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Finite element analysis of perturbed compressible flow
Author(s) -
Leonard John W.
Publication year - 1972
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620040113
Subject(s) - finite element method , mathematics , galerkin method , extended finite element method , mixed finite element method , mathematical analysis , finite element limit analysis , smoothed finite element method , compressible flow , compressibility , flow (mathematics) , spectral element method , geometry , mechanics , boundary knot method , physics , boundary element method , thermodynamics
The finite element representation of the linearized equations governing the steady compressible flow of an isentropic perfect gas is considered. The fully non‐linear system of equations is linearized on the basis of small perturbation theory. The finite element matrix equations for an arbitrary polygonal element are generated by the method of weighted residuals: Galerkin's criterion is used. As an example, a triangular element in two‐dimensional flow is treated in detail and numerical result for a sample problem are given.