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

Author(s):

Mitra Vizheh , SyaedHodjatollah Momeni Masuleh * , Alaeddin Malek

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

Optimal Control Problems , Navier-Stokes equations , PDE-constrained optimization , quasi-Newton algorithm , Finite difference

Language:
English
Published:
Computational Methods for Differential Equations, Volume:3 Issue: 2, Spring 2015
Pages:
87 to 98
https://www.magiran.com/p2105292  
سامانه نویسندگان
  • Momeni Masuleh، Sayed Hodjatollah
    Corresponding Author (2)
    Momeni Masuleh, Sayed Hodjatollah
    Associate Professor Mathematics, Shahed University, Tehran, Iran
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