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Analysis of plane and axisymmetric flows of incompressible fluids with the stream tube method: Numerical simulation by trust‐region optimization algorithm
Author(s) -
Clermont J. R.,
De La Lande M. E.,
Dinh T. Pham,
Yassine A.
Publication year - 1991
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.1650130308
Subject(s) - streamlines, streaklines, and pathlines , rotational symmetry , compressibility , vortex , domain (mathematical analysis) , mathematics , plane (geometry) , computational fluid dynamics , mathematical optimization , algorithm , geometry , mechanics , mathematical analysis , physics
New concepts for the study of incompressible plane or axisymmetric flows are analysed by the stream tube method. Flows without eddies and pure vortex flows are considered in a transformed domain where the mapped streamlines are rectilinear or circular. The transformation between the physical domain and the computational domain is an unknown of the problem. In order to solve the non‐linear set of relevant equations, we present a new algorithm based on a trust region technique which is effective for non‐convex optimization problems. Experimental results show that the new algorithm is more robust compared to the Newton‐Raphson method.