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Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices
2014
Journal of Computational Physics
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The vast majority of lattice Boltzmann algorithms produce a non-Galilean invariant viscous stress. ...
This completely restores Galilean invariance for flows with uniform density, and in general reduces the magnitude of the defect in Galilean invariance from Mach number cubed to Mach number to the fifth ...
Acknowledgments It is a pleasure to acknowledge the hospitality of the Isaac Newton Institute programme Partial Differential Equations in Kinetic Theories, and of the Beijing Computational Science Research ...
doi:10.1016/j.jcp.2013.11.021
fatcat:oq2dgbi27zhxveuw3bw6tfzxri
Galilean-invariant preconditioned central-moment lattice Boltzmann method without cubic velocity errors for efficient steady flow simulations
2018
Physical review. E
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Lattice Boltzmann (LB) models used for the computation of fluid flows represented by the Navier-Stokes (NS) equations on standard lattices can lead to non-Galilean invariant (GI) viscous stress involving ...
This arises from the dependence of their third order diagonal moments on the first order moments for standard lattices, and strategies have recently been introduced to restore GI without such errors using ...
However, this preconditioned LBM formulation is not Galilean invariant on standard lattices. ...
doi:10.1103/physreve.97.053303
pmid:29906868
fatcat:jgubanugnvax5o7uclxs7gdxkm
Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows
2019
Journal of Computational Physics
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A thermal lattice Boltzmann model with a hybrid recursive regularization (HRR) collision operator is developed on standard lattices for simulation of subsonic and sonic compressible flows without shock ...
Numerical simulations demonstrate that the flaw in Galilean invariance is effectively eliminated by the compressible HRR model. ...
Dellar [24] proposed a lattice Boltzmann algorithm with Hermite-Gram-Schmidt polynomials to reduce cubic defects in Galilean invariance on standard lattices for the simulation of low-subsonic flows with ...
doi:10.1016/j.jcp.2019.05.031
fatcat:4rhkdsw4rrctjgbo2zwjv5upfq
Theory of the lattice Boltzmann method: Three-dimensional model for linear viscoelastic fluids
2003
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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The dispersion equation of the model is analyzed under various conditions to obtain the constraints on the free parameters such that the model satisfies isotropy and Galilean invariance. ...
, to obtain conditions for its isotropy and Galilean invariance, and to optimize its stability. ...
That is, both the lattice gas automata and the lattice Boltzmann equation are inherently non-Galilean invariant ͓25͔. ...
doi:10.1103/physreve.67.021203
pmid:12636662
fatcat:ve46fwifk5ecbmslsjjgnuzbfa
Stress response and structural transitions in sheared gyroidal and lamellar amphiphilic mesophases: Lattice-Boltzmann simulations
2006
Physical Review E
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We report on the stress response of gyroidal and lamellar amphiphilic mesophases to steady shear simulated using a bottom-up lattice-Boltzmann model for amphiphilic fluids and sliding periodic (Lees-Edwards ...
We find that the presence of amphiphile allows (a) the shear stress at late times to be higher than in the case without amphiphile, and (b) the formation of rich patterns on the sheared interface, characterised ...
We acknowledge Iain Murray, Elena Breitmoser, and Jonathan Chin for their involvement in algorithm implementation and optimization within the Reality-Grid and TeraGyroid projects. ...
doi:10.1103/physreve.73.031503
pmid:16605528
fatcat:67uaobijd5dercxxcvlow4ncdm
Interface tension in the improved Blume-Capel model
2017
Physical review. E
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2017 pre-print arXiv:1707.05665v1 fatcat:gvlimbkaaffsjj7w4h7zvnamzaOther Versions
We study interfaces with periodic boundary conditions in the low temperature phase of the improved Blume-Capel model on the simple cubic lattice. ...
These differences can be computed efficiently by using a variance reduced estimator that is based on the exchange cluster algorithm. ...
In the case of a spin model on a lattice, Galilean invariance is restored as the critical point is approached. In the present study we therefore focus on the neighbourhood of the critical point. ...
doi:10.1103/physreve.96.032803
pmid:29347047
fatcat:75aqhqbojrb5pbrrxydr6oglie
Overview of the lattice Boltzmann method for nano- and microscale fluid dynamics in materials science and engineering
2004
Modelling and Simulation in Materials Science and Engineering
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The first one reviews the philosophy and the formal concepts behind the lattice Boltzmann approach and presents also related pseudo-particle approaches. ...
The article gives an overview of the lattice Boltzmann method as a powerful technique for the simulation of single and multi-phase flows in complex geometries. ...
It is carefully chosen so that Galilean invariance and the isothermal Navier-Stokes equation in the incompressible fluid limit are recovered. ...
doi:10.1088/0965-0393/12/6/r01
fatcat:m6uafoqyqzezzdhllcjb6xz4zu
Under-resolved and large eddy simulations of a decaying Taylor–Green vortex with the cumulant lattice Boltzmann method
2020
Theoretical and Computational Fluid Dynamics
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AbstractWe 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. ...
We thank Malav Mukesh Soni M.Sc. for providing a reference implementation of the WALE model in the lattice Boltzmann context, which we used for validating the WALE model applied in this study. ...
doi:10.1007/s00162-020-00555-7
fatcat:3nm7kto6ezdjref5iesfpgtzou
Improved compressible Hybrid Lattice Boltzmann Method on standard lattice for subsonic and supersonic flows
[article]
2020
arXiv
pre-print
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A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows. ...
The result is a hybrid method that resolves the mass and momentum equations with an LBM algorithm, and resolves the entropy-based energy equation with a finite volume method. ...
In their model, they use a standard D2Q9 lattice where the Galilean invariance defect is corrected using a Hermite-based force term computed with finite differences. ...
arXiv:2002.03644v3
fatcat:i3lazrncwfbq7kfs5vyym7ddee
Coarsening dynamics of ternary amphiphilic fluids and the self-assembly of the gyroid and sponge mesophases: Lattice-Boltzmann simulations
2004
Physical Review E
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2004 accepted arXiv:cond-mat/0311002v3 fatcat:stgh65p7l5bjnliijtsqr7agb4Other Versions
By means of a three-dimensional amphiphilic lattice-Boltzmann model with short-range interactions for the description of ternary amphiphilic fluids, we study how the phase separation kinetics of a symmetric ...
for the self-assembly of cubic mesophases, contradicting claims in the literature. ...
We also thank the Higher Education Funding Council for England (HEFCE) for our on-site 16-node SGI Onyx2 graphical supercomputer. ...
doi:10.1103/physreve.69.061501
pmid:15244570
fatcat:zjo3vr7y6vaq3eyrac6ajdt2vi
Multiphysics flow simulations using D3Q19 lattice Boltzmann methods based on central moments
[article]
2020
arXiv
pre-print
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These quantities relax towards an elegant Galilean invariant equilibrium, and can also include the effect of external accelerations. ...
Fluids 31, 117102 (2019)], a multiple-relaxation-time lattice Boltzmann method (LBM) has been proposed by means of the D3Q27 discretization, where the collision stage is performed in the space of central ...
In the end, it is still not clear if one can reduce the lattice size in the context of CM-LBMs without deteriorating the accuracy of the solver. ...
arXiv:2010.01628v2
fatcat:moizggbmavdgpjdfsj76slfxry
Generalized lattice Boltzmann algorithm for the flow of a nematic liquid crystal with variable order parameter
2003
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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The algorithm accurately recovers the predicted changes in the order parameter in the presence of aligning flow, and magnetic, fields. ...
A single lattice Boltzmann equation is used with a direction dependent BGK collision term, with additional forcing terms to recover the antisymmetric terms in the stress tensor. ...
Cleaver for valuable conversations throughout the developments described in this paper. We also acknowledge helpful comments from Peter Olmsted. ...
doi:10.1103/physreve.67.061703
pmid:16241240
fatcat:cmmmkqfg2vbjfgbhna7wqsmbua
Lattice Boltzmann methods and active fluids
2019
The European Physical Journal E : Soft matter
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2019 pre-print arXiv:1906.01129v1 fatcat:fcaekvksqrdwxi6zrm3gipawxqOther Versions
We review the state of the art of active fluids with particular attention to hydrodynamic continuous models and to the use of Lattice Boltzmann Methods (LBM) in this field. ...
We present the thermodynamics of active fluids, in terms of liquid crystals modelling adapted to describe large-scale organization of active systems, as well as other effective phenomenological models. ...
Simulations supporting the theories presented in this review were run at Bari ReCaS ...
doi:10.1140/epje/i2019-11843-6
fatcat:ib7t4jzi7nfktb42l2c6f747me
Mesoscopic simulations at the physics-chemistry-biology interface
[article]
2019
arXiv
pre-print
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We discuss the Lattice Boltzmann-Particle Dynamics (LBPD) multiscale paradigm for the simulation of complex states of flowing matter at the interface between Physics, Chemistry and Biology. ...
In particular, we describe current large-scale LBPD simulations of biopolymer translocation across cellular membranes, molecular transport in ion channels and amyloid aggregation in cells. ...
In continuum kinetic theory, Galilean invariance is encoded within the dependence of the local Maxwell-Boltzmann distribution on the relative velocity of the molecules with respect to the fluid one, namely ...
arXiv:1905.02261v1
fatcat:k4zbtaqgmnfkvn2ioxnybg26ba
From molecular dynamics to lattice Boltzmann: a new approach for pore-scale modeling of multi-phase flow
2015
Petroleum Science
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Most current lattice Boltzmann (LBM) models suffer from the deficiency that their parameters have to be obtained by fitting experimental results. ...
In this paper, we propose a new method that integrates the molecular dynamics (MD) simulation and LBM to avoid such defect. ...
However, the free-energy model does not satisfy Galilean invariance, and the temperature dependence of the surface tension is incorrect (Nourgaliev et al. 2003) . ...
doi:10.1007/s12182-015-0018-9
fatcat:ra5qif3q3vgt5mzjokxrwpa4ve
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