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中文摘要：
基于势流理论提出一种新的高阶边界元方法对无限水深的聚焦波浪进行完全非线性数值模拟。自由水面满足完全非线性边界条件，模拟波浪的非线性效果可以达到更高阶。利用镜像原理，建立一种全新的格林函数应用到无限水深的数值波浪水槽中，以致于两无限深水槽侧壁的积分可以被排除。为了产生相应的入射波和吸收出流波浪，一个由点源组成的造波装置被布置于计算域内，同时人工阻尼层被用来吸引出流波浪，由波浪聚焦的方法得到极限波浪。通过开展线性和完全非线性聚焦波浪的数值实验及与理论解对比，验证本数值模型可以用来模拟无限深水域的极限波浪，且在出流边界没有反射。
英文摘要：
Inviscid three-dimensional extreme free surface wave motions in infinite water-depth are simulated using a novel quadratic higher-order boundary element model （HOBEM） based on potential theory. The free surface boundary conditions are fully nonlinear, and thus high-or- der nonlinear effects can be modeled. By use of image theory, a channel Green function is applied to the present model so that the integration on the two lateral surfaces of an infinite-depth wave tank can be excluded. In order to generate incident waves and dissipate outgoing waves, a non-reflective wave generator is used in conjunction with two downstream damping layers. The extreme wave is produced by the method of wave focusing. Numerical experiments on linear and fully nonlinear focused waves are carried out. It can be seen from the results that the present approach is effective in generating a specified wave profile in an infinite water-depth without reflection at the open boundaries, and fully nonlin- ear numerical simulations agree well with theoretical solutions.
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