Diffraction Forces on Axisymmetric Bodies

by Y. -C. Hsu, Univ of Texas, Austin, TX, USA,
D. Syriopoulou, Univ of Texas, Austin, TX, USA,
J. M. Roesset, Univ of Texas, Austin, TX, USA,
J. L. Tassoulas, Univ of Texas, Austin, TX, USA,

Document Type: Proceeding Paper

Part of: Dynamic Response of Structures


Use of a Green function satisfying the governing differential equation and all boundary conditions except those on the boundary of the structure yields an integral equation, when these boundary conditions are imposed. A system of algebraic equations can then be obtained by discretizing the boundary of the structure ('direct' or 'indirect' boundary element methods). Finite element techniques are not as straightforward because the water domain is not bounded and an artificial boundary must be introduced at some distance from the structure. In this paper, the derivation of a consistent boundary matrix for a fluid domain is presented. The formulation has been implemented in a computer program and has been applied to the study of linear diffraction forces on rigid and flexible axisymmetric bodies of otherwise arbitrary geometry, fixed or movable, and to the approximate solution of nonlinear diffraction problems.

Subject Headings: Axisymmetry | Domain boundary | Boundary element method | Water waves | Wave diffraction | Boundary conditions | Matrix (mathematics) | Numerical analysis

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