Invariant discretization of the k-ϵ model in general co-ordinates for prediction of turbulent flow in complicated geometries

作者: M. Zijlema , A. Segal , P. Wesseling

DOI: 10.1016/0045-7930(94)00031-S

关键词: Numerical analysisMathematical analysisTurbulenceClassical mechanicsDiscretizationInvariant (mathematics)Boundary value problemMathematicsCovariance and contravariance of vectorsCurvilinear coordinatesNavier–Stokes equations

摘要: Abstract An invariant formulation and finite volume discretization of the standard k-ϵ turbulence model in general curvilinear co-ordinates is presented. The implemented together with incompressible Navier-Stokes equations on staggered grids contravariant flux components as unknowns. A proof that k ϵ are non-negative given. Positive schemes implementation evaluated. Discretization boundary conditions considered. numerical method applied to a turbulent flow across tube bank.

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