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Chakib, A.; Nachaoui, A.

Nonlinear programming approach for a transient free boundary flow problem. (English) Zbl 1299.76034

Appl. Math. Comput. 160, No. 2, 317-328 (2005).
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 [the first author et al., C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 12, 1005–1010 (2000; Zbl 1010.76021)]. 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.

Cited in 2 Documents

MSC:

76B75 Flow control and optimization for incompressible inviscid fluids
76S05 Flows in porous media; filtration; seepage
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76M15 Boundary element methods applied to problems in fluid mechanics
90C30 Nonlinear programming

Keywords:

transient flow; porous media; free boundary; shape optimization; boundary element; nonlinear mathematical programming

Citations:

Zbl 1010.76021
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Full Text: DOI

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.