POSITIVITY OF k-EPSILON TURBULENCE MODELS FOR INCOMPRESSIBLE FLOW

DOI10.1142/S0218202502001702zbMath1020.76021MaRDI QIDQ4798968

Song Fu, Zi-Niu Wu

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

iterative procedurepositivityoperator splittingincompressible flowgeneral low Reynolds number \(k\)-epsilon models

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) (k)-(varepsilon) modeling in turbulence (76F60)

Related Items (6)

A positivity-preserving, implicit defect-correction multigrid method for turbulent combustion ⋮ The unconditionally positive-convergent implicit time integration scheme for two-equation turbulence models: Revisited ⋮ Analysis of a singular convection diffusion system arising in turbulence modelling ⋮ A robust implicit multigrid method for RANS equations with two-equation turbulence models ⋮ Designing a positive second-order implicit time integration procedure for unsteady turbulent flows ⋮ Mixed analytical/numerical method applied to the high-Reynolds number \(k-\varepsilon\) turbulence model

Cites Work

• EXISTENCE AND POSITIVITY RESULTS FOR THE φ−θ AND A MODIFIED k−ε TWO-EQUATIONTURBULENCE MODELS
• Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equations
• Improved Low-Reynolds-Number k-e Model Based on Direct Numerical Simulation Data
• EXISTENCE OF SOLUTION TO NONLINEAR ELLIPTIC SYSTEMS ARISING IN TURBULENCE MODELLING
• Applied mathematics and turbulence modelling
• On the Construction and Comparison of Difference Schemes
• Linear well-posedness of a hybrid inviscid/viscous flow problem with smooth and discontinuous solutions at the interface

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