DNS/LES Studies of Turbulent Flows Based on the Cumulant Lattice Boltzmann Approach

Krafczyk, Manfred; Kucher, Kostyantyn; Wang, Ying; Geier, Martin

doi:10.1007/978-3-319-10810-0_34

Cited by 9 publications

(8 citation statements)

References 15 publications

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“…Furthermore, since the LBM is suitable for parallel computing using the MPI and GPUs as reported by Huang et al (2015) ; Li et al (2013) and has been validated for turbulent flow DNS (e.g., Lammers et al, 2006;Chikatamarla et al, 2010;Bespalko et al, 2012;Suga et al, 2015 ), it has been often applied to various complex turbulent flow problems such as flows in porous media (e.g., Hasert et al, 2011;Krafczyk et al, 2015;Kuwata and Suga, 2015b ) or over rough walls (e.g., Jin et al, 2015;Tóth and Jánosi, 2015 ). Because of the above distinctive computational features, this study employs the LBM for simulating the time-dependent turbulent flow fields over porous and rough walls.…”

Section: Numerical Approachmentioning

confidence: 99%

Lattice Boltzmann direct numerical simulation of interface turbulence over porous and rough walls

Kuwata

Suga

2016

International Journal of Heat and Fluid Flow

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Section: Numerical Approachmentioning

confidence: 99%

Lattice Boltzmann direct numerical simulation of interface turbulence over porous and rough walls

Kuwata

Suga

2016

International Journal of Heat and Fluid Flow

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“…The current study focuses on the cumulant method [21,26,[37][38][39][40][41][42][43][44][45]. In the cumulant method we transform the distribution into a set of statistically independent observable quantities.…”

Section: Differences Between the Cumulant Model And Other Lattice Bolmentioning

confidence: 99%

Under-resolved and large eddy simulations of a decaying Taylor–Green vortex with the cumulant lattice Boltzmann method

Geier

Lenz

Schönherr

et al. 2020

Theor. Comput. Fluid Dyn.

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We present a comprehensive analysis of the cumulant lattice Boltzmann model with the three-dimensional Taylor–Green vortex benchmark at Reynolds number 1600. The cumulant model is investigated in several different variants, using regularization, fourth-order convergent diffusion and fourth-order convergent advection with and without limiters. In addition, a cumulant model combined with a WALE sub-grid scale model is being evaluated. The turbulence model is found to filter out the high wave number contributions from the energy spectrum and the enstrophy, while the non-filtered cumulant methods show good correspondence to spectral simulations even for the high wave numbers. The application of the WALE turbulence model appears to be counter productive for the Taylor–Green vortex at a Reynolds number of 1600. At much higher Reynolds numbers ($${\hbox {Re}}=160{,}000$$ Re = 160 , 000 ) a deviation from the ideal Kolmogorov theory can be observed in the absence of an explicit turbulence model. Cumulant models with fourth-order convergent diffusion show much better results than single relaxation time methods.

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“…Due to the simplicity of the wall treatment and high computer efficiency, the LBM has become a popular tool for complex porous medium flow simulations (e.g., Hatiboglu & Babadagli 2008;Beugre et al 2010;Parmigiani et al 2011;Chukwudozie & Tyagi 2013). Furthermore, since the LBM is suitable for parallel computing using the Message Passing Interface and Graphics Processing Units as reported by Li et al (2013); Huang et al (2015) and has been validated for turbulent flow DNS (e.g., Lammers et al 2006;Chikatamarla et al 2010;Bespalko et al 2012;Suga et al 2015), it has often been applied to various complex turbulent flow problems such as flows in porous media (e.g., Hasert et al 2011;Krafczyk et al 2015;Kuwata & Suga 2015b) or over rough walls (e.g., Jin et al 2015;Tóth & Jánosi 2015;Kuwata & Suga 2016b,c). Because of the above distinctive computational features, this study employs the LBM for simulating the time-dependent turbulent flow fields over porous walls.…”

Section: Numerical Approachmentioning

confidence: 99%

Direct numerical simulation of turbulence over anisotropic porous media

2017

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To investigate which component of the anisotropic permeability tensor of porous media influences turbulence over porous walls, direct numerical simulation of anisotropic porous-walled channel flows is performed by the D3Q27 multiple-relaxation-time lattice Boltzmann method. The presently considered anisotropic permeable walls have square pore arrays aligned with the Cartesian axes. Vertical, streamwise and spanwise pore arrays are systematically introduced to the walls to impose anisotropic permeability. Simulations are carried out at a friction Reynolds number of 111 and 230, which is based on the averaged friction velocity of the porous bottom and the smooth top walls. It is found that streamwise and spanwise permeabilities enhance turbulence whilst vertical permeability itself does not. In particular, the enhancement of turbulence is remarkable over porous walls with streamwise permeability. Over streamwise permeable walls, development of high- and low-speed streaks is prevented whilst large-scale intermittent patched patterns of ejection motions are induced. It is revealed by two-point correlation analysis that streamwise permeability allows the development of streamwise large-scale perturbations induced by Kelvin–Helmholtz instability. Spectral analysis reveals that this perturbation contributes to the enhancement of the Reynolds shear stress, leading to significant skin friction of the porous interface. Through the comparison between the two different Reynolds-number cases, it is found that, as the Reynolds number increases, the streamwise perturbation becomes larger and more organized. Consequently, owing to the enhancement of the large-scale perturbation, a significant Reynolds-number dependence of the skin friction of the porous interface can be observed over the streamwise permeable wall. It is also implied that the wavelength of the perturbation can be reasonably scaled by the outer-layer length scale.

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DNS/LES Studies of Turbulent Flows Based on the Cumulant Lattice Boltzmann Approach

Cited by 9 publications

References 15 publications

Lattice Boltzmann direct numerical simulation of interface turbulence over porous and rough walls

Lattice Boltzmann direct numerical simulation of interface turbulence over porous and rough walls

Under-resolved and large eddy simulations of a decaying Taylor–Green vortex with the cumulant lattice Boltzmann method

Direct numerical simulation of turbulence over anisotropic porous media

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