Optimal flow control based on POD and MPC and an application to the cancellation of Tollmien–Schlichting waves
DOI10.1080/10556788.2013.858157zbMath1301.49078OpenAlexW2032416181MaRDI QIDQ2926070
Jane Ghiglieri, Stefan Ulbrich
Publication date: 29 October 2014
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2013.858157
Navier-Stokes equationserror estimatesproper orthogonal decompositionmodel reductionmodel predictive controlflow control
Numerical mathematical programming methods (65K05) Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Decomposition methods (49M27) Flow control and optimization for incompressible viscous fluids (76D55)
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Cites Work
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- Control of Tollmien-Schlichting instabilities by finite distributed wall actuation
- Nonlinear model predictive control. Theory and algorithms.
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Instantaneous control of backward-facing step flows
- Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
- Control of flow separation over a forward-facing step by model reduction.
- Constrained optimal control of Navier--Stokes flow by semismooth Newton methods
- Optimal Control of a Phase-Field Model Using Proper Orthogonal Decomposition
- DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms
- A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Optimization with PDE Constraints
- A Conforming Finite Element Method for the Time-Dependent Navier–Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- On suboptimal control strategies for the Navier-Stokes equations
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- A reduced-order approach for optimal control of fluids using proper orthogonal decomposition
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- A Limited Memory Algorithm for Bound Constrained Optimization
- Proper orthogonal decomposition for optimality systems
- Reduced-order adaptive controllers for fluid flows using POD
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