Premium
Three dimensional analysis of compressible potential flows with the finite element method
Author(s) -
Periaux J.
Publication year - 1975
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.1620090404
Subject(s) - finite element method , mathematics , computation , mathematical analysis , parametric statistics , extended finite element method , quadratic equation , conservative vector field , boundary value problem , mixed finite element method , compressibility , compressible flow , geometry , physics , mechanics , engineering , structural engineering , algorithm , statistics
Solutions of elliptic boundary value problems are obtained with variational formulations by minimization of functionals. Conventional tools of the finite element strategy are emphasized; linear or quadratic approximations on triangular elements, curved iso‐parametric elements, N i shape funtions, L i homogeneous co‐ordinates. High speed of computation of the final assembled matrices require the use of the Formal–FORMAC calculus. Illusrations of the finite element method are chosen in the class of the 2 d –3 d compressible subsonic irrotational flows in a nozzle and around one or several lifting bodies of arbitary shape.