Properties and numerical solution of an integral equation system to minimize airplane drag for a multiwing system

Peter, Junghanns; Monegato, Giovanni; Luciano, Demasi

doi:10.1002/mma.6786

We consider an open multiwing system, composed of N  2 disjoint openplane curves, not necessarily symmetric, and examine the corresponding (con-strained) induced drag minimization problem. To this end, we first derive theassociated Euler-Lagrange system of equations, which is then reduced to anequivalent system of Cauchy singular integral equations. By generalizing a pre-vious approach of ours for the case of a single open wing, we obtain existenceand uniqueness results for the problem solution in a product of weighted Sobolevtype spaces. This system is then solved by applying to it a collocation-quadraturemethod. For this, we prove stability and derive corresponding error estimates.Finally, to test the efficiency of the proposed numerical method, we apply it tosome multiwing systems

Properties and numerical solution of an integral equation system to minimize airplane drag for a multiwing system / Junghanns, Peter; Monegato, Giovanni; Demasi, Luciano. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 1099-1476. - ELETTRONICO. - (2020), pp. 1-24. [10.1002/mma.6786]

Titolo:	Properties and numerical solution of an integral equation system to minimize airplane drag for a multiwing system
Autori:	Peter Junghanns MONEGATO, GIOVANNI Luciano Demasi mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2020
Rivista:	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Digital Object Identifier (DOI):	http://dx.doi.org/10.1002/mma.6786
Appare nelle tipologie:	1.1 Articolo in rivista

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http://hdl.handle.net/11583/2842718

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