Numerical simulation of dispersion around an isolated cubic building: Comparison of various types of k–ɛ models

Abstract Prediction accuracy of flow and dispersion around a cubic building with a flush vent located on its roof was examined using various k – ɛ models, and numerical results were compared with wind-tunnel data. Four types of turbulence models, i.e., the standard k – ɛ model, the RNG k – ɛ model, the k – ɛ model with Launder and Kato modification and the Realizable k – ɛ model were compared in this study. The standard k – ɛ model provided inadequate results for the concentration field, because it could not reproduce the basic flow structure, such as the reverse flow on the roof. However, revised k – ɛ models provided concentrations in better agreement with the experimental data. The effect of an oblique wind angle and vent locations on the prediction accuracy was also investigated. It was confirmed that the prediction accuracy of the velocity field strongly affected that of the concentration field. The RNG model showed general agreement with the experiment, and was the best of the turbulence models tested. However, it becomes clear that the results for all CFD models show poor prediction accuracy of concentration distribution at the side and leeward surfaces of the building since they all underestimate the concentration diffusion on these regions. The concentrations predicted by all CFD models were less diffusive than those of the experiment.

[1]  A. Robins,et al.  The flow around a surface-mounted cube in uniform and turbulent streams , 1977, Journal of Fluid Mechanics.

[2]  S. Orszag,et al.  Development of turbulence models for shear flows by a double expansion technique , 1992 .

[3]  B. Launder,et al.  Mathematical Models of turbulence , 1972 .

[4]  S. Murakami,et al.  Comparison of various revised k–ε models and LES applied to flow around a high-rise building model with 1:1:2 shape placed within the surface boundary layer , 2008 .

[5]  T. Shih,et al.  A new k-ϵ eddy viscosity model for high reynolds number turbulent flows , 1995 .

[6]  Michael Schatzmann,et al.  Wind-tunnel and numerical modeling of flow and dispersion about several building shapes , 1999 .

[7]  Xiaoguang Wang Numerical simulation of wind-induced dispersion of emissions from rooftop stacks , 2006 .

[8]  Theodore Stathopoulos,et al.  Numerical evaluation of pollutant dispersion in the built environment: comparisons between models and experiments , 2008 .

[9]  Kit Ming Lam,et al.  Recent progress in CFD modelling of wind field and pollutant transport in street canyons , 2006 .

[10]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[11]  T. Stathopoulos,et al.  CFD simulation of the atmospheric boundary layer: wall function problems , 2007 .

[12]  S. Murakami,et al.  COMPARISON OF VARIOUS TURBULENCE MODELS APPLIED TO A BLUFF BODY , 1993 .

[13]  Robert N. Meroney,et al.  Gas dispersion near a cubical model building. Part I. Mean concentration measurements , 1983 .

[14]  Theodore Stathopoulos,et al.  Numerical evaluation of wind-induced dispersion of pollutants around a building , 1997 .

[15]  Yoshihide Tominaga,et al.  AIJ guidelines for practical applications of CFD to pedestrian wind environment around buildings , 2008 .

[16]  William H. Snyder,et al.  A Comparison of Numerical and Physical Modeling of Stable Atmospheric Flow and Dispersion around a Cubical Building , 1996 .

[17]  B. E Launder Modeling Flow-induced Oscillations in Turbulent Flow Around Stationary and Vibrating Square Cylinder , 1993 .

[18]  Wan Ki Chow,et al.  Numerical studies on air flow around a cube , 2005 .

[19]  D. J. Wilson Critical wind speeds for maximum exhaust gas reentry from flush vents at roof level intakes , 1982 .

[20]  Theodore Stathopoulos,et al.  Computational evaluation of pollutant dispersion around buildings: Estimation of numerical errors , 1998 .

[21]  Yoshihide Tominaga,et al.  Turbulent Schmidt numbers for CFD analysis with various types of flowfield , 2007 .

[22]  Yoshihide Tominaga,et al.  Comparison of various k-ε models and DSM applied to flow around a high-rise building - report on AIJ cooperative project for CFD prediction of wind environment - , 2002 .

[23]  Theodore Stathopoulos,et al.  Effects of model scale in estimating pollutant dispersion near buildings , 1995 .