A comparison of optimization and search methods for multidisciplinary design

Frank, Paul D.; Booker, Andrew J.; Caudell, Thomas P.; Healy, M. J. R.

doi:10.2514/6.1992-4827

Cited by 36 publications

(16 citation statements)

References 13 publications

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“…The ow eld is calculated by numerically solving the full NS equations in Eq. (2). A structured grid of 101 £ 40 grids with clustered grids near the nozzle wall surface is used for the CFD analysis.…”

Section: Design Case 3: Axisymmetric Nozzle Design Amentioning

confidence: 99%

“…1 In view of the enormous costs associatedwith computing the objectivefunction using stochastic optimization methods, deterministic optimization methods based on the gradient-based methods and sensitivity analysishave been favoredby many researchers,such as Frank et al 2 However, whereas deterministic methods allow the generation of an improved design, these methods do not always lead to a global optimum and often restrict the design space to conventional designs. In the traditional deterministic gradient-based methods, the design is updated iteratively in the direction of the steepest descent from the initial design guess (the hill-climbing strategy).…”

Section: Introductionmentioning

confidence: 99%

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Aerodynamic Shape Optimization Using Computational Fluid Dynamics and Parallel Simulated Annealing Algorithms

Wang

Damodaran

2001

AIAA Journal

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Aerodynamic shape design using stochastic optimization methods, such as simulated annealing method to optimize objective functions evaluated by modern state-of-the-art computational uid dynamics solvers, normally requires enormous computation time to search for the global optimal design. Aerodynamic shape optimization of internal ow systems is studied using Euler/Navier-Stokes solvers and parallel simulated annealing algorithm, which is implemented on parallel computing platforms. A variety of inverse and direct design of internal ow systems are carried out to examine the ef ciency and speedup of the parallel simulated annealing algorithms. The results demonstrate that parallel simulated annealing can be a feasible global optimizer for aerodynamic shape design resulting in considerable reductions in wall-clock time on multiple processors.

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Section: Design Case 3: Axisymmetric Nozzle Design Amentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Aerodynamic Shape Optimization Using Computational Fluid Dynamics and Parallel Simulated Annealing Algorithms

Wang

Damodaran

2001

AIAA Journal

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“…Global minima should be determined for eigenmodes with two or more nodal surfaces. Finding a global function minimum is more difficult, although methods suitable for computer implementation have been investigated by Frank (1991). The methods concentrate on implementing efficient search strategies within the domain, usually initiated with a randomly selected array of trial starting locations.…”

Section: Future Refinementsmentioning

confidence: 99%

Noise Source Location Optimization

O'Keefe

Graves

1994

Shock and Vibration

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Noise Source Location OptimizationThis article describes a method to determine locations of noise sources that minimize modal coupling in complex acoustic volumes. Using the acoustic source scattering capabilities of the boundary element method, predictions are made of mode shape and pressure levels due to various source locations. Combining knowledge of the pressure field with a multivariable function minimization technique, the source location generating minimum pressure levels can be determined. The analysis also allows for an objective comparison of "best/worst" locations. The technique was implemented on a personal computer for the U.s. Space Station, predicting 5-10 dB noise reduction using optimum source locations.

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“…Local optimization strategies, such as gradient-based algorithms, have been widely applied to engineering system designs. 1,2 Although the number of design iterations required by local optimizers can be small, a major shortcoming of local optimizers is that they may get trapped in local optima. Although the performance of local optimizers can be enhanced by sensitivity analysis, such as that given in Ref.…”

Section: Introductionmentioning

confidence: 99%