Free Surface Flows with Floating Bodies
Publication: Journal of Engineering Mechanics
Volume 116, Issue 6
Abstract
A new numerical method for solving stationary free surface flow problems with floating bodies in two dimensions is presented. The fluid flow is assumed to be incompressible and irrotational. Velocity components, discretized with isoparametric finite elements, are the basic unknowns. The discrete equations are obtained via a modified least‐squares functional. The free surface geometry is described with Hermitian cubic polynomials passing through so‐called geometry points with which certain design parameters are associated. A cost function optimum design procedure with sensitivity derivatives is employed to iterate the free surface and the floating body to the final positions. Numerical results are given for flow over a Crump weir without a floating body, and for two floating body examples. The approach presented has considerable advantages, especially with respect to the flexibility in applying boundary conditions over conventional velocity potential or stream function formulations.
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References
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 6 • June 1990
Pages: 1305 - 1316
Copyright
Copyright © 1990 ASCE.
History
Published online: Jun 1, 1990
Published in print: Jun 1990
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