Numerical simulation of fully nonlinear irregular wave tank in three dimension

Numerical simulation of fully nonlinear irregular wave tank in three dimension
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DOI:
10.1002/fld.1385
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发表时间:
2007-04
影响因子:
1.8
通讯作者:
D. Ning;B. Teng
D. Ning;B. Teng
中科院分区:
工程技术4区
文献类型:
--
作者:
D. Ning;B. Teng

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采用三维高阶边界元法(HOBEM)在时域内建立了一个完全非线性的不规则波水池。在每个时间步用积分方程法求解拉普拉斯方程。基于镜像理论,在整个流体域中引入一种新的绿色函数,使得积分方程只对入射面和自由面进行离散。将完全非线性自由表面边界条件与时间积分,通过半混合欧拉-拉格朗日时间推进格式更新波浪剖面和边界值。通过在输入边界上输入解析形式产生入射波,并在模拟开始时引入斜坡函数以避免初始瞬态扰动。在波到达下游边界之前,通过在自由表面上使用空间变化的人工阻尼,使出射波充分消散。对线性波和非线性波进行了大量的数值模拟,并将模拟结果与理论输入波进行了比较。版权所有© 2006约翰威利父子有限公司。
A fully nonlinear irregular wave tank has been developed using a three‐dimensional higher‐order boundary element method (HOBEM) in the time domain. The Laplace equation is solved at each time step by an integral equation method. Based on image theory, a new Green function is applied in the whole fluid domain so that only the incident surface and free surface are discretized for the integral equation. The fully nonlinear free surface boundary conditions are integrated with time to update the wave profile and boundary values on it by a semi‐mixed Eulerian–Lagrangian time marching scheme. The incident waves are generated by feeding analytic forms on the input boundary and a ramp function is introduced at the start of simulation to avoid the initial transient disturbance. The outgoing waves are sufficiently dissipated by using a spatially varying artificial damping on the free surface before they reach the downstream boundary. Numerous numerical simulations of linear and nonlinear waves are performed and the simulated results are compared with the theoretical input waves. Copyright © 2006 John Wiley & Sons, Ltd.