Lattice Boltzmann Method for high Reynolds number compressible flow

Tran, Si Bui Quang; Leong, Fong Yew; Le, Quang Tuyen; Le, Duc Vinh

doi:10.1016/j.compfluid.2022.105701

Cited by 6 publications

(3 citation statements)

References 33 publications

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“…The square root allows us to recover similar threshold values to those obtained with the sensor in the population space (33). As for previous works, 52,53,105 the value of e M (35) is used to locally increase shear and thermal viscosity coefficients through a piece-wise constant function aðe M Þ,…”

Section: E Shock-capturing Techniquementioning

confidence: 96%

“…To the best of our knowledge, this issue is encountered in all LB works independently of the specific model used. 51,52,103,105 At the time of writing, the exact origin of such a problem remains uncertain, but ongoing parametric studies (shock sensor, lattice size, and dimensionless parameters) might provide more information. The corresponding outcome will be discussed in future work.…”

Section: F Supersonic Flow Past a Naca0012 Airfoilmentioning

confidence: 99%

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Exponential distribution functions for positivity-preserving lattice Boltzmann schemes: Application to 2D compressible flow simulations

Thyagarajan,

Coreixas,

Latt

2023

Physics of Fluids

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A family of positivity-preserving lattice Boltzmann methods (LBMs) is proposed for compressible flow simulations in the continuum regime. It relies on the efficient collide-and-stream algorithm with a collision step based on exponential distribution functions. The latter serves as a generalization of Grad's post-collision distribution functions for which here (1) the linearized non-equilibrium contributions are replaced by their exponential forms and (2) the number of these contributions can be chosen arbitrary. In practice, post-collision moments of our exponential formulation are enforced through an iterative moment-matching approach to recover any macroscopic physics of interest, with or without external forces. This methodology directly flows from the extended framework on numerical equilibria [J. Latt et al., Philos. Trans. R. Soc. A 378, 20190559 (2020)] and goes one step further by allowing for the independent relaxation of hydrodynamic and high-order modes in a given moment space, notably, making the Prandtl number freely adjustable. The model is supplemented by a shock-capturing technique, based on the deviation of non-equilibrium moments from their equilibrium counterparts, to ensure good numerical properties of the model in inviscid and under-resolved conditions. A second exponential distribution accounts for extra degrees of freedom of molecules and allows for the simulation of polyatomic gases. To validate this novel approach and to quantify the accuracy of different lattices and moment closures, several 2D benchmark tests of increasing complexity are considered: double shear layer, linear wave decay, Poiseuille flow, Riemann problem, compressible Blasius flow over a flat plate, and supersonic flow past an airfoil. Corresponding results confirm the accuracy and stability properties of our approach for the simulation of compressible flows with LBMs. Eventually, the performance analysis further highlights its efficiency on general purpose graphical processing units.

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Section: E Shock-capturing Techniquementioning

confidence: 96%

Section: F Supersonic Flow Past a Naca0012 Airfoilmentioning

confidence: 99%

Exponential distribution functions for positivity-preserving lattice Boltzmann schemes: Application to 2D compressible flow simulations

Thyagarajan,

Coreixas,

Latt

2023

Physics of Fluids

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“…Numerous studies have been conducted on seepage mechanics by scholars from diverse countries [16][17][18][19][20][21][22][23][24][25]. The lattice Boltzmann method (LBM) has gained considerable traction in resolving flow issues characterized by significant micro-scale effects and intricate channels [26][27][28][29][30][31][32][33][34]. Guo et al [35] introduced a lattice Boltzmann model for isothermal incompressible flow within porous media.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of fluid flow behavior in steel cord with lattice Boltzmann methodology: The impacts of microstructure and loading force

Zhao,

Jin,

Fan

et al. 2024

PLoS ONE

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Steel cord materials were found to have internal porous microstructures and complex fluid flow properties. However, current studies have rarely reported the transport behavior of steel cord materials from a microscopic viewpoint. The computed tomography (CT) scanning technology and lattice Boltzmann method (LBM) were used in this study to reconstruct and compare the real three-dimensional (3D) pore structures and fluid flow in the original and tensile (by loading 800 N force) steel cord samples. The pore-scale LBM results showed that fluid velocities increased as displacement differential pressure increased in both the original and tensile steel cord samples, but with two different critical values of 3.3273 Pa and 2.6122 Pa, respectively. The original steel cord sample had higher maximal and average seepage velocities at the 1/2 sections of 3D construction images than the tensile steel cord sample. These phenomena should be attributed to the fact that when the original steel cord sample was stretched, its porosity decreased, pore radius increased, flow channel connectivity improved, and thus flow velocity increased. Moreover, when the internal porosity of tensile steel cord sample was increased by 1 time, lead the maximum velocity to increase by 1.52 times, and the average velocity was increased by 1.66 times. Furthermore, when the density range was determined to be 0–38, the pore phase showed the best consistency with the segmentation area. Depending on the Zou-He Boundary and Regularized Boundary, the relative error of simulated average velocities was only 0.2602 percent.

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