Numerical Method for Optimum Motion of Undulatory Swimming Plate in Fluid Flow

QIAN Qin-jian; SUN De-jun

doi:10.3879/j.issn.1000-0887.2011.03.008

Volume 32 Issue 3

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QIAN Qin-jian, SUN De-jun. Numerical Method for Optimum Motion of Undulatory Swimming Plate in Fluid Flow[J]. Applied Mathematics and Mechanics, 2011, 32(3): 324-332. doi: 10.3879/j.issn.1000-0887.2011.03.008

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Numerical Method for Optimum Motion of Undulatory Swimming Plate in Fluid Flow

doi: 10.3879/j.issn.1000-0887.2011.03.008

Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, P. R. China

Received Date: 2010-11-20
Rev Recd Date: 2011-01-19
Publish Date: 2011-03-15

Abstract

Abstract

A numerical method for optimum motion of an undulatory swimming plate was presented.The optimal problem was stated as minimizing the power input under the condition of fixed thrust.The problem was singular for the invisible modes and the commonly used Lagrange method may not predict an optimum solution but just a saddle point.To eliminate the singularity,an additional amplitude inequality constraint was added to the problem.A numerical optimization code with a sequential quadratic programming method was used to solve the problem.The method was applied to several cases of two-dimensional and three-dimensional undulatory plates' motions and the optimum results were obtained.
- undulating plate,
- optimization,
- panel method,
- sequential quadratic programming

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References(17)

References

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