ETNA - Electronic Transactions on Numerical Analysis
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Verlag der Österreichischen Akademie der Wissenschaften Austrian Academy of Sciences Press
A-1011 Wien, Dr. Ignaz Seipel-Platz 2
Tel. +43-1-515 81/DW 3420, Fax +43-1-515 81/DW 3400 https://verlag.oeaw.ac.at, e-mail: verlag@oeaw.ac.at |
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DATUM, UNTERSCHRIFT / DATE, SIGNATURE
BANK AUSTRIA CREDITANSTALT, WIEN (IBAN AT04 1100 0006 2280 0100, BIC BKAUATWW), DEUTSCHE BANK MÜNCHEN (IBAN DE16 7007 0024 0238 8270 00, BIC DEUTDEDBMUC)
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ETNA - Electronic Transactions on Numerical Analysis ISBN 978-3-7001-8258-0 Online Edition Research Article
T. DeLillo,
J. Mears,
S. Sahraei
S. 250 - 269 doi:10.1553/etna_vol59s250 Verlag der Österreichischen Akademie der Wissenschaften doi:10.1553/etna_vol59s250
Abstract: This paper describes a method to calculate the potential flow in domains in the complex plane exterior to a finite number of closed curves using conformal mapping. A series method is used to compute the potential flow over multiply connected circle domains. The flow is then mapped from the circle domain to the target physical domain by a method which approximates the Laurent series of the conformal map. The circulations around each boundary can be specified. For flow over multi-element airfoils, the circulations are computed to satisfy the Kutta condition at the trailing edges. The linear systems which are solved on the circle domain for both the potential flow and the conformal maps are of the form identity plus a low-rank matrix, allowing for the efficient use of conjugate-gradient-like methods. Keywords: Potential flow, numerical conformal mapping, multiply connected domains, series methods, airfoils, Kutta condition Published Online: 2024/01/09 08:10:31 Object Identifier: 0xc1aa5576 0x003ebe03 Rights: . Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new developments in numerical analysis and scientific computing. Papers of the highest quality that deal with the analysis of algorithms for the solution of continuous models and numerical linear algebra are appropriate for ETNA, as are papers of similar quality that discuss implementation and performance of such algorithms. New algorithms for current or new computer architectures are appropriate provided that they are numerically sound. However, the focus of the publication should be on the algorithm rather than on the architecture. The journal is published by the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM). Reviews of all ETNA papers appear in Mathematical Reviews and Zentralblatt für Mathematik. Reference information for ETNA papers also appears in the expanded Science Citation Index. ETNA is registered with the Library of Congress and has ISSN 1068-9613. …
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Verlag der Österreichischen Akademie der Wissenschaften Austrian Academy of Sciences Press
A-1011 Wien, Dr. Ignaz Seipel-Platz 2
Tel. +43-1-515 81/DW 3420, Fax +43-1-515 81/DW 3400 https://verlag.oeaw.ac.at, e-mail: verlag@oeaw.ac.at |