Optimum Shape Design of Helicopter Rotors via Control Theory

Tatossian, Charles; Nadarajah, Siva

doi:10.2514/6.2007-3951

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…In particular the use of adjoint methods, which has been pioneered by Jameson (1995) for steady aeronautical design optimization, has proved to be very beneficial since its cost is independent of the number of design variables. However, a much smaller amount of work has been done in applying these methods to unsteady optimization problems Duta et al 2002;Tatossian and Nadarajah 2007;Mani and Mavriplis 2007), and many devices of interest, such as helicopter rotors and turbomachinery blades, operate in unsteady flow environments.…”

Section: Introductionmentioning

confidence: 99%

The optimal control of unsteady flows with a discrete adjoint method

Rumpfkeil

Zingg

2008

Optim Eng

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This paper presents a general framework to derive a discrete adjoint method for the optimal control of unsteady flows. The complete formulation of a generic time-dependent optimal design problem is introduced and it is outlined how to derive the discrete set of adjoint equations in a general approach. Results are shown that demonstrate the application of the theory to the drag minimization of viscous flow around a rotating cylinder, and to the remote inverse design of laminar flow around the multi-element NLR 7301 configuration at a high angle of attack. In order to reduce the considerable computational costs of unsteady optimization, the use of bigger time steps over transitional or unphysical adjusting periods as well as omitting time steps while recording the flow solution are investigated and are shown to work well in practice.

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Section: Introductionmentioning

confidence: 99%

The optimal control of unsteady flows with a discrete adjoint method

Rumpfkeil

Zingg

2008

Optim Eng

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“…Vu et al [4] made use of the SQP (sequence quadratic program) method and the Kriging surrogate model to optimize the rotor blade airfoil in a hovering state. Tatossian et al [5] conducted rotor airfoil optimization based on the NACA23013 airfoil via control theory under forward flight state, and the results proved to be beneficial. Yu et al [6] conducted dynamic stall optimization on the rotor airfoil via a differential evolution algorithm and the Kriging surrogate model and compared the optimized results by the differential evolution algorithm with those by the adjoint method.…”

Section: Introductionmentioning

confidence: 99%

An Improved Multi-Objective Particle Swarm Optimization Method for Rotor Airfoil Design

Wu,

Sun,

Tao

2023

Aerospace

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In this study, a multi-objective aerodynamic optimization is performed on the rotor airfoil via an improved MOPSO (multi-objective particle swarm optimization) method. A database of rotor airfoils containing both geometric and aerodynamic parameters is established, where the geometric parameters are obtained via the CST (class shape transformation) method and the aerodynamic parameters are obtained via CFD (computational fluid dynamics) simulations. On the basis of the database, a DBN (deep belief network) surrogate model is proposed and trained to accurately predict the aerodynamic parameters of the rotor airfoils. In order to improve the convergence rate and global searching ability of the standard MOPSO algorithm, an improved MOPSO framework is established. By embedding the DBN surrogate model into the improved MOPSO framework, multi-objective and multi-constraint aerodynamic optimization for the rotor airfoil is performed. Finally, the aerodynamic performance of the optimized rotor airfoil is validated through CFD simulations. The results indicate that the aerodynamic performance of the optimized rotor airfoil is improved dramatically compared with the baseline rotor airfoil.

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A Modified AUSM+-up Scheme for Simulation of Flow Around Rotary Blades

Song

Han

et al. 2014

52nd Aerospace Sciences Meeting

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Optimum Shape Design of Helicopter Rotors via Control Theory

Cited by 3 publications

References 9 publications

The optimal control of unsteady flows with a discrete adjoint method

The optimal control of unsteady flows with a discrete adjoint method

An Improved Multi-Objective Particle Swarm Optimization Method for Rotor Airfoil Design

A Modified AUSM+-up Scheme for Simulation of Flow Around Rotary Blades

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