Abstract:

The present paper IS concerned with the numerical experiments for solving non-linear water waves in the time domain using a boundary element method. A treatment of open boundary for the nonlinear free surface flow is proposed and using these method the numerical calculation for a solitary wave, Stokes wave and 2-frequency wave are carried out. It is shown that the present open boundary condition is effective.

Introduction

In solving numerically the unsteady water wave problems. a finite fluid domain truncated with artificial boundary is used to simulate the Infinite/semi-infinite fluid domain. Then it is required to consider the waves propagating from this finite domain to the outside. except when the considered full domain is originally closed. It becomes an Important problem how to deal with the waves In the open boundary. i. e the artificial boundary between the finite domain and the outside domain. In numerical analysis without the open boundary condition, a large computational domain IS usually taken up In order to avoid the influence of reflecting waves on the boundary. In this case, the application of reasonable open boundary condition would help reduce the computational domain and improve the efficiency of numerical calculations The visualization of various phenomena by computer graphics has been becoming more and more popular in recent years. The visualization of wave propagation. the accompanying motion of a floating body and et c. by computer graphics may require time consuming calculations It is necessary therefore, to Implement open boundary conditions limiting the domain of computation so as to compute efficiently. A variety of methods are proposed for open boundary condition In water wave problems, such as the implementation of the Orlanski radiation condition (Yen and Hall. 1981 Jagannathan,1988) and the matching with analytical solutions (Masuda and Kato.1983).

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