Optimization with the time-dependent Navier-Stokes equations as constraints
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-3-2_002
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
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.
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Authors
Mitra Vizheh
Department of Mathematics, Shahed University, Tehran, P.O. Box: ۱۸۱۵۱-۱۵۹, Iran
Syaed Hodjatollah Momeni-Masuleh
Department of Mathematics, Shahed University, Tehran, P.O. Box: ۱۸۱۵۱-۱۵۹, Iran
Alaeddin Malek
Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, P.O. Box: ۱۴۱۱۵-۱۳۴, Iran