Boundary control of the Navier-Stokes equation by empirical reduction of modes

DOI10.1016/S0045-7825(99)00146-2zbMath0961.76018OpenAlexW1970257613MaRDI QIDQ1579587

N. Delaunay

Publication date: 28 May 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00146-2

zbMATH Keywords

Karhunen-Loève Galerkin procedureboundary optimal controlmultidimensional Navier-Stokes equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (11)

Control of Oscillations in Flow Problems Under Frequency Limitations ⋮ An efficient reduced-order model for low Mach number reacting flows using auxiliary variables ⋮ Empirical reduction of modes for the shape identification problems of heat conduction systems ⋮ A priori space-time separated representation for the reduced order modeling of low Reynolds number flows ⋮ A Karhunen-Loève least-squares technique for optimization of geometry of a blunt body in supersonic flow. ⋮ Control input separation by actuation mode expansion for flow control problems ⋮ Low-order dynamical model for low-Prandtl number fluid flow in a laterally heated cavity ⋮ Boundary optimal control of the Navier-Stokes equations--a numerical approach ⋮ Fast Bayesian approach for parameter estimation ⋮ Feedback control of natural convection ⋮ Reduction of modes for the solution of inverse natural convection problems

Cites Work

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• On some control problems in fluid mechanics
• Pseudospectral methods for solution of the incompressible Navier-Stokes equations
• An efficient computational method of boundary optimal control problems for the Burgers equation
• Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls
• Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction
• Function minimization by conjugate gradients

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