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A Treatment of wall boundaries for turbulent flows by the use of a transmission finite element method
Author(s) -
Manouzi H.,
Fortin M.
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.1620310107
Subject(s) - finite element method , hagen–poiseuille equation , turbulence , extended finite element method , mixed finite element method , domain decomposition methods , mathematics , law of the wall , flow (mathematics) , mechanics , boundary knot method , mathematical analysis , boundary element method , geometry , physics , reynolds number , thermodynamics
A method to connect momentum Navier‐Stokes equations with the universal law of the wall using the finite element method is developed for turbulent wall flows. This method is based on a domain decomposition of the fluid into subdomains near a solid boundary where the law of the wall is valid. A transmission formulation is introduced to match these regions and a new class of boundary finite element is used. This finite element takes into account the near‐wall profile of the velocity and the transmission conditions. Computational results are presented for Poiseuille flow and flow over a backward‐facing step.