Numerical method for nonlinear two-phase displacement problem and its application

• Published in: Applied mathematics and mechanics Vol. 29; no. 5; pp. 639 - 652
• Main Author: 彭益让 梁栋 芮洪兴 杜宁 王文洽
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.05.2008; Institute of Mathematics, Shandong University, Jinan 250100, P. R. China
• Subjects: Applications of Mathematics; Approximation; Classical Mechanics; Displacement; Estimates; Fluid- and Aerodynamics; Intrusion; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Nonlinearity; Optimization; Partial Differential Equations; 收敛性; 海水入侵; 逆风; 非线性连接; upwind fractional step; 65M25; convergence; seawater intrusion; adjusted; after-effect; 76S05; O241.82; 65M60; nonlinear coupled; 76M10
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-008-0508-x

For the three-dimensional nonlinear two-phase displacement problem, the modified upwind finite difference fractional steps schenles were put forward. Some techniques, such as calculus of variations, induction hypothesis, decomposition of high order difference operators, the theory of prior estimates and techniques were used. Optimal order estimates were derived for the error in the approximation solution. These methods have been successfully used to predict the consequences of seawater intrusion and protection projects.