Graduate Thesis Or Dissertation
 

Finite element analysis of wave interference effects between large structures

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  • A numerical calculation procedure for the hydrodynamic interference effects between large multiple structures interacting with linear ocean waves is presented in this study. Viscous effects are neglected and the hydrodynamic pressure forces are assumed to be inertially dominated. A finite element method which incorporates radiation boundary dampers is adopted to calculate the wave forces and other field variables in the direct interference model. Numerical solutions in the frequency domain are calculated for three categories of the boundary-value variational functional formulations: two-dimensional horizontal plane, two-dimensional vertical plane and three-dimensional problems. The two-dimensional horizontal plane interference problems are formulated by incorporating explicit integration in the vertical direction, and applied to fixed, surface-piercing structures only. Two types of radiation dampers, cylindrical and plane, are investigated. The two-dimensional vertical plane interference problems infinite water depth are formulated with flexural waves approximation to treat oblique wave diffraction and radiation. Plane dampers are used to model the radiation condition and permeable boundaries. Both floating-floating and fixed-floating structural systems are investigated. The three-dimensional interference problems have been formulated by incorporating a fictitious bottom boundary in the finite element functionals. Both cylindrical and plane dampers are used in a variety of wave diffraction and radiation problems. Isoparametric curved elements with quadratic shape functions are used in this study to represent the structural geometries and the inner fluid domain variables. A complex-valued Gauss elimination technique is used to solve the symmetric, banded matrix equations derived from the wave diffraction and radiation functionals. In the three-dimensional algorithm, a blockform Gauss elimination technique is employed to increase the solution capacity in treating complicated system. The validity of the present finite element algorithms, both in two- and three-dimensional formulations, are studied extensively. The effects of structural permeability, moorings and inter-structural constraints are also investigated. The versatility of the present three-dimensional finite element algorithm is clearly demonstrated in the design analysis of a loading/unloading facilities, where important interference phenomena are identified.
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