Optimization with the time-dependent Navier-Stokes equations as constraints

mitra vijeh | Sayed Masuleh | Alaeddin Malik

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URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=31630
Date :  2016/02/03
Publish in :    Computational Methods for Differential Equations

Link :  http://cmde.tabrizu.ac.ir/article_4484_0de495e641081aae07a2b511ceceb9bf.pdf
Keywords :Optimization, time-dependent, equations

Abstract :

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In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the optimal control of the Navier-Stokes equations is proposed. Numerical examples are given to demonstrate the efficiency of the method.