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Multiscale Methods in Computational Mechanics
Author(s) -
Belytschko Ted,
de Borst René
Publication year - 2010
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.3013
Subject(s) - computational mechanics , homogenization (climate) , computer science , multiscale modeling , finite element method , computational model , computational science and engineering , computational science , variety (cybernetics) , field (mathematics) , science and engineering , computational simulation , data science , management science , artificial intelligence , engineering , mathematics , engineering ethics , bioinformatics , structural engineering , biodiversity , ecology , pure mathematics , biology
We present an apercu of our variational multiscale theory of LES turbulence. The theory is succinctly summarized in terms of a finite-dimensional coarse-scale equation governing the resolved scales that depend parametrically upon unresolved fine scales, which in turn are defined in terms of a functional of the coarse-scale residual “lifted” to the dual of the fine-scale space, and the coarse-scale velocity field itself. We illustrate the performance of a numerical implementation of the theory with calculations of a turbulent channel flow at a friction-velocity Reynolds number of 395 and comparisons with the DNS data.
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