中国造船
中國造船
중국조선
SHIPBUILDING OF CHINA
2014年
3期
166-174
,共9页
GMRES(m)方法%时域水动力%时域格林函数%边界元法
GMRES(m)方法%時域水動力%時域格林函數%邊界元法
GMRES(m)방법%시역수동력%시역격림함수%변계원법
GMRES(m) method%time domain hydrodynamic%transient Green function%body boundary element method
为了提高海洋结构物时域水动力边界元方法的计算求解效率，基于三维时域势流理论，分别对浮体的线性绕射问题和非线性辐射问题进行数值计算，同时采用基于 Galerkin 原理的 GMRES（m）方法求解用时域水动力边界元方法离散得到的线性代数方程组，并与现有文献结果进行比较。研究结果表明，该方法适于求解时域水动力边界元分析中形成的非对称稠密线性方程组，具有较好的收敛特性。计算结果令人满意，求解效率高。
為瞭提高海洋結構物時域水動力邊界元方法的計算求解效率，基于三維時域勢流理論，分彆對浮體的線性繞射問題和非線性輻射問題進行數值計算，同時採用基于 Galerkin 原理的 GMRES（m）方法求解用時域水動力邊界元方法離散得到的線性代數方程組，併與現有文獻結果進行比較。研究結果錶明，該方法適于求解時域水動力邊界元分析中形成的非對稱稠密線性方程組，具有較好的收斂特性。計算結果令人滿意，求解效率高。
위료제고해양결구물시역수동력변계원방법적계산구해효솔，기우삼유시역세류이론，분별대부체적선성요사문제화비선성복사문제진행수치계산，동시채용기우 Galerkin 원리적 GMRES（m）방법구해용시역수동력변계원방법리산득도적선성대수방정조，병여현유문헌결과진행비교。연구결과표명，해방법괄우구해시역수동력변계원분석중형성적비대칭주밀선성방정조，구유교호적수렴특성。계산결과령인만의，구해효솔고。
In order to improve calculation efficiency of body boundary element method for solving hydrodynamic problem of offshore structure in time domain, the linear diffraction problem and nonlinear radiation problem is discussed based on three-dimensional potential flow theory. According to Galerkin principle, the GMRES (m) method is adopted to solve discredited linear algebraic equations arising from body boundary element algorithm. The numerical results are compared with some available results to validate present method. The results show that present approach is a suitable algorithm in solving large scale matrix. It has well convergence behavior, satisfactory agreement and high efficiency of computation.
