In this present study, three-dimensional lattice Boltzmann method is implemented with the popular turbulence modeling method large-eddy simulation incorporating three different non-dynamic sub-grid scale models Smagorinsky, Vreman, and wall-adapting local eddy-viscosity for finding the inhomogeneous turbulent airflow patterns inside a model room with a partition. The large eddy simulation-lattice Boltzmann method code is validated with the experimental results of Posner’s model, where the model room having one partition at the bottom, one inlet, an outlet placed at top wall considered for the comparisons. The lattice Boltzmann method code is also validated without any sub-grid scale model with the results of lid-driven flow in a cubic cavity. The present numerical simulations are performed by the graphics process unit accelerated parallel programs using compute unified device architecture C platform. Double precession capable a Tesla k40 with 2880 compute unified device architecture cores NVIDIA graphics process unit card has been used for these simulations. Graphics processor units have gained popularity in recent years as a propitious platform for numerical simulation of fluid dynamics. In fact, faster computational task performance in graphics process units is one of the key factors for researchers to choose graphics process unit over conventional central processing units for the implementation of data-intensive numerical methods like lattice Boltzmann method. The effects of the sub-grid scale model have been evaluated in terms of the mean velocity profiles, streamlines as well as turbulence characteristics and found that there are significant differences in the results due to the different sub-grid scale models.
XingHHattonAAwbiH. A study of the air quality in the breathing zone in a room with displacement ventilation. Build Environ2001; 36: 809–820.
2.
MundtE. Non-buoyant pollutant sources and particles in displacement ventilation. Build Environ2001; 36: 829–836.
3.
KarimipanahTAwbiH. Theoretical and experimental investigation of impinging jet ventilation and comparison with wall displacement ventilation. Build Environ2002; 37: 1329–1342.
4.
ShaoXLiX. Evaluating the potential of airflow patterns to maintain a non-uniform indoor environment. Renew Energy2015; 73: 99–108.
KaczmarczykJMelikovAFangerPO. Human response to personalized ventilation and mixing ventilation. Indoor Air2004; 14: 17–29.
7.
ReyFVelascoE. Experimental study of indoor air quality, energy saving and analysis of ventilation norms in climatised areas. Energy Build2000; 33: 57–67.
8.
JiangJWangX. Large eddy simulation of airflows in a full scale room at different ventilation rates. ASHRAE Trans2009; 115: 850–865.
9.
WangMLinC-HChenQ. Advanced turbulence models for predicting particle transport in enclosed environments. Build Environ2012; 47: 40–49.
10.
ZhangZChenQ. Comparison of the Eulerian and Lagrangian methods for predicting particle transport in enclosed spaces. Atmos Environ2007; 41: 5236–5248.
11.
ZhaoBZhangYLiX, et al.Comparison of indoor aerosol particle concentration and deposition in different ventilated rooms by numerical method. Build Environ2004; 39: 1–8.
12.
PrzekopRMoskalAGradońL. Lattice-Boltzmann approach for description of the structure of deposited particulate matter in fibrous filters. J Aerosol Sci2003; 34: 133–147.
13.
JafariSSalmanzadehMRahnamaM, et al.Investigation of particle dispersion and deposition in a channel with a square cylinder obstruction using the lattice Boltzmann method. J Aerosol Sci2010; 41: 198–206.
14.
HasanMFHimikaTAMollaMM. Lattice Boltzmann simulation of airflow and heat transfer in a model ward of a hospital. J Therm Sci Eng Appl2017; 9: 011011–011011.
15.
TianZTuJYeohG. CFD studies of indoor airflow and contaminant particle transportation. Particulate Sci Technol2007; 25: 555–570.
16.
SetaTTakegoshiEOkuiK. Lattice Boltzmann simulation of natural convection in porous media. Math Comput Simul2006; 72: 195–200.
17.
MohamadAKuzminA. A critical evaluation of force term in lattice Boltzmann method, natural convection problem. Int J Heat Mass Transfer2010; 53: 990–996.
18.
KeatingADethiouxPSattiR, et al.Computational aeroacoustics validation and analysis of a nose landing gear. In:15th AIAA/CEAS aeroacoustics conference (30th AIAA aeroacoustics conference)2009, pp. 3154–3154. New York: AIAA.
19.
LeeTLinC-L. A stable discretization of the Lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio. J Comput Phys2005; 206: 16–47.
20.
KonoKIshizukaTTsudaH, et al.Application of lattice Boltzmann model to multiphase flows with phase transition. Comput Phys Commun2000; 129: 110–120.
21.
HuangHSukopMLuX. Multiphase lattice Boltzmann methods: theory and application, New York: John Wiley & Sons, 2015.
22.
FrischUHasslacherBPomeauY. Lattice-gas automata for the Navier-Stokes equation. Phys Rev Lett1986; 56: 1505–1505.
Rothman DH, Zaleski S and Powell IV AC. Lattice-gas cellular automata: Simple models of complex hydrodynamics. Computers in Physics1988; 12: 576–576.
25.
Wolf-GladrowDA. Lattice-gas cellular automata and lattice Boltzmann models: an introduction, New York: Springer, 2004.
26.
SiHShiY. Study on lattice Boltzmann method/large eddy simulation and its application at high Reynolds number flow. Adv Mech Eng2015; 7: 1687814015573829–1687814015573829.
27.
Pope SB. Turbulent flows. Cambridge: Cambridge University Press, 2000.
28.
ShihT-HLiouWWShabbirA, et al.A new k-εeddy viscosity model for high Reynolds number turbulent flows. Comput Fluids1995; 24: 227–238.
29.
YakhotVOrszagSA. Renormalization group analysis of turbulence. I. Basic theory. J Scient Comput1986; 1: 3–51.
30.
KubackiSDickE. Simulation of plane impinging jets with k-ωbased hybrid RANS/LES models. Int J Heat Fluid Flow2010; 31: 862–878.
31.
LakehalDRodiW. Calculation of the flow past a surface-mounted cube with two-layer turbulence models. J Wind Eng Ind Aerodyn1997; 67: 65–78.
32.
MeneveauCKatzJ. Scale-invariance and turbulence models for large-eddy simulation. Annu Rev Fluid Mech2000; 32: 1–32.
33.
ZhangWChenQ. Large eddy simulation of indoor airflow with a filtered dynamic subgrid scale model. Int J Heat Mass Transfer2000; 43: 3219–3231.
34.
ChengXHuFZengQ. Simulation of wind gust structure in the atmospheric boundary layer with lattice Boltzmann method. Chinese Sci Bull2012; 57: 1196–1203.
35.
YuHLuoL-SGirimajiSS. LES of turbulent square jet flow using an MRT lattice Boltzmann model. Comput Fluids2006; 35: 957–965.
36.
FernandinoMBeronovKYtrehusT. Large eddy simulation of turbulent open duct flow using a lattice Boltzmann approach. Math Comput Simul2009; 79: 1520–1526.
37.
GuanHWuC. Large-eddy simulations of turbulent flows with lattice Boltzmann dynamics and dynamical system sub-grid models. Sci China Ser E2009; 52: 670–679.
38.
SmagorinskyJ. General circulation experiments with the primitive equations: I. The basic experiment. Monthly Weather Rev1963; 91: 99–164.
39.
VremanA. An eddy-viscosity subgrid-scale model for turbulent shear flow: algebraic theory and applications. Phys Fluids2004; 16: 3670–3681.
40.
MoghadamRKJavadiKKianiF. Assessment of the LES-WALE and Zonal-DES turbulence models in simulation of the flow structures around the finite circular cylinder. J Appl Fluid Mech2016; 9: 909–923.
41.
NicoudFDucrosF. Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turbul Combust1999; 62: 183–200.
LillyDK. A proposed modification of the Germano subgrid-scale closure method. Phys Fluids A: Fluid Dyn1992; 4: 633–635.
44.
EmmerichSJMcGrattanKBKatoS, et al.Application of a large eddy simulation model to study room airflow. ASHRAE Trans1998; 104: 1128–1128.
45.
SajjadiHSalmanzadehMAhmadiG, et al.Simulations of indoor airflow and particle dispersion and deposition by the lattice Boltzmann method using LES and RANS approaches. Build Environ2016; 102: 1–12.
46.
WangMChenQ. On a hybrid RANS/LES approach for indoor airflow modeling (rp-1271). HVAC &R Res2010; 16: 731–747.
47.
d’HumièresD. Multiple–relaxation–time lattice Boltzmann models in three dimensions. Philos Trans Roy Soc Lond A2002; 360: 437–451.
48.
GellerSKrafczykMTölkeJ, et al.Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Comput Fluids2006; 35: 888–897.
49.
YiotisAGPsihogiosJKainourgiakisME, et al.A lattice Boltzmann study of viscous coupling effects in immiscible two-phase flow in porous media. Colloids Surf A2007; 300: 35–49.
50.
BernaschiMFaticaMMelchionnaS, et al.A flexible high-performance lattice Boltzmann GPU code for the simulations of fluid flows in complex geometries. Concurr Comput: Pract Exper2010; 22: 1–14.
51.
BaileyPMyreJWalshSD, et al.Accelerating lattice Boltzmann fluid flow simulations using graphics processors. In:International conference on parallel processing, ICPP’092009, pp. 550–557. New York: IEEE.
52.
DelboscNSummersJLKhanA, et al.Optimized implementation of the lattice Boltzmann Method on a graphics processing unit towards real-time fluid simulation. Comput Math Appl2014; 67: 462–475.
53.
ObrechtCKuznikFTourancheauB, et al.A new approach to the lattice Boltzmann method for graphics processing units. Comput Math Appl2011; 61: 3628–3638.
54.
MollaMMWangB-CKuhnDC. Numerical study of pulsatile channel flows undergoing transition triggered by a modelled stenosis. Phys Fluids2012; 24: 121901–121901.
55.
LiQZhongCLiK, et al.A parallel lattice Boltzmann method for large eddy simulation on multiple GPUs. Computing2014; 96: 479–501.
J. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. J Fluid Mech1994; 271: 285–309.
58.
MawsonMJRevellAJ. Memory transfer optimization for a lattice Boltzmann solver on Kepler architecture nVidia GPUs. Comput Phys Commun2014; 185: 2566–2574.
59.
PosnerJBuchananCRDunn-RankinD. Measurement and prediction of indoor air flow in a model room. Energy Build2003; 35: 515–526.
60.
ShuCWangLChewY. Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method. Int J Numer Methods Fluids2003; 43: 345–368.
61.
KuHCHirshRSTaylorTD. A pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations. J Comput Phys1987; 70: 439–462.
