摘要
该文基于势流理论和高阶边界元方法,建立了开敞水域波浪与三维物体相互作用的完全非线性数值模型。采用速度势分离技术,将总速度势分离成入射势和散射势,入射势通过理论解给定。采用混合欧拉-拉格朗日方法追踪流体瞬时水面,引进虚拟函数耦合求解波浪力和运动方程,自由水面网格仅在初始时刻生成一次,随后采用弹簧近似法在不改变网格节点排列的情况下对瞬时水面进行网格重构。利用所建立模型模拟完全非线性波浪对固定圆柱的绕射作用,并对规则浪三倍频作用下漂浮圆柱的共振响应进行了研究。
A fully nonlinear numerical model for the interactions of wave and three-dimensional structure in the open sea has been developed based on the potential theory together with a higher-order boundary element method. The whole problem is separated into an incident part and a scattered part by a velocity potential separation technique. The incident flow is evaluated exactly by the analytical solution. The mixed Euler-Lagrangian method is utilized to track the free surface. Through some auxiliary functions, the mutual dependence of wave/structure motions is coupled. The mesh on the free surface is generated only once at the initial time and the element nodes are rearranged subsequently without changing their connectivity by using a spring analysis method. Numerical simulations are carried out for wave diffraction around a fixed vertical cylinder. The resonance generated by the 3rd-order force at the triple wave frequency in regular waves is also discussed for a freely floating cylinder.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2015年第4期433-439,共7页
Chinese Journal of Hydrodynamics
基金
国家自然科学基金(51409066)
黑龙江省博士后科学基金(LBH-Z13060)
上海交通大学海洋工程国家重点实验室开放基金(1311)~~
关键词
高阶边界元方法
完全非线性
速度势分离
波物相互作用
三阶共振
higher-order boundary element method
fully nonlinearity
velocity potential separation
wave-structure interaction
third-order harmonic resonance
