Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/8221
Title: Effect of boundary vorticity discretization on explicit stream-function vorticity calculations
Authors: Sousa, E. 
Sobey, I. J. 
Issue Date: 2005
Citation: International Journal for Numerical Methods in Fluids. 49:4 (2005) 371-393
Abstract: The numerical solution of the time-dependent Navier-Stokes equations in terms of the vorticity and a stream function is a well tested process to describe two-dimensional incompressible flows, both for fluid mixing applications and for studies in theoretical fluid mechanics. In this paper, we consider the interaction between the unsteady advection-diffusion equation for the vorticity, the Poisson equation linking vorticity and stream function and the approximation of the boundary vorticity, examining from a practical viewpoint, global iteration stability and error. Our results show that most schemes have very similar global stability constraints although there may be small stability gains from the choice of method to determine boundary vorticity. Concerning accuracy, for one model problem we observe that there were cases where the boundary vorticity discretization did not propagate to the interior, but for the usual cavity flow all the schemes tested had error close to second order. Copyright © 2005 John Wiley & Sons, Ltd.
URI: http://hdl.handle.net/10316/8221
DOI: 10.1002/fld.1001
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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