Simulation of a turbulent channel flow with an entropic Lattice Boltzmann method

Spasov, Mihail; Rempfer, Dietmar; Mokhasi, Paritosh

doi:10.1002/fld.1946

Cited by 17 publications

(4 citation statements)

References 15 publications

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“…Moreover, other independent authors, who have implemented the ELBE scheme, have made explicit use of (2) [5][6][7][8]. It is hard to understand how/why Luo et al could have been misreading the papers [3,4], to the point of attributing wrong statements to them.…”

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confidence: 99%

Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations

et al. 2011

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We conduct a comparative study to evaluate several lattice Boltzmann (LB) models for solving the near incompressible Navier-Stokes equations, including the lattice Boltzmann equation with the multiple-relaxation-time (MRT), the two-relaxation-time (TRT), the single-relaxation-time (SRT) collision models, and the entropic lattice Boltzmann equation (ELBE). The lid-driven square cavity flow in two dimensions is used as a benchmark test. Our results demonstrate that the ELBE does not improve the numerical stability of the SRT or the lattice Bhatnagar-Gross-Krook (LBGK) model. Our results also show that the MRT and TRT LB models are superior to the ELBE and LBGK models in terms of accuracy, stability, and computational efficiency and that the ELBE scheme is the most inferior among the LB models tested in this study, thus is unfit for carrying out numerical simulations in practice. Our study suggests that, to optimize the accuracy, stability, and efficiency in the MRT model, it requires at least three independently adjustable relaxation rates: one for the shear viscosity ν (or the Reynolds number Re), one for the bulk viscosity ζ, and one to satisfy the criterion imposed by the Dirichlet boundary conditions which are realized by the bounce-back-type boundary conditions.

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confidence: 99%

Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations

et al. 2011

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“…The performance achieves 2333 MLUPS; that is, 2.333 × 10 9 meshes are processed per second. Compared with the similar DNS in [27] done by 36 CPUs, in which the performance is 5.6 MLUPS, the present performance by GPUs is about 416 times higher. With LBM-GPU, high performance can be achieved easily without any difficulty in programming.…”

Section: Performance Of Computation By Gpus For This Dnsmentioning

confidence: 59%

“…In particular, the aspect ratios are = / and = / . Referring to the study in [26], Spasov et al [27] performed the direct numerical simulations of Re = 180 at = 4 and = 1. The mean velocities were overpredicted compared with the results obtained by Kim et al [5].…”

Section: Model System and Parametersmentioning

confidence: 99%

Direct Numerical Simulation and Large Eddy Simulation on a Turbulent Wall-Bounded Flow Using Lattice Boltzmann Method and Multiple GPUs

Xian

Shangguan

Onodera

et al. 2014

Mathematical Problems in Engineering

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Direct numerical simulation (DNS) and large eddy simulation (LES) were performed on the wall-bounded flow atReτ=180using lattice Boltzmann method (LBM) and multiple GPUs (Graphic Processing Units). In the DNS, 8 K20M GPUs were adopted. The maximum number of meshes is6.7×107, which results in the nondimensional mesh size ofΔ+=1.41for the whole solution domain. It took 24 hours for GPU-LBM solver to simulate3×106LBM steps. The aspect ratio of resolution domain was tested to obtain accurate results for DNS. As a result, both the mean velocity and turbulent variables, such as Reynolds stress and velocity fluctuations, perfectly agree with the results of Kim et al. (1987) when the aspect ratios in streamwise and spanwise directions are 8 and 2, respectively. As for the LES, the local grid refinement technique was tested and then used. Using1.76×106grids and Smagorinsky constant(Cs)=0.13, good results were obtained. The ability and validity of LBM on simulating turbulent flow were verified.

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“…Discrete kinetic theory, and in particular the LBM, has recently been used to a priori derive turbulence models based on mean field approximation (Ansumali et al, 2004). LES computations can be done using LBM, for which different configurations have been considered recently (Djenidi, 2006(Djenidi, , 2008Fernandino et al, 2009;Lammers et al, 2006;Spasov et al, 2009). An important parameter in LBM computation is the relaxation time which appears in modeling of the collision term.…”

Section: Introductionmentioning

confidence: 99%

Simulation of turbulent duct flow by employing shear-improved Smagorinsky model accompanied by forced generalized lattice Boltzmann method

Jafari

Rahnama

Javaran

2013

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose – The present work aims to deal with simulation of turbulent duct flow using generalized lattice Boltzmann equation (GLBE) in which large eddy simulation was employed. Design/methodology/approach – The sub-grid scale turbulence effects were simulated through a shear-improved Smagorinsky model (SISM) which is capable of predicting turbulent near wall region accurately without any wall function. Computations were done for fully developed turbulent square duct flow at Ret=300, based on duct width and average friction velocity. Findings – Results obtained for turbulent duct flow reveal that the GLBE in conjunction with SISM is able to correctly predict the existence of secondary flows and the computed detailed structure of first- and second-order statistics of main and secondary motions. The methodology is validated by comparing with previously published data. It is concluded that such framework is capable of predicting accurate results for turbulent duct flow. In addition, the operations in the present method are local; it can be easily programmed for parallel machines. Originality/value – The numerical method, including generalized lattice Boltzmann method with forcing term and implementation of SISM in GLBE, is used for the first time to simulate turbulent duct flow.

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Simulation of a turbulent channel flow with an entropic Lattice Boltzmann method

Cited by 17 publications

References 15 publications

Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations

Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations

Direct Numerical Simulation and Large Eddy Simulation on a Turbulent Wall-Bounded Flow Using Lattice Boltzmann Method and Multiple GPUs

Simulation of turbulent duct flow by employing shear-improved Smagorinsky model accompanied by forced generalized lattice Boltzmann method

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