A fast numerical algorithm for a basic dual integral equation of the flapping wing in a flow of non-viscous incompressible fluid

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:344

Article

Popuzin, V. V.¹  Sumbatyan, M. A.¹  Tarasov, A. E.¹ 

[1] Southern Fed Univ, Inst Math Mech & Comp Sci, Milchakova St 8a, Rostov Na Donu 344090, Russia

关键词: Flapping wing;    Dual integral equation;    Numerical algorithm;    Toeplitz blocks;    Conjugate gradients;    Bi-conjugate gradients;   

DOI  :  10.1016/j.cam.2018.05.054

来源: Elsevier

【 摘 要 】

The present paper proposes a new approach to the classical problem of the harmonic oscillations of a thin wing in a flow of non-viscous incompressible fluid. The problem is reduced to a dual integral equation, permitting application of numerical methods. The numerical experiments are performed by using some advanced fast non-stationary iterative methods, with the help of the two-dimensional Fast Fourier Transform. There is given a brief survey on the iterative methods, to evaluate the most efficient algorithms in application to the considered problem of the flapping wing theory. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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