大型九对角线性方程组的MG-SIP算法研究  

Analysis of MG-SIP Algorithm in Solving Large-scaled Nine-diagonal Linear Equation Set

作　　者：侯炳旭[1] 俞冀阳[1] 

机构地区：[1]清华大学工程物理系,北京100084

出　　处：《原子能科学技术》2013年第6期975-982,共8页Atomic Energy Science and Technology

摘　　要：以圆柱坐标系下导热问题为研究对象,针对计算流体力学中常见的九对角线性方程组,将强隐算法(SIP)和多重网格(MG)方法结合起来,建立新算法。通过编程实现该算法,并通过讨论其运算性质随各相关参数的变化,以及与其他有代表性的算法进行比较,分析这一新算法在求解速度、计算精度等方面的性质。结果表明,该算法在处理高网格密度问题时在求解速度方面具有优势。In order to deal with the problem of nine-diagonal linear equation set which was commonly existed in heat conduction in circular cylindrical coordinates,a new algorithm by combining SIP（strong implicit procedure） and MG（MultiGrid） method was studied.The new algorithm was realized with computer code and its features such as the speed and accuracy in solving actual problems were discussed by analyzing the relationship between these features and some related parameters and comparing with some representative algorithms of today.The results show that this algorithm has an advantage in the speed of solving in terms of problems with high mesh density.

关 键 词：九对角线性方程组 强隐算法 多重网格方法 

分 类 号：TL329.2[核科学技术—核技术及应用]