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Optimization with the time-dependent Navier-Stokes equations as constraints | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 3، شماره 2، تیر 2015، صفحه 87-98 اصل مقاله (350.93 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Mitra Vizheh1؛ Syaed Hodjatollah Momeni-Masuleh* 1؛ Alaeddin Malek2 | ||
| 1Department of Mathematics, Shahed University, Tehran, P.O. Box: 18151-159, Iran | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, P.O. Box: 14115-134, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Optimal Control Problems؛ Navier-Stokes equations؛ PDE-constrained optimization؛ quasi-Newton algorithm؛ Finite difference | ||
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