| Summary: | 碩士 === 國立臺灣大學 === 土木工程學研究所 === 87 === SUMMARY
This research employs nonsingular direct formulation of boundary integral equations to solve water wave scattering problem. It is intended to show this method is an efficient and accurate one. The singularities of Green's function in the traditional boundary element method (BEM) can be easily desingularized by the present formulation of algebraic operations.
The water wave scattering problem is formulated in the paper; velocity potential satisfies two-dimensional Helmholtz equation within the domain and no-flux condition on the boundary. In the numerical procedure of the present method, no shape functions are needed and high-order quadratural formulas are used. The solutions, such as wave amplitude, wave phase, and wave force, compare very well with analytical ones. For practical applications, some cases are calculated in this paper. For the future, we can solve the water wave scattering problems of any shape of cylinders as long as the required wave parameters are given.
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