Pressure Method for the Numerical Solution of Transient, Compressible Fluid Flown

Abstract

**Please note that the full text is embargoed** ABSTRACT: In this paper the pressure method for incompressible fluid flow simulation is extended and applied to the numerical simulation of compressible fluid flow. The governing equations, obtained from the physical principles of conservation of momentum, mass and energy, are first studied from a characteristic point of view. Then they are discretized with a semi-implicit finite difference technique in such a fashion that the Courant stability condition on the time step is not required. The resulting algorithm is fast, accurate and applies to problems with arbitrarily large speed of sound. As an example, the computer simulation of the von Kármán vortex street is described and discussed.