Grid refinement for entropic lattice Boltzmann models

Dorschner, Benedikt; Frapolli, Nicolò; Karlin, Iliya V.

doi:10.1103/physreve.94.053311

Cited by 46 publications

(30 citation statements)

References 42 publications

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“…C p profiles from an experimental study, and a DNS study are also shown for reference. It is to be noted that capturing the C p distribution requires a very high resolution of the sphere [95] while with the current model, we find a reasonable agreement with only 80 points per diameter. The averaged profile of the velocity in the streamwise direction normalized with the freestream velocity at three different locations (x/D 0 = 0.2, 1.6, 3.0) in the wake of the sphere are shown in Fig.…”

Section: Flow Past a Spheresupporting

confidence: 72%

Lattice Boltzmann model for weakly compressible flows

et al. 2020

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We present an energy conserving lattice Boltzmann model based on a crystallographic lattice for simulation of weakly compressible flows. The theoretical requirements and the methodology to construct such a model are discussed. We demonstrate that the model recovers the isentropic sound speed in addition to the effects of viscous heating and heat flux dynamics. Several test cases for acoustics, thermal and thermoacoustic flows are simulated to show the accuracy of the proposed model. :1909.08406v1 [physics.comp-ph] arXiv

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Section: Flow Past a Spheresupporting

confidence: 72%

Lattice Boltzmann model for weakly compressible flows

et al. 2020

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“…For brevity, we avoid presenting the pure CFD validation as done in [41]. The fluid solver however was thoroughly validated as witnessed by many of our preceding contributions (see, e.g., [42]). Thus, having validated the structural solver, we proceed with benchmarks of the fully coupled FSI scheme.…”

Section: Turek Benchmarkmentioning

confidence: 99%

Fluid-structure interaction with the entropic lattice Boltzmann method

Dorschner

Karlin

2018

Phys. Rev. E

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We propose a fluid-structure interaction (FSI) scheme using the entropic multi-relaxation time lattice Boltzmann (KBC) model for the fluid domain in combination with a nonlinear finite element solver for the structural part. We show the validity of the proposed scheme for various challenging setups by comparison to literature data. Beyond validation, we extend the KBC model to multiphase flows and couple it with a finite element method (FEM) solver. Robustness and viability of the entropic multi-relaxation time model for complex FSI applications is shown by simulations of droplet impact on elastic superhydrophobic surfaces.

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“…Hence, one may prefer to rely on KBC models to improve the numerical stability of LBMs at a low CPU cost. These collision models are based on an approximation to the minimization problem, and use an analytic formula for the computation of the dynamic relaxation time [12][13][14][15][16][17][18]. They can further decouple the relaxation of shear modes from acoustic and ghost modes, hence, freeing themselves from the generation of spurious vortices induced by the use of a varying shear viscosity in underre-solved conditions.…”

Section: Introductionmentioning

confidence: 99%

Comprehensive comparison of collision models in the lattice Boltzmann framework: Theoretical investigations

2019

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Over the last decades, several types of collision models have been proposed to extend the validity domain of the lattice Boltzmann method (LBM), each of them being introduced in its own formalism. The present article proposes a formalism that describes all these methods within a common mathematical framework, and in this way allows us to draw direct links between them. Here, the focus is put on single and multirelaxation time collision models in either their raw moment, central moment, cumulant or regularized form. In parallel with that, several bases (non orthogonal, orthogonal, Hermite) are considered for the polynomial expansion of populations. General relationships between moments are first derived to understand how moment spaces are related to each other. In addition, a review of collision models further sheds light on collision models that can be rewritten in a linear matrix form. More quantitative mathematical studies are then carried out by comparing explicit expressions for the post collision populations. Thanks to this, it is possible to deduce the impact of both the polynomial basis (raw, Hermite, central, central Hermite, cumulant) and the inclusion of regularization steps on isothermal LBMs. Extensive results are provided for the D1Q3, D2Q9, and D3Q27 lattices, the latter being further extended to the D3Q19 velocity discretization. Links with the most common two and multirelaxation time collision models are also provided for the sake of completeness. The present work ends by emphasizing the importance of an accurate representation of the equilibrium state, independently of the choice of moment space. As an addition to the theoretical purpose of the present article, general instructions are provided to help the reader with the implementation of the most complicated collision models.

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Grid refinement for entropic lattice Boltzmann models

Cited by 46 publications

References 42 publications

Lattice Boltzmann model for weakly compressible flows

Lattice Boltzmann model for weakly compressible flows

Fluid-structure interaction with the entropic lattice Boltzmann method

Comprehensive comparison of collision models in the lattice Boltzmann framework: Theoretical investigations

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