Multi-block technique applied to Navier-Stokes equations in two dimensions

Abstract

In this work, numerical solutions of the two-dimensional Navier-Stokes and Euler equations using explicit MacCormack method on multi-block structured mesh are presented for steady state and unsteady state compressible fluid flows. The multi-block technique and generalized coordinate system are used to develop a numerical solver which can be applied for a large range of compressible flow problems on complex geometries without modifying the governing equations and numerical method. Besides that the numerical method is based on a finite difference approach and the generalized coordinates introduced allow the application of the boundary conditions easily. The subsonic flow over a backward facing step and supersonic flow over a curved ramp are presented, and the results are compared with the experimental and numerical data.

Keywords

• navier-stokes equations
• generalized coordinates
• multi-block structured mesh
• explicit maccormack method
• finite difference method