CAJ | 학술논문

文章基于三维时域格林函数理论,提出了一种时域边界积分方程的改进计算方法,用于预报海洋结构物在波浪中运动受到的时域波浪力.该方法通过利用物体内部构造的满足拉普拉斯方程的内部解,在时域边界积分方程中只需要计及时域格林函数记忆项本身,从而有效地避免了求解具有高震荡积分特性的时域格林函数记忆项的法向导数.对潜体和浮体作了计算,结果表明,这种方法十分有效,可以有效节省内存使用量和计算机空间.通过与相关已发表文献的结果进行比较,计算结果令人满意.
문장기우삼유시역격림함수이론,제출료일충시역변계적분방정적개진계산방법,용우예보해양결구물재파랑중운동수도적시역파랑력.해방법통과이용물체내부구조적만족랍보랍사방정적내부해,재시역변계적분방정중지수요계급시역격림함수기억항본신,종이유효지피면료구해구유고진탕적분특성적시역격림함수기억항적법향도수.대잠체화부체작료계산,결과표명,저충방법십분유효,가이유효절성내존사용량화계산궤공간.통과여상관이발표문헌적결과진행비교,계산결과령인만의.
Based on a three dimensional transient free surface Green function, an improved solution of body boundary integral equation in time domain is presented, to numerically simulate hydrodynam-ic forces of offshore structure in waves. Transient Green function is adopted under the mean wetted body boundary condition and linearized free surface boundary condition. In order to avoid the high oscillation normal derivatives of the transient Green function memory term, an improved efficient so-lution is proposed here in time domain. An internal solution inside the offshore structure, which sat-isfies the Laplace equation, can replace the normal derivatives of the transient Green function mem-ory term so as to only calculate the transient Green function memory term itself in body boundary integral equation. Using the newly proposed approach, various cases for 3D submerged body and float-ing body are simulated. The numerical results show that this new solution can effectively save the memory usage and space for computer, and make simple calculation for integral equation than the tra-ditional method. The proposed method was validated by comparing its numerical results with some available results in the public domain, and satisfactory agreements were achieved.