming and flux vector splitting

Over the last ten years, robustness of schemes has raised an increasing interest among the CFD community. The objective of this article is to solve the quasione-dimensional compressible flow inside a Shubin nozzle and to investigate Bean-Warming and flux vector splitting methods for numerical solution ofcompressible flows. Two different conditions have been considered: first, there is a supersonic flow in the entry and a supersonic flow in the outlet, without anyshock in the nozzle. Second, there is a supersonic flow in the inlet and a subsonic flow in the outlet of the nozzle and a shock occur inside the nozzle. The results show that the run time of the flux vector splitting scheme is more than the Bean-Warming scheme, and, the flux vector splitting scheme is more accurate than theBean-Warming scheme. However the flux vector splitting scheme is more complicated.

Keywords:

Compressible flow , Shubin nozzle , Bean-Warming scheme , Flux vector splitting , scheme , Euler equation