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Computation of 3D vortex flows past a flat plate at incidence through a variational approach of the full steady euler equations
Author(s) -
Bruneau CharlesHenri,
Laminie Jacques,
Chattot JeanJacques
Publication year - 1989
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.1650090306
Subject(s) - euler equations , euler's formula , linearization , mathematics , computation , vortex , mathematical analysis , backward euler method , vortex sheet , finite element method , supersonic speed , classical mechanics , mechanics , physics , nonlinear system , vorticity , algorithm , quantum mechanics , thermodynamics
A variational method for solving directly the full steady Euler equations is presented. This method is based on both Newton's linearization and a least squares formulation. The validity of the Euler model and boundary conditions to capture the vortex sheet is discussed. A finite element approximation of the groups of conservative variables is described and results are given for 3D subsonic flows as well as supersonic flows past a flat plate at high angle of attack.