水气二相流方程的一种离散数值解法

基金项目: 高等学校博士学科点专项科研基金(98002712)

详细信息

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

1.
School of Civil Engineering & Architecture, Northern Jiaotong University, Beijing 100044, China;
2.
Institute of Environmental Sciences, Beijing Normal University, Beijing 100875, China

Funds: The project is supported by Doctor Fund of China(No.98002712).

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.
- 非饱和带 /
- 水气二相流方程 /
- 离散Newton迭代方法 /
- 并行迭代
Abstract: 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.
- unsaturated zone /
- two phase air water flow equations /
- discrete Newton iteration method /
- paralleling iteration

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