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Title: Bodies of maximal aerodynamic resistance on the plane
Authors: Plakhov, Alexander
Gouveia, Paulo D.F.
Keywords: Bodies of maximal resistance
Shape optimization
Numerical simulation
Newton-like aerodynamic problem
Issue Date: 2007
Publisher: Universidade de Aveiro
Citation: Plakhov, Alexander; Gouveia, Paulo D.F. (2007) - Bodies of maximal aerodynamic resistance on the plane. Cadernos de Matemática. CM07/I-12 (2007)
Series/Report no.: CM07/I-12;
Abstract: A two-dimensional body moves through a rarefied medium; the collisions of the medium particles with the body are absolutely elastic. The body performs both translational and slow rotational motion. It is required to select the body, from a given class of bodies, such that the average force of resistance of the medium to its motion is maximal. There are presented numerical and analytical results concerning this problem. In particular, the maximum resistance in the class of bodies contained in a convex body K is proved to be 1.5 times resistance of K. The maximum is attained on a sequence of bodies with very complicated boundary. The numerical study was made for somewhat more restricted classes of bodies. The obtained values of resistance are slightly lower, but the boundary of obtained bodies is much simpler, as compared to the analytical solutions.
Appears in Collections:IC - Relatórios Técnicos/Científicos

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