Optimal Control and Optimization of Viscous, Incompressible Flows

Gunzburger, Max; Hou, Lihong; Svobodny, Thomas P.

doi:10.1017/cbo9780511574856.006

Cited by 19 publications

(17 citation statements)

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“…For more comprehensive reviews of computational methods for incompressible flow in general, readers are referred to these materials, i.e. : Roach [3]; Peyret and Taylor [4]; Hirsch [5]; Kwak [6]; Gunzburger and Nicolades [7]; Hafez and Oshima [8]; Gresho and Sani [9]; and Hafez [lo]. These books and articles provide fairly extensive formulations, numerical methods, and solutions to fundamental fluid dynamic problems.…”

Section: Introductionmentioning

confidence: 99%

Computational challenges of viscous incompressible flows

2005

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Over the past thirty years, numerical methods and simulation tools for incompressible flows have been advanced as a subset of the computational fluid dynamics (CFD) discipline. Although incompressible flows are encountered in many areas of engineering, simulation of compressible flow has been the major driver for developing computational algorithms and tools. This is probably due to the rather stringent requirements for predicting aerodynamic performance characteristics of flight vehicles, while flow devices involving low-speed or incompressible flow could be reasonably well designed without resorting to accurate numerical simulations. As flow devices are required to be more sophisticated and highly erXcienf CFD took become increasingly important in fluid engineering for incompressible and low-speed flow. This paper reviews some of the successes made possible by advances in computational technologies dunng the same period, ana discusses some of &e current challenges faced in computing incompressible flows.

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Section: Introductionmentioning

confidence: 99%

Computational challenges of viscous incompressible flows

2005

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“…are referred to these materials, i.e. Roach and Nicolades [7], Hafez and Oshima [8], Gresho and Sani [9] and Hafez [lo]. In these books and articles, formulations, numerical methods and solutions to fundamental fluid dynamic problems are presented fairly extensively.…”

Section: Introductionmentioning

confidence: 99%

Successes and Challenges of Incompressible Flow Simulation

Kwak

Kiris

2003

16th AIAA Computational Fluid Dynamics Conference

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During the past thirty years, numerical methods and simulation tools for incompressible flows have been advanced as a subset of CFD discipline. Even though incompressible flows are encountered in many areas of engineering, simulation of compressible flow has been the major driver for developing computational algorithms and tools. This is probably due to rather stringent requirements for predicting aerodynamic performance characteristics of flight vehicles, while flow devices involving low speed or incompressible flow could be reasonably well designed without resorting to accurate numerical simulations. As flow devices are required to be more sophisticated and highly efficient, CFD tools become indispensable in fluid engineering for incompressible and low speed flow. This paper is intended to review some of the successes made possible by advances in computational technologies during the same period, and discuss some of the current challenges.

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“…See, e.g., the collections and reviews [7,10,11]. The coupling of accurate computational fluid dynamics analyses with optimal control theory holds the promise for modifying a wide-range of fluid flows to achieve enhancement of desirable flow characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…Optimal control problems have been studied mathematically and numerically for steady and unsteady incompressible Navier-Stokes flow. The references [1,2,5,11,12] present a small sample of the work in this area. Compressible steady state Euler equations and Navier-Stokes equations have been used in the context of optimal design, see, e.g., [3,14,15,16,21].…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Optimal Control Problems Governed by the Compressible Navier-Stokes Equations

Collis

Ghayour

Heinkenschloss

et al. 2001

Optimal Control of Complex Structures

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Abstract. Theoretical and practical issues arising in optimal boundary control of the unsteady two-dimensional compressible Navier-Stokes equations are discussed. Assuming a sufficiently smooth state, formal adjoint and gradient equations are derived. For a vortex rebound model problem wall normal suction and blowing is used to minimize cost functionals of interest, here the kinetic energy at the final time.

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Optimal Control and Optimization of Viscous, Incompressible Flows

Cited by 19 publications

References 0 publications

Computational challenges of viscous incompressible flows

Computational challenges of viscous incompressible flows

Successes and Challenges of Incompressible Flow Simulation

Numerical Solution of Optimal Control Problems Governed by the Compressible Navier-Stokes Equations

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