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Extension of a simplified Baldwin–Lomax model to nonequilibrium turbulence: Model, analysis and algorithms
Author(s) -
Rong Yao,
Layton William,
Zhao Haiyun
Publication year - 2019
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22380
Subject(s) - turbulence modeling , discretization , turbulence , mathematics , non equilibrium thermodynamics , k omega turbulence model , k epsilon turbulence model , statistical physics , lomax distribution , extension (predicate logic) , mathematical analysis , physics , mathematical optimization , mechanics , computer science , pareto principle , thermodynamics , programming language
Complex turbulence not at statistical equilibrium is impossible to simulate using eddy viscosity models due to a backscatter. This research presents the way to correct the Baldwin–Lomax model for nonequilibrium effects and gives an analysis of the energy evolution in the corrected model. Furthermore, a finite element approximation of the corrected eddy model with first‐order and second‐order time discretization is also presented. A numerical test is given to support the theory.