磁场与流场耦合问题中Newton-Laphson方法的收敛性分析(英文)  

Convergence Analysis of Newton-Laphson's Method for Coupled Magnetic and Flow Fields

作　　者：王金铭[1] 曲绍波[1] 于波[2] 

机构地区：[1]沈阳工业大学,沈阳110023 [2]大连理工大学,大连116024

出　　处：《计算物理》2011年第6期835-842,共8页Chinese Journal of Computational Physics

基　　金：Supported by Liaoning Natural Science Foundation(Grant No.20092051);Scientific and Technologic Research Project of Educational Department of Liaoning Province(Grant No.L2010388)

摘　　要：针对磁场与流场耦合问题的数值分析,提出并证明求解离散化过程所得到的非线性方程组牛顿-拉夫逊方法的一类局部收敛性条件.这一条件不仅给出了时间步长与空间步长、拟压缩因子等之间的关系,而且为数值求解磁场与流场耦合问题的牛顿-拉夫逊方法收敛性提供了理论依据.数值算例表明时间步长的实际取值要比理论值偏大.A local convergence condition of Newton-Laphson＇s method in solving discretization nonlinear equations of coupled problems is shown and proved.It gives out relation among time-step and space-step and quasi-compression factor.And it provides theoretically an assurance for convergence of Newton-Laphson＇s method within numerical analysis.Numerical example shows that the time-step in actual calculating can be greater than theoretical value slightly.

关 键 词：耦合问题 磁场与流场 有限体积法 局部收敛 Newton-Laphson方法 

分 类 号：O35[理学—流体力学] O241.8[理学—力学]