Implicit Finite-Difference Simulation of an Internal Flow in a Nozzle: An Example of a Physical Application on a Hypercube

摘要

We are studying here the numerical simulation of high Reynolds number internal, 2-D flow in a convergent-divergent nozzle, for a compressible, viscous fluid. An implicit finite-difference scheme is used to solve the parabolic approximation of the Navier-Stokes equations, so that the time steps are not severely limited by the small grid sizes needed for the computation of the viscous effects. After the resolution of this problem on a serial computer, we describe the first steps of the parallelization of this problem on a Hypercube (parallel version of the ADI method.