Optimal Control in Navier-Stokes Equations
- 1 June 1998
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computational Fluid Dynamics
- Vol. 9 (3-4) , 313-322
- https://doi.org/10.1080/10618569808940862
Abstract
This paper presents a formulation for optimal control of a forced convection flow. The state equation that governs the forced convection flow can be expressed as the incompressible Navier-Stokes equations and energy equation. The optimal control can be formulated as finding a control force to minimize a performance function that is defined to evaluate a control object. The stabilized finite element method is used for the spatial discretization, while the Crank-Nicolson scheme is used for the temporal discretization. The Sakawa-Shindo method, which is an iterative procedure, is applied for minimizing the performance function.Keywords
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