Nonlinear programming approach for a transient free boundary flow problem

被引：8
|
作者：
Chakib, A
Nachaoui, A
机构：
[1] Univ Nantes, CNRS, Lab Matemat, UMR 6629, F-44322 Nantes, France
[2] Univ Cadi Ayyad, Dept Math Appl & Informat, FST Beni Mellal, Beni Mellal, Morocco
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 160卷 / 02期
关键词：
transient flow; porous media; free boundary; shape optimization; boundary element; nonlinear mathematical programming;
D O I：
10.1016/j.amc.2003.08.101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to a new numerical technique for the approximation of a free boundary transient flow problem. The stationary problem, obtained from a time discretization of the original transient problem, is formulated as a shape optimal design one [C.R. Acad. Sci., Paris, Ser. 1, Math. 331 (12) (2000) 1005]. The discretized optimal problem, obtained via boundary element discretization, is considered as nonlinear mathematical programming where the state of the system and the design variable are taken as independent variables. To solve this nonlinear mathematical programming we use the sequential quadratic programming (SQP). Numerical results for illustrative earth dam problems are discussed. (C) 2003 Elsevier Inc. All rights reserved.
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页码：317 / 328
页数：12
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