NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Collections About News Help Login
Back to Results
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
19850001994
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Elcrat, A. R. (Wichita State Univ. Kansas, United States)
Trefethen, L. N. (Massachusetts Inst. of Tech.)
Date Acquired
September 5, 2013
Publication Date
September 1, 1984
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
ICASE-84-45
NASA-CR-172448
NAS 1.26:172448
Accession Number
85N10301
Funding Number(s)
CONTRACT_GRANT: NAS1-17070
PROJECT: RTOP 505-31-83-01
CONTRACT_GRANT: DE-AC02-76ER-03077-V
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Related Records

There are no records associated with this record.
No Preview Available