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An adaptive finite element method for transient compressible flows
Author(s) -
Probert J.,
Hassan O.,
Peraire J.,
Morgan K.
Publication year - 1991
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.1620320514
Subject(s) - finite element method , mesh generation , transient (computer programming) , compressibility , compressible flow , grid , adaptive mesh refinement , computer science , shock (circulatory) , domain (mathematical analysis) , mathematics , computational science , algorithm , mathematical optimization , mathematical analysis , geometry , mechanics , engineering , structural engineering , physics , medicine , operating system
An adaptive finite element method for the solution of time dependent strongly compressible flows in two dimensions is described. The computational domain is represented by an unstructured assembly of linear triangular elements and the mesh adaptation is achieved by local regeneration of the grid, using an error estimation procedure coupled to an automatic triangular mesh generator. Problems involving shock propagation are solved to illustrate the numerical performance of the proposed approach.