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INCOMPRESSIBLE FLOW COMPUTATIONS USING A HERMITE STREAM FUNCTION  

Kim, J.W. (동의대학교 기계공학과)
Publication Information
Journal of computational fluids engineering / v.12, no.1, 2007 , pp. 35-42 More about this Journal
Abstract
This paper describes a recent development on the divergence free basis function based on a hermite stream function and verifies its validity by comparing results with those from a modified residual method known as one of stabilized finite element methods. It can be shown that a proper choice of degrees of freedom at a node with a proper arrangement of the hermite interpolation functions can yield solenoidal or divergent free interpolation functions for the velocities. The well-known cavity problem has been chosen for validity of the present algorithm. The comparisons from numerical results between the present and the modified residual showed the present method yields better results in both the velocity and the pressure within modest Reynolds numbers(Re = 1,000).
Keywords
Divergence Free Element; Vector Potential; Solenoidal Basis Function; Irrotational Basis Function;
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Times Cited By KSCI : 1  (Citation Analysis)
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