A Full Discrete Stabilized Method for the Optimal Control of the Unsteady Navier-Stokes Equations

Authors

  • Yanmei Qin Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University, Neijiang 641002, China
  • Gang Chen School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
  • Minfu Feng School of Mathematics, Sichuan University, Chengdu 610064, Sichuan, China

DOI:

https://doi.org/10.4208/jcm.1703-m2016-0693

Keywords:

Optimal control, Unsteady Navier-Stokes equations, High Reynolds number, Full discrete, Local projection stabilization.

Abstract

In this paper, a full discrete local projection stabilized (LPS) method is proposed to solve the optimal control problems of the unsteady Navier-Stokes equations with equal order elements. Convective effects and pressure are both stabilized by using the LPS method. A priori error estimates uniformly with respect to the Reynolds number are obtained, providing the true solutions are sufficiently smooth. Numerical experiments are implemented to illustrate and confirm our theoretical analysis.

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Published

2018-09-17

Issue

Vol. 36 No. 5 (2018)

Section

Articles