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Title: Effect of boundary vorticity discretisation on explicit stream-function vorticity calculations
Authors: Sousa, Ercília 
Sobey, Ian 
Keywords: Navier-Stokes; Vorticity boundary conditions; Finite differences; Stability
Issue Date: 2004
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 04-17 (2004)
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 error and iteration stability. 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
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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