Premium
Finite element implementation of two‐equation and algebraic stress turbulence models for steady incompressible flows
Author(s) -
Codina Ramon,
Soto Orlando
Publication year - 1999
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/(sici)1097-0363(19990615)30:3<309::aid-fld844>3.0.co;2-j
Subject(s) - discretization , finite element method , mathematics , linearization , discontinuity (linguistics) , turbulence , turbulence modeling , algebraic equation , temporal discretization , computational fluid dynamics , reynolds stress , incompressible flow , mathematical analysis , mechanics , physics , flow (mathematics) , geometry , nonlinear system , quantum mechanics , thermodynamics
The main purpose of this paper is to describe a finite element formulation for solving the equations for k and ε of the classical k –ε turbulence model, or any other two‐equation model. The finite element discretization is based on the SUPG method together with a discontinuity capturing technique to deal with sharp internal and boundary layers. The iterative strategy consists of several nested loops, the outermost being the linearization of the Navier–Stokes equations. The basic k –ε model is used for the implementation of an algebraic stress model that is able to account for the effects of rotation. Some numerical examples are presented in order to show the performance of the proposed scheme for simulating directly steady flows, without the need of reaching the steady state through a transient evolution. Copyright © 1999 John Wiley & Sons, Ltd.