SOLUTION OF NAVIER-STOKES EQUATIONS ON NONSTAGGERED GRID AT ALL SPEEDS

Abstract

The present author recently devised a pressure correction algorithm for solution of incompressible Navier-Stokes equations on a nonstaggered grid [6]. This algorithm introduced the notion of smoothing pressure correction to overcome the problem of checkerboard prediction of pressure. In this article, the algorithm is extended to prediction of compressible flows with and without shocks. The predictions show that the algorithm yields results that compare extremely favorably with previous ones [6] obtained using a staggered grid. Accurate shock capturing on coarse grids, however, requires use of total variation diminishing ( TVD) discretization of the covective terms coupled with measures for stabilisation of the iteration process.

Additional information

Notes on contributors

A. W. Date

Address correspondence to Dr. A. W. Date, Department of Mechanical Engineering, Indian Institute of Technology, Powai, Bombay 400 076, India.