Extension of a simplified Baldwin–Lomax model to nonequilibrium turbulence: Model, analysis and algorithms | Zendy

Rong Yao | Zendy; Layton William | Zendy; Zhao Haiyun | Zendy

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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.

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