Application of the Highest Order Finite Difference Scheme to Solve Incompressible Navier-Stokes Equations. G.U. Aero Report 9226

Shu, C. and Richards, B.E. (1992) Application of the Highest Order Finite Difference Scheme to Solve Incompressible Navier-Stokes Equations. G.U. Aero Report 9226. Technical Report. Department of Aerospace Engineering, University of Glasgow.

Abstract

This paper introduces a global method of the highest order finite difference scheme for the discretization of any order derivative. The weighting coefficients in this scheme can be deteraiined by a simple algebraic formulation or by a recurrence relationship. A multi-domain technique was also presented for treating more complex problems. Application of this scheme to solve 2D incompressible Navier-Stokes equations showed that accurate numerical results can be achieved using just a few grid points and requiring much less computational effort and storage.

• Item Type: Research Reports or Papers (Technical Report)
• Status: Published
• Glasgow Author(s) Enlighten ID: Richards, Prof Bryan
• Authors: Shu, C., and Richards, B.E.
• College/School: College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
• Publisher: Department of Aerospace Engineering, University of Glasgow
• Copyright Holders: Copyright © 1992 Department of Aerospace Engineering, University of Glasgow
• Publisher Policy: Reproduced with the permission of the Department