Entropic, LES and boundary conditions in lattice Boltzmann simulations of turbulence

Vahala, George; Keating, Brian; Soe, Min; Yepez, Jeffrey; Vahala, Linda; Ziegeler, Sean

doi:10.1140/epjst/e2009-01025-7

Cited by 14 publications

(15 citation statements)

References 18 publications

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“…[30][31][32] Since this time, the LB method has been successfully applied to a wide variety of flows including microfluidics, 33 turbulence, 34 and suspensions. [35][36][37][38] Readers interested in a more comprehensive review of the LB method should look at the review articles by Chen and Doolen 39 and, more recently, by Aidun and Clausen.…”

Section: A Lattice-boltzmann Methodsmentioning

confidence: 99%

Capsule dynamics and rheology in shear flow: Particle pressure and normal stress

Clausen

Aidun

2010

Physics of Fluids

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In this paper, we examine the dynamics of an isolated capsule using a hybrid lattice-Boltzmann/ finite-element method, with a focus on how the capsule dynamics affects the rheology of capsule suspensions. We study initially spherical capsules undergoing a "tank-treading" behavior in which the particle assumes an ellipsoidal shape at a steady orientation while the capsule's membrane rotates. Of particular interest is the calculation of the particle pressure and a full characterization of the normal stresses. To date, results on capsule rheology only consider normal stress differences, which are insufficient to explain particle migration using the suspension balance model ͓P. R. Nott and J. F. Brady, "Pressure-driven suspension flow: Simulation and theory," J. Fluid Mech. 275, 157 ͑1994͔͒. We also extend the results of R. Roscoe ͓"On the rheology of a suspension of viscoelastic spheres in a viscous liquid," J. Fluid Mech. 28, 273 ͑1967͔͒ using the solution for ellipsoidal particles of G. B. Jeffery ͓"The motion of ellipsoidal particles immersed in a viscous fluid," Proc. R. Soc. London, Ser. A 102, 161 ͑1922͔͒ to predict the particle-phase pressure of deformable particles. Both analytical modeling and numerical results show a negative ͑tensile͒ particle pressure, in contrast with the case of an isolated sphere, which shows no particle pressure.

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Section: A Lattice-boltzmann Methodsmentioning

confidence: 99%

Capsule dynamics and rheology in shear flow: Particle pressure and normal stress

Clausen

Aidun

2010

Physics of Fluids

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“…The LBM is a DNS method, and thus matching spatial and temporal resolutions to the small eddy Kolmogorov scales will allow for LBM to capture turbulent flows. The entropic LBM employed in this study has been shown to be able to capture turbulence at Re = 25 000 in free-decaying turbulence simulations (Vahala et al 2008(Vahala et al , 2009) by matching the Kolmogorov k −5/3 scaling for energy spectra. A separate free-decaying turbulence study showed that entropic LBM could match the k −5/3 scaling at Re = 16 000 and 4000, as well as accurately compare to a DNS spectral element method at Re = 4000 (Chikatamarla et al 2010).…”

Section: Turbulence In Lattice-boltzmann Modelling Of Bmhv Flowsmentioning

confidence: 98%

“…In the studies by Vahala et al (2008Vahala et al ( , 2009), free-decaying turbulence was captured at Re = 25 000 while under-resolving the required Kolmogorov scale by a factor of 1.24. In the study with comparison to a DNS spectral element method (Chikatamarla et al 2010), the entropic LBM showed excellent matching with both the spectral element method and with the Kolmogorov k −5/3 scaling at Re = 4000 while under-resolving the spatial grid by a factor 1.43.…”

Section: Turbulence In Lattice-boltzmann Modelling Of Bmhv Flowsmentioning

confidence: 99%

Computational modelling of flow through prosthetic heart valves using the entropic lattice-Boltzmann method

et al. 2014

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Previous clinical, in vitro experimental and in silico simulation studies have shown the complex dynamics of flow through prosthetic heart valves. In the case of bileaflet mechanical heart valves (BMHVs), complex flow phenomena are observed due to the presence of two rigid leaflets. A numerical method for this type of study must be able to accurately simulate pulsatile flow through BMHVs with the inclusion of leaflet motion and high-Reynolds-number flow modelling. Consequently, this study aims at validating a numerical method that captures the flow dynamics for pulsatile flow through a BMHV. A 23 mm St. Jude Medical (SJM) Regent TM valve is selected for use in both the experiments and numerical simulations. The entropic lattice-Boltzmann method is used to simulate pulsatile flow through the valve with the inclusion of reverse leakage flow, while prescribing the flowrate and leaflet motion from experimental data. The numerical simulations are compared against experimental digital particle image velocimetry (DPIV) results from a previous study for validation. The numerical method is shown to match well with the experimental results quantitatively as well as qualitatively. Simulations are performed with efficient parallel processing at very high spatiotemporal resolution that can capture the finest details in the pulsatile BMHV flow field. This study validates the lattice-Boltzmann method as suitable for simulating pulsatile, high-Reynolds-number flows through prosthetic devices for use in future research.

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“…As a mesoscopic approach and a bridge between the molecular dynamics method at the microscopic level and the conventional numerical method at the macroscopic level, the lattice Boltzmann (LB) method [1] has been successfully applied to various fields during the past two decades, ranging from the multiphase system [2][3][4], magnetohydrodynamics [5][6][7], reaction-diffusion system [8][9][10], compressible fluid dynamics [11][12][13][14][15][16][17][18], simulations of linear and nonlinear partial differential equations [19], etc. Its popularity is mainly owed to its kinetic nature [20], which makes the physics at mesoscopic scale can be incorporated easily.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann study on Kelvin-Helmholtz instability: Roles of velocity and density gradients

Gan

Zhang

et al. 2011

Phys. Rev. E

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Entropic, LES and boundary conditions in lattice Boltzmann simulations of turbulence

Cited by 14 publications

References 18 publications

Capsule dynamics and rheology in shear flow: Particle pressure and normal stress

Capsule dynamics and rheology in shear flow: Particle pressure and normal stress

Computational modelling of flow through prosthetic heart valves using the entropic lattice-Boltzmann method

Lattice Boltzmann study on Kelvin-Helmholtz instability: Roles of velocity and density gradients

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