Advances in Differential Equations and Control Processes
Volume 19, Issue 3, Pages 179 - 190
(August 2018) http://dx.doi.org/10.17654/DE019030179 |
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PROBLEMS OF DETERMINATION OF THE OPTIMAL FORM OF A GROUND EFFECT WING OF FINITE SPAN BY ANALYTICAL AND NUMERICAL METHODS
M. V. Skorobogatova, L. V. Arshinsky, A. V. Daneev, S. I. Noskov and V. N. Sizykh
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Abstract: The paper deals with mathematical problems of optimizing the shape of a ground effect wing of a finite span moving near the support surface in a steady flow of an ideal incompressible fluid with moderate perturbations. In addition to the complexity of the original nonlinear formulations, these problems are characterized by the excess of boundary conditions imposed on extremals. As a result, it becomes necessary to replace the Euler equation of the necessary extremum condition by a more general Euler-Panchenkov equation that takes into account additional boundary conditions, or use numerical optimization methods. The Euler-Panchenkov equation forms an extremal boundary layer near the singular points that contain excess boundary conditions. |
Keywords and phrases: ground effect wings, optimization, nonlinear problems of aerodynamics, moderate perturbations, variational calculus, Euler-Panchenkov equation, Ritz method. |
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