Multidomain Solutions of Incompressible Flows with Complex Geometry by Generalized Differential Quadrature. G.U. Aero Report 9118

Shu, C. and Richards, B. E. (1991) Multidomain Solutions of Incompressible Flows with Complex Geometry by Generalized Differential Quadrature. G.U. Aero Report 9118. Technical Report. Department of Aerospace Engineering, University of Glasgow.

Abstract

A multi-domain generalized differential quadrature method for the solution of two-dimensional, steady, incompressible Navier-Stokes equations in the stream function-vorticity formulation around an arbitrary geometry is presented, and applied to the flows past a backward facing step and a square step in a channel. In each subdomain, the spatial derivatives are discretized by local generalized differential quadrature. The resultant set of ordinary differential equations for vorticity are solved by the 4-stage Runge-Kutta scheme, and the set of algebraic equations for the stream function are solved by LU decomposition. Patching conditions at the interface of subdomains are used. A residual averaging technique is applied to accelerate the convergence to steady state resolution. Good agreement is obtained, compared with available experimental data and other numerical results even though only a few grid points are used.

• Item Type: Research Reports or Papers (Technical Report)
• Status: Published
• Refereed: Yes
• 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 © 1991 Department of Aerospace Engineering, University of Glasgow
• Publisher Policy: Reproduced with the permission of the Department