Entropic multirelaxation lattice Boltzmann models for turbulent flows

Bösch, Fabian; Karlin, Iliya V.

doi:10.1103/physreve.92.043309

Cited by 81 publications

(92 citation statements)

References 30 publications

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“…To do this, the entropy is written in terms of the post-collisional state and the γ parameter. The critical point of the entropy [6,7] determines the tunable parameter γ from…”

Section: Moment Basis Representation For Multiple Relaxation Model Ofmentioning

confidence: 99%

“…However, Karlin et. al [6,7] noted that if one invokes the simple small argument expansion log(1 + x) = x + ... then the entropic factor can be determined algebraically. Since this is an approximation, we shall denote this entropic factor by γ * , with…”

Section: Moment Basis Representation For Multiple Relaxation Model Ofmentioning

confidence: 99%

“…An alternate and systematic approach to stabilizing LB is through an entropic principle and its assocaited H-theorem. [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In its current state, the entropic approach can be viewed as an optimized MRT algorithm in which emphasis is placed on an algebraically determined entropy stabilizing parameter that is not directly dependent on the MRT collisional rates and which does not affect the fluid viscosity.…”

Section: Introductionmentioning

confidence: 99%

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A partial entropic lattice Boltzmann MHD simulation of the Orszag–Tang vortex

Flint

Vahala

2018

Radiation Effects and Defects in Solids

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Karlin has introduced an analytically-determined entropic lattice Boltzmann algorithm for Navier-Stokes turbulence. Here this is partially extended to a lattice Boltzmann model of magnetohydrodynamics, on using the vector distribution function approach of Dellar for the magnetic field. (which is permitted to have field reversal). The partial entropic algorithm is benchmarked successfully against standard simulations of the Orszag-Tang vortex [1].

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“…To do this, the entropy is written in terms of the post-collisional state and the γ parameter. The critical point of the entropy [6,7] determines the tunable parameter γ from…”

Section: Moment Basis Representation For Multiple Relaxation Model Ofmentioning

confidence: 99%

Section: Moment Basis Representation For Multiple Relaxation Model Ofmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A partial entropic lattice Boltzmann MHD simulation of the Orszag–Tang vortex

Flint

Vahala

2018

Radiation Effects and Defects in Solids

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“…This tool is based on the systematic calculation of each term of the kinetic energy and enstrophy balance equations averaged over a suitable ensemble of sub-volumes of the computational grid. A similar approach to characterize LBM hydrodynamics was successfully used in [24,25]…”

Section: Introductionmentioning

confidence: 99%

A numerical tool for the study of the hydrodynamic recovery of the Lattice Boltzmann Method

Tauzin

Biferale²,

Sbragaglia³

et al. 2018

Computers & Fluids

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We investigate the hydrodynamic recovery of Lattice Boltzmann Method (LBM) by analyzing exact balance relations for energy and enstrophy derived from averaging the equations of motion on sub-volumes of different sizes. In the context of 2D isotropic homogeneous turbulence, we first validate this approach on decaying turbulence by comparing the hydrodynamic recovery of an ensemble of LBM simulations against the one of an ensemble of Pseudo-Spectral (PS) simulations.We then conduct a benchmark of LBM simulations of forced turbulence with increasing Reynolds number by varying the input relaxation times of LBM. This approach can be extended to the study of implicit subgrid-scale (SGS) models, thus offering a promising route to quantify the implicit SGS models implied by existing stabilization techniques within the LBM framework.

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“…Validity of the Navier-Stokes equation at small scales for a given simulation is checked independently, for example, by measuring the viscosity in the energy and enstrophy balance equations. For a detailed analysis of these aspects for the KBC models we refer to recent papers [32,33].…”

Section: What Is the Main Numerical Mechanism Promoting Stability In mentioning

confidence: 99%