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Three‐dimensional adaptive finite element computations and applications to non‐Newtonian fluids
Author(s) -
Dannelongue H. H.,
Tanguy P. A.
Publication year - 1991
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.1650130203
Subject(s) - finite element method , non newtonian fluid , computation , newtonian fluid , computational fluid dynamics , computer science , mathematics , extended finite element method , mixed finite element method , mechanics , generalized newtonian fluid , classical mechanics , computational science , calculus (dental) , mathematical optimization , physics , algorithm , rheology , medicine , thermodynamics , shear rate , dentistry
An adaptive strategy for the finite element solution of three‐dimensional viscous flow problems is defined and implemented. The solution strategy is based on an advancing front mesh generator making use of binary data structures for fast geometrical data handling. The error is estimated a posteriori with a residual‐type bound. The error estimate is shown to exhibit proper convergence for tetrahedral elements. Its combination with the mesh generator and an interpolation scheme for unstructured meshes is shown to generate adaptive meshes and to reduce the solution cost for a given error level, as illustrated by the isothermal flow of a shear‐thinning fluid.