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.
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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) |
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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 |
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