针对波浪与带有窄缝多固定直角箱体结构作用产生的流体共振问题,建立了非线性波浪荷载分析二维时域模型。该模型采用域内源造波技术产生入射波浪,自由水面满足完全非线性运动学和动力学边界条件,窄缝内自由水面引入人工阻尼来等效由于涡旋运动和流动分离引起的粘性耗散,建立边界积分方程并采用高阶边界元离散求解物面上速度势等未知量,进而利用加速度势的方法来求得速度势时间导数,并基于伯努利方程积分得到作用结构上的瞬时波浪荷载。通过模拟带两窄缝的三箱体所受水平力与垂向力,并与已发表结果对比验证了模型的准确性。同时通过大量的数值计算,分析了箱体数量对各箱体所受波浪荷载大小及变化规律的影响。
A two-dimension nonlinear wave-load numerical model in a time-domain is developed for the fluid resonance induced by the interaction between wave and fixed rectangular multi-boxes with narrow gaps. In the proposed model, the incident wave is generated by the inner-domain sources. The fully nonlinear kinematic and dynamic boundary conditions are satisfied on the instantaneous free surface. An artificial damping is introduced into the free surface of gaps to approximate the viscous dissipation due to vortex motion or flow separation. The corresponding boundary integral equation is founded and a higher-order boundary element method is used to discretize and solve it. Then the acceleration potential technique is adopted to calculate the temporal derivative of the potential on the body surface, and transient wave loads are obtained by integrating the Bernoulli equation along the wetted object surface. By the comparison with the published numerical results of the horizontal and vertical forces in the case of two narrow gaps of three boxes, the proposed model is validated. Numerical experiments are further performed to study the effects of the number of the boxes on the wave loads on the boxes and their variation rules.