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Effect of boundary vorticity discretization on explicit stream-function vortici...
Sousa, E.; Sobey, I. J.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 linkin...
Numerical stability of unsteady stream-function vorticity calculations
Sousa, E.; Sobey, I. J.The stability of a numerical solution of the Navier-Stokes equations is usually approached by con- sidering the numerical stability of a discretized advection-diffusion equation for either a velocity component, or in the case of two-dimensional flow, the vorticity. Stability restrictions for discretized advection-diffusion equations are a very serious constraint, particularly when a mesh is refined in an explic...
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