| |
 |
UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:58 |
 |
|
|
|
Conference: Bucharest University Faculty of Physics 2018 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Two numerical methods of solving the lifting line equation for nonplanar wings of high aspect ratio
Authors:
Adrian STOICA
Affiliation:
University of Bucharest, Faculty of Physics, P. O. Box MG-11, Bucharest-Magurele, Romania
E-mail
adst21@yahoo.com
Keywords:
nonplanar wing, hypersingular integral equations, Gauss type quadrature
Abstract:
The lifting line equation for nonplanar wings of high aspect ratio is a hypersingular integral equation. Using a Gauss type quadrature, we propose two numerical methods of solving. For one of them we obtain a numerical scheme for which the convergence is proved in the literature. The methods are tested in the case of the arched wings with quasi-elliptic distribution of the chord for which the exact solution is known. The limit case when the arc is quasi-closed is considered, too.
References:
1.S. Prossdorf, B. Silbermann, Numerical analysis for integral and related operator equations, Akademie Verlag 1990
2. G. losilevskii, Lifting line theory of an arched wing in asymmetric flight, Journal of Aircraft, 33, 1023-1026 (1996)
3. L. Demasi, A. Dipace, G. Monegato, R. Cavallaro, Invariant formulation for the minimum induced drag conditions of nonplanar wing systems, AIAA Journal, 52, 2223-2240 (2014)
|
|
|
|