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Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier‐Stokes equations
Author(s) -
Hughes Thomas J. R.
Publication year - 1987
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.1650071108
Subject(s) - euler equations , compressibility , classification of discontinuities , euler's formula , scalar (mathematics) , compressible flow , mathematics , mathematical analysis , physics , geometry , mechanics
SUPG methods were originally developed for the scalar advection‐diffusion equation and the incompressible Navier‐Stokes equations. In the last few years successful extensions have been made to symmetric advective‐diffusive systems and, in particular, the compressible Euler and Navier‐Stokes equations. New procedures have been introduced to improve resolution of discontinuities and thin layers. In this paper a brief overview is presented of recent progress in the development and understanding of SUPG methods.