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Vortex surface method: some numerical problems of the potential calculation
Author(s) -
Belamri T.,
Bakir F.,
Kouidri S.,
Rey R.
Publication year - 2001
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.34
Subject(s) - discretization , trailing edge , computation , smoothing , vortex , transformation (genetics) , gravitational singularity , plane (geometry) , numerical analysis , flow (mathematics) , surface (topology) , potential flow , leading edge , enhanced data rates for gsm evolution , mathematics , geometry , mathematical analysis , computer science , algorithm , mechanics , physics , telecommunications , biochemistry , statistics , chemistry , gene
The singularities method is used to analyze the flow around an isolated profile or through a plane cascade. In this paper, a numerical study has been developed in order to discuss the accuracy of solutions. The aims of this study are summarized as follows: (1) to expose the elements that influence the method—precision in the geometrical profile definition, trailing‐edge geometry, smoothing problems, number of discretization points, precision of calculation, etc.; (2) to provide an accurate solution for these different problems. For example, some profiles, obtained by the Joukowski transformation, present, in spite of an analytical definition, a crossing of the suction and pressure sides at the trailing edge. This crossing causes a serious error in the velocity field computation. A new procedure to solve this problem is presented. Copyright © 2001 John Wiley & Sons, Ltd.