水动力学研究与进展A辑
水動力學研究與進展A輯
수동역학연구여진전A집
Journal of Hydrodynamics
2015年
4期
433-439
,共7页
周斌珍%滕斌%宁德志%齐江辉
週斌珍%滕斌%寧德誌%齊江輝
주빈진%등빈%저덕지%제강휘
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
高階邊界元方法%完全非線性%速度勢分離%波物相互作用%三階共振
고계변계원방법%완전비선성%속도세분리%파물상호작용%삼계공진
higher-order boundary element method%fully nonlinearity%velocity potential separation%wave-structure interaction%third-order harmonic resonance
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。
該文基于勢流理論和高階邊界元方法,建立瞭開敞水域波浪與三維物體相互作用的完全非線性數值模型。採用速度勢分離技術,將總速度勢分離成入射勢和散射勢,入射勢通過理論解給定。採用混閤歐拉-拉格朗日方法追蹤流體瞬時水麵,引進虛擬函數耦閤求解波浪力和運動方程,自由水麵網格僅在初始時刻生成一次,隨後採用彈簧近似法在不改變網格節點排列的情況下對瞬時水麵進行網格重構。利用所建立模型模擬完全非線性波浪對固定圓柱的繞射作用,併對規則浪三倍頻作用下漂浮圓柱的共振響應進行瞭研究。
해문기우세류이론화고계변계원방법,건립료개창수역파랑여삼유물체상호작용적완전비선성수치모형。채용속도세분리기술,장총속도세분리성입사세화산사세,입사세통과이론해급정。채용혼합구랍-랍격랑일방법추종류체순시수면,인진허의함수우합구해파랑력화운동방정,자유수면망격부재초시시각생성일차,수후채용탄황근사법재불개변망격절점배렬적정황하대순시수면진행망격중구。이용소건립모형모의완전비선성파랑대고정원주적요사작용,병대규칙랑삼배빈작용하표부원주적공진향응진행료연구。
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.