摘要
主要综述应用计算数学、渗流力学的数值方法和理论研究油田勘探开发中的数值模拟、核废料污染问题的数值方法、海水入侵的预测和防治,半导体瞬态问题的数值模拟.问题的数学模型是一类非线性耦合对流 扩散偏微分方程组的初边值问题.重点讨论特征差分方法、特征有限元法、分数步数值方法及其理论分析.
Numerical simulation in oil\|field exploration and exploitation with computational mathematics and dynamics of fluids in porous media is discussed. The numerical method of nuclear waste disposal contamination, prediction and prevention of sea\|water intrusion and the numerical simulation of transient behavior of semi\|conductor devices are also studied. The mathematical model is the nonlinear convection\|dominated diffusion coupled systems with initial\|boundary value problem. Characteristic finite difference method, characteristic finite element method, fractional step numerical method and its theoretical analysis are mainly dealed with.
出处
《计算物理》
CSCD
北大核心
2003年第4期283-290,共8页
Chinese Journal of Computational Physics
基金
国家重点基础研究发展规划(G1999032803)
国家攻关项目
国家自然科学基金(10271066
19972039)
教育部博士点基金资助项目
