A Numerical Method for Steady-State Cavity Flows

Author:

Mogel T. R.1,Street R. L.1

Affiliation:

1. Stanford University

Abstract

Our objective was to develop a numerical method for steady-state cavity flows that provides a systematic correction of an initial, assumed free streamline position. The method uses a finite-difference representation with velocities as dependent variables and obtains a solution by successive-over-relaxation. While applicable to three-dimensional flows, the method was implemented only for a two-dimensional flow. For the free streamline, the constant-pressure condition is satisfied on a known, but approximate location. Then, the tangency condition is used to compute a better location of the streamline. This technique overcomes problems encountered by previous investigators.

Publisher

The Society of Naval Architects and Marine Engineers

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Numerical Analysis,Civil and Structural Engineering

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Numerical modelling of cavities on axisymmetric bodies at zero and non-zero angle of attack;International Journal for Numerical Methods in Fluids;1992-08-15

2. A simple and efficient BEM algorithm for planar cavity flows;International Journal for Numerical Methods in Fluids;1992-03-15

3. The method of fundamental solutions for the solution of steady-state free boundary problems;Journal of Computational Physics;1992-01

4. Axially symmetric cavitation flow at small cavitation numbers;International Journal for Numerical Methods in Fluids;1988-08

5. Numerical solution of a free surface problem by a boundary element method;International Journal for Numerical Methods in Fluids;1988-01

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