Numerical Simulations of Navier Stokes for Transient Flows in 2D

Abstract

The present work describes the numerical simulations of transient flows in two dimensional geometries with shock waves involving multiple shocks and reflections of shockwaves, and their interactions. The numerical formulations solve the fully compressible Navier Stokes equations set using explicit Mac Cormack method. The numerical simulated results are compared against well validated solutions based on different implementations and methods. In this work the primary intention is investigate the no-slip boundary condition behavior. The numerical simulated results were compared with high resolution TVD numerical results and good agreements were obtained. These numerical simulations have also revealed that the NS formulation is very sensible to the mesh used and its solution becomes unstable as a function of mesh density and quality.