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Codina, Ramon; Soto, Orlando

Finite element implementation of two-equation and algebraic stress turbulence models for steady incompressible flows. (English) Zbl 0948.76036

Int. J. Numer. Methods Fluids 30, No. 3, 309-333 (1999).
Summary: We describe a finite element formulation for solving the equations for \(k\) and \(\varepsilon\) of the classical \(k\)-\(\varepsilon\) 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 \(k\)-\(\varepsilon\) model is used for the implementation of an algebraic stress model that is able to account for the effect of rotation. Some numerical examples are presented to show the performance of the proposed scheme.

Cited in 15 Documents

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76F60 \(k\)-\(\varepsilon\) modeling in turbulence
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

\(k\)-epsilon model; linearization of Navier-Stokes equations; two-equation model; finite element discretization; SUPG method; discontinuity capturing technique; nested loops; algebraic stress model; effect of rotation
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References:

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