A Numerical Approach to the Control and Stabilization of Advection-Diffusion Systems: Application to Viscous Drag Reduction

DOI10.1080/10618569808940869zbMath0938.76024OpenAlexW1986752406MaRDI QIDQ4248833

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Publication date: 21 June 2000

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618569808940869

zbMATH Keywords

controlNavier-Stokes equationsstabilizationfinite element methodsfinite difference methodsconjugate gradient methodsadjoint equationsDirichlet boundary controlpenaltyBFGS algorithmsclosed loop methodsopen loop control methodsparabolic equations of advection-reaction-diffusion type

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Variational methods applied to problems in fluid mechanics (76M30) Existence theories for optimal control problems involving partial differential equations (49J20) Diffusion and convection (76R99) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (3)

Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems ⋮ Control problems for convection-diffusion equations with control localized on manifolds ⋮ Active control and drag optimization for flow past a circular cylinder. I: Oscillatory cylinder rotation

Uses Software

• L-BFGS

Cites Work

• Unnamed Item
• On the limited memory BFGS method for large scale optimization
• On exact and approximate boundary controllabilities for the heat equation: A numerical approach
• Neumann control of unstable parabolic systems: Numerical approach
• A Computational Approach to Controllability Issues for Flow-Related Models. (I): Pointwise Control of the Viscous Burgers Equation

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