CAJ | 학술논문

利用完全非线性数值波浪水槽技术研究水下平板与波浪的相互作用.假定水下平板厚度极薄、刚性,位于有限水深并且非常接近自由水面.应用四阶龙格库塔方法追踪每一时刻的波面形状,采用阻尼层来吸收反射波以保证算法的稳定性,同时引入平滑和重组的方法抑制自由表面控制点的较高梯度.通过对波浪与浮动圆柱相互作用的数值模拟证实了数值波浪水槽方法的有效性,计算结果与线性理论吻合良好.在波浪数值水槽方法中引入造波板模拟波浪产生并与水下平板发生相互作用,应用傅立叶解析方法对波面变形、波浪力作了分析.结果表明在板非常接近自由水面的情况下会表现出现很强的非线性,揭示了线性理论的局限性.
이용완전비선성수치파랑수조기술연구수하평판여파랑적상호작용.가정수하평판후도겁박、강성,위우유한수심병차비상접근자유수면.응용사계룡격고탑방법추종매일시각적파면형상,채용조니층래흡수반사파이보증산법적은정성,동시인입평활화중조적방법억제자유표면공제점적교고제도.통과대파랑여부동원주상호작용적수치모의증실료수치파랑수조방법적유효성,계산결과여선성이론문합량호.재파랑수치수조방법중인입조파판모의파랑산생병여수하평판발생상호작용,응용부립협해석방법대파면변형、파랑력작료분석.결과표명재판비상접근자유수면적정황하회표현출현흔강적비선성,게시료선성이론적국한성.
A fully nonlinear numerical wave tank technique is utilized to simulate a submerged horizontal plate. The plate is supposed to be thin, rigid and very close to free surface of water at finite depth. At each time step the wave profile is traced by fourth order Runge-Kutta method and damping zone is used to absorb outgoing wave and let simulation perform long time. Smoothing and regridding method is adopted to remove high gradients of control nodes on free surface. Numerical validities of wave tank technique are compared with linear theory of wave elevation and hydrodynamic wave interaction with a half floating cylinder, and the results show excellent agreements. Time domain wave plate simulation is carried out under the wave generated by wave maker. The free surface deformation, wave exciting force and Fourier analysis of wave plate interaction are carried out in time domain. It is found that for plate very close to free surface, strong nonlinearity occurs, which reveals the limitation of linear theory.