City Research Online

Abstract

Theoretical and numerical investigations have been completed for the solution of the potential theory problem of wave scattering by the method of integral equations. It has been demonstrated that a distribution of sources over a boundary which is distinct from the fluid boundary results in a Fredholm integral equation of the first kind with a regular kernel. This is an alternative to the conventional integral equation formulations which are Fredholm equations of the second kind with singular kernels.

Application of the regular kernel method with a distribution of wave sources to the problem of waves interacting with a submerged circular obstacle in a two dimensional domain gives numerical results which are more accurate than the conventional methods for equivalent discretisation schemes. It has been found that the implementation of refinements to the discretisation scheme is only occasionally beneficial.

The experimental investigation of waves interacting with a submerged circular cylinder includes the measurement of the wave motion in the near-field and far-field and the measurement of pressures on the cylinder surface. The objective of the study is to determine whether the linear potential theory predictions are in agreement with the measured values. The experimental programme was designed to establish the importance of finite wave height and the extent to which measurements obtained for steeper waves and shallower cylinder submergence depart from the predictions of small amplitude theory.

Consideration has been given to the possibility of developing an appropriate non-linear theoretical model by reference to the alternative methods which are currently being investigated and the experimental results obtained in this study.

Publication Type:	Thesis (Doctoral)
Subjects:	T Technology > T Technology (General) T Technology > TA Engineering (General). Civil engineering (General)
Departments:	School of Science & Technology > Department of Engineering School of Science & Technology > School of Science & Technology Doctoral Theses Doctoral Theses

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