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Classical free-streamline flow over a polygonal obstacleIn classical Kirchhoff flow, an ideal incompressible fluid flows past an obstacle and around a motionless wake bounded by free streamlines. Since 1869 it has been known that in principle, the two-dimensional Kirchhoff flow over a polygonal obstacle can be determined by constructing a conformal map onto a polygon in the log-hodograph plane. In practice, however, this idea has rarely been put to use except for very simple obstacles, because the conformal mapping problem has been too difficult. This paper presents a practical method for computing flows over arbitrary polygonal obstacles to high accuracy in a few seconds of computer time. We achieve this high speed and flexibility by working with a modified Schwarz-Christoffel integral that maps onto the flow region directly rather than onto the log-hodograph polygon. This integral and its associated parameter problem are treated numerically by methods developed earlier by Trefethen for standard Schwarz-Christoffel maps.
Document ID
19860036181
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Elcrat, A. R.
(Wichita State University KS, United States)
Trefethen, L. N.
(MIT Cambridge, MA, United States)
Date Acquired
August 12, 2013
Publication Date
February 1, 1986
Publication Information
Publication: Journal of Computational and Applied Mathematics
Volume: 14
ISSN: 0377-0427
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
86A20919
Funding Number(s)
CONTRACT_GRANT: DE-AC02-76ER-03077-V
CONTRACT_GRANT: NAS1-17070
Distribution Limits
Public
Copyright
Other

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