Premium
Computation of three‐dimensional transonic flows using two stream functions
Author(s) -
Sherif A.,
Hafez M.
Publication year - 1988
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.1650080103
Subject(s) - transonic , computation , stream function , mathematics , convergence (economics) , computational fluid dynamics , flow (mathematics) , iterative method , relaxation (psychology) , potential flow , mathematical optimization , algorithm , mathematical analysis , geometry , aerodynamics , mechanics , physics , psychology , vorticity , social psychology , vortex , economics , economic growth
Abstract A computational method for three‐dimensional flows is presented in terms of two stream functions, which may be considered as two components of a generalized vector potential. An iterative scheme is developed such that only a sequence of two‐dimensional‐like problems, for each function, is solved. The convergence of the iterative scheme is studied based on von Neumann linear analysis. For transonic flow calculation, numerical methods used for potential flows are readily applied, namely artificial density and Zebra relaxation. Results of transonic flow calculations around a wing are presented.