孤立波与带有窄缝结构作用的数值模拟研究

摘要

针对孤立波式极值波浪与带有窄缝两结构相互作用问题，采用活塞推板造波法以及时域高阶边界元方法建立了自由水面满足完全非线性边界条件的二维数值波浪水槽模型。求解中采用混合欧拉－拉格朗日方法追踪流体瞬时水面，运用四阶龙格库塔方法更新下一时间步的波面和速度势，利用加速度势的方法来求得作用结构上的瞬时波浪荷载。通过与已发表的数值与实验结果对比，验证了所建模型的准确性。同时通过大量的数值计算研究了窄缝及结构尺寸对迎浪侧波浪爬高，窄缝内波面升高，背浪侧透射浪高以及箱体所受波浪荷载的影响规律。%This study investigated the interaction of extreme solitary waves and structures with narrow slits using a push plate wave⁃making method and a time⁃domain higher⁃order boundary element method. We established a two⁃dimensional numerical wave flume model whose free water surface satisfied fully nonlinear boundary conditions. A mixed Eulerian⁃Lagrangian method was adopted to track the transient water surface, and the fourth⁃order Runge⁃Kutta method was used to refresh the wave surface and velocity potential at each time step. The acceleration poten⁃tial method was used to calculate the transient wave loads on the structure. The superior accuracy of the proposed model in comparison with published experimental and numerical results was confirmed. Numerical simulations were performed to study the effect of the narrow slit and structure dimensions on wave runup at the head wave side, wave runup inside the narrow slit, wave height at the back wave side, and wave loads on the box.