水气二相流方程的一种离散数值解法  

A discrete numerical method for solving two-phase air-water flow equations

作　　者：奚成刚[1] 陈家军[2] 许兆义[1] 

机构地区：[1]北方交通大学土建学院,北京100044 [2]北京师范大学环境科学研究所,北京100875

出　　处：《水科学进展》2002年第3期287-291,共5页Advances in Water Science

基　　金：高等学校博士学科点专项科研基金 ( 980 0 2 71 2 )~~

摘　　要：提出了水气二相流方程的一种数值解法。在利用有限元方法求解水气二相流方程时 ,引入了离散Newton迭代方法 ,用于非线性有限元方程组的线性化处理 ,将这一步计算的收敛阶由原有研究的线性收敛提高到平方收敛 ,并避免了直接应用Newton迭代方法给编程带来的不便。同时在求解两相的有限元方程组时 ,采用两相方程组并行迭代的方法 ,与联立计算相比节省了大量的内存空间。A new numerical method for solving two phase air water flow equations is developed The two phase air water equations are solved with a finite element method A discrete Newton iterative method is adopted to linearize the non linear finite element equations after temporal and spatial discretion, it not only converges faster than the other methods, but also avoids the difficulties on programming The mean of paralleling is adopted to solve the two phase finite element equations, reducing much EMS memory needed in calculation by integrating means

关 键 词：非饱和带 水气二相流方程 离散Newton迭代方法 并行迭代 

分 类 号：P641.131[天文地球—地质矿产勘探]