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A finite element convergence study for accelerating flow problems
Author(s) -
Gartling D. K.,
Nickell R. E.,
Tanner R. I.
Publication year - 1977
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.1620110710
Subject(s) - convergence (economics) , finite element method , rate of convergence , flow (mathematics) , reynolds number , mathematics , radius , radius of convergence , channel (broadcasting) , mathematical optimization , mathematical analysis , mechanics , geometry , computer science , physics , thermodynamics , computer network , computer security , turbulence , economics , economic growth , power series
The convergence properties of several non‐linear solution procedures were examined with respect to the accelerated flow of a fluid in a converging channel (the Hamel problem), using two different finite element computer programs with different elemental construction. The Reynolds number varied from that for creeping flow to 1088 without exceeding the radius of convergence. Special attention was given to the successive substitution and Newton–Raphson solution algorithms, with a significant advantage in rate of convergence noted for the latter.