Nonlinear programming approach for a transient free boundary flow problem

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. I, Math. 331 (1...

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Bibliographic Details
Published in:Applied mathematics and computation 2005-01, Vol.160 (2), p.317-328
Main Authors: Chakib, A., Nachaoui, A.
Format: Article
Language:English
Subjects:
Boundary element
Calculus of variations and optimal control
Exact sciences and technology
Free boundary
Mathematical analysis
Mathematics
Nonlinear mathematical programming
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming
Numerical methods in mathematical programming, optimization and calculus of variations
Partial differential equations
Porous media
Sciences and techniques of general use
Shape optimization
Transient flow
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Summary: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. I, 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2003.08.101