Near-wall function for turbulence closure models

Ng, Eddie Yin-Kwee; Tan, H. Y.; Lim, Hee-Chang; Choi, Daesan

doi:10.1007/s00466-002-0331-1

Cited by 8 publications

(3 citation statements)

References 6 publications

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“…Moreover, the Reliable k-ε turbulence model [14] together with the wall function [15] was used to calculate the turbulence viscosity, μ t , and make the governing equations closed.…”

Section: Governing Equations and Numerical Methodsmentioning

confidence: 99%

Investigation of Boundary Effects on the Natural Cavitating Flow around a 2D Wedge in Shallow Water

Chen

Cao

et al. 2011

Modelling and Simulation in Engineering

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When a cavitated body moves in shallow water, both flexible free surface and rigid bottom wall will produce great influence on the cavity pattern and hydrodynamics to change the motion attitude and stability of the body. In this paper, a single-fluid multiphase flow method coupled with a natural cavitation model was employed to study the effects of two kinds of boundaries on the natural cavitating flow around a two-dimensional symmetry wedge in shallow water. Within the range of the cavitation number for computation (0.05 ~ 2.04), the cavity pattern would be divided into three types, namely, stable type, transition type and wake-vortex type. The shape of the free surface is fairly similar to that of the cavity's upper surface with well right-and-left symmetry. However, when the immersion depth and the cavitation number are decreasing, the symmetry of the cavity shape is destroyed due to the influence of bottom wall effects. When the cavitation number is less than about 0.1, with the immersion depth going down, free surface effects exerts a stronger influence on the drag coefficient of this 2D wedge, whereas wall effects bring a stronger influence on the lift coefficient.

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“…Moreover, the Reliable k-ε turbulence model [14] together with the wall function [15] was used to calculate the turbulence viscosity, μ t , and make the governing equations closed.…”

Section: Governing Equations and Numerical Methodsmentioning

confidence: 99%

Investigation of Boundary Effects on the Natural Cavitating Flow around a 2D Wedge in Shallow Water

Chen

Cao

et al. 2011

Modelling and Simulation in Engineering

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“…In order to relax at least in part the above constraints, some authors included the pressure gradient to modify the conventional WFs. Such are the "non-equilibrium" WFs of Ng et al [14] (available in FLUENT CFD code). We followed here the arguments of Craft et al [2] and derived more general wall functions for the velocity and temperature, based on a single assumption that the non-dimensional eddy viscosity varies linearly with the distance from the wall, which was found to hold reasonably well even in strongly nonequilibrium flows.…”

Section: Velocity Fieldmentioning

confidence: 99%

Compound Wall Treatment for RANS Computation of Complex Turbulent Flows and Heat Transfer

Popovac

Hanjalić

2007

Flow Turbulence Combust

205

106

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We present a generalised treatment of the wall boundary conditions for RANS computation of turbulent flows and heat transfer. The method blends the integration up to the wall (ItW) with the generalised wall functions (GWF) that include non-equilibrium effects. Wall boundary condition can thus be defined irrespective of whether the wall-nearest grid point lies within the viscous sublayer, in the buffer zone, or in the fully turbulent region. The computations with fine and coarse meshes of a steady and pulsating flow in a plane channel, in flow behind a backwardfacing step and in a round impinging jet using the proposed compound wall treatment (CWT) are all in satisfactory agreement with the available experiments and DNS data. The method is recommended for computations of industrial flows in complex domains where it is difficult to generate a computational grid that will satisfy a priori either the ItW or WF prerequisites.Key words RANS turbulence models · wall functions · integration to the wall · compound wall treatment

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“…Through a similar development, the adjoint equations, their boundary conditions as well as new terms in the sensitivity derivatives can be derived. The adjoint wall function technique could even be applied to flow solvers coupled with Large Eddy Simulation (LES) models (namely, their wall functions based variants, [27][28][29][30]), provided that the adjoint to the LES pde's are available.…”

Section: Introductionmentioning

confidence: 99%