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完全非线性深水波的数值模拟

, PP. 27-35

Keywords: 造波板运动,数值变深水槽,完全非线性,高阶边界元,深水波

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Abstract:

基于势流理论,并结合深水波质点运动从水面向下呈e指数衰减的特性,建立了完全非线性数值变深水槽模型,通过实时模拟活塞式造波机运动来产生波浪。采用时域高阶边界元法进行模拟,利用混合欧拉-拉格朗日方法和四阶Runge-Kutta方法追踪流体瞬时水面,应用镜像格林函数消除了水槽两个侧面的积分,在水槽末端布置人工阻尼层来消除反射波浪。利用GMRES加速算法,提高了计算效率。利用所建模型对深水波进行了模拟研究,得到了稳定的波形,在造波板运动幅值较小时,与线性解析结果吻合良好;当造波板运动幅值较大时,体现出波浪的非线性特性。利用所建模型研究了造波板所在位置(上部台阶)水深对生成波浪高度的影响,由此可以选择合适的造波板所在位置水深及造波板运动幅值来得到所需要的深水波浪。

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