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Räsänen, S. M.

A velocity formulation for flow past a symmetric profile with a wake. (English) Zbl 0673.76016

Int. J. Numer. Methods Fluids 9, No. 9, 1113-1119 (1989).
Summary: A model having velocity components as basic unknowns is presented for calculation of two-dimensional flow past a symmetric profile with a wake in a channel. A modified least squares functional is used for the finite element solution of velocities. The determination of the free streamline is treated as an optimum design problem. The concepts of cost function, geometric parameter and sensitivity derivative are employed. Numerical results are compared with published results obtained with streamfunction formulations.

MSC:

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing

Keywords:

two-dimensional flow past a symmetric profile; wake in a channel; finite element solution of velocities; optimum design problem; cost function; geometric parameter; sensitivity derivative; streamfunction formulations
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References:

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