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A Comparison of Velocity-Vorticity and Stream Function-Vorticity Formulations for Pr=0

Masud Behnia, G. Vahl Davis, F. Stella, G. Guj

Abstract

A comparison is made of solutions obtained by the velocity-vorticity and stream function-vorticity formulations of the governing equations for the case of a rigid-rigid cavity with Pr = 0. A uniform mesh of 41 × 161 was used in both formulations. The velocity-vorticity method predicts more accurate velocity components but at a higher computational cost.

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Key concepts: Vorticity, Stream function, Vorticity equation, Function (biology), Positive vorticity advection, Potential vorticity, Mathematical analysis, Physics