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Treatment of vortex sheets for the transonic full‐potential equation
Author(s) -
Dang T. Q.
Publication year - 1993
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.1650160903
Subject(s) - transonic , vortex , inviscid flow , vortex sheet , vorticity , burgers vortex , computational fluid dynamics , mechanics , classical mechanics , potential flow , rotational symmetry , stream function , classification of discontinuities , flow (mathematics) , boundary value problem , physics , mathematics , mathematical analysis , aerodynamics
This paper summarizes a combined analytical‐computational technique which models vortex sheets in transonic potential‐flow methods. In this approach, the inviscid nature of discontinuities across vortex sheets is preserved by employing the step function to remove singularities at these surfaces. The location and strength of the vortex sheets are determined by satisfying the flow‐tangency boundary condition and the vorticity transport equation. The theory is formulated for the general three‐dimensional case, but its application is confined to the problem of computing slipstreams behind propellers with free‐vortex blading in axisymmetric flows.