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The lattice Boltzmann method (LBM) has established itself as a valid numerical method in computational fluid dynamics. Recently, multiple-relaxation-time LBM has been proposed to simulate anisotropic advection-diffusion processes. The…

Numerical Analysis · Computer Science 2016-08-24 S. Karimi , K. B. Nakshatrala

We propose an extension to recently developed Relativistic Lattice Boltzmann solvers (RLBM), which allows the simulation of flows close to the free streaming limit. Following previous works [Phys. Rev. C 98 (2018) 035201], we use product…

We present a highly efficient lattice Boltzmann (LB) kinetic model for thermal liquid-vapor system. Three key components are as beow: (i) a discrete velocity model by Kataoka \emph{et al.} [Phys. Rev. E \textbf{69}, 035701(R)(2004)]; (ii) a…

Soft Condensed Matter · Physics 2014-03-18 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Junqi Wang , Xijun Yu , Yang Yang

We present a multi-scale lattice Boltzmann scheme, which adaptively refines particles' velocity space. Different velocity sets, i.e., higher- and lower-order lattices, are consistently and efficiently coupled, allowing us to use the…

Fluid Dynamics · Physics 2021-06-16 N. G. Kallikounis , B. Dorschner , I. V. Karlin

We propose a single-step simplified lattice Boltzmann algorithm capable of performing magnetohydrodynamic (MHD) flow simulations in pipes for very small values of magnetic Reynolds numbers $R_m$. In some previous works, most lattice…

Fluid Dynamics · Physics 2023-01-19 Hugo S. Tavares , Bruno Magacho , Luca Moriconi , Juliana B. R. Loureiro

Operator split forcing schemes exploiting a symmetrization principle, i.e. Strang splitting, for cascaded lattice Boltzmann (LB) methods in two- and three-dimensions for fluid flows with impressed local forces are presented. Analogous…

Fluid Dynamics · Physics 2018-06-28 Farzaneh Hajabdollahi , Kannan N. Premnath

In this paper, a kind of finite-difference lattice Boltzmann method with the second-order accuracy of time and space (T2S2-FDLBM) is proposed. In this method, a new simplified two-stage fourth order time-accurate discretization approach is…

Computational Physics · Physics 2019-12-02 Xinmeng Chen , Zhenhua Chai , Huili Wang , Baochang Shi

Modeling the transport of deformable capsules under different flow regimens is crucial in a variety of fields, including oil rheology, blood flow and the dispersion of pollutants. The aim of this study is twofold. Firstly, a combined…

Fluid Dynamics · Physics 2019-03-11 A. Coclite , S. Ranaldo , M. D. De Tullio , P. Decuzzi , G. Pascazio

We revisit force evaluation methodologies on rigid solid particles suspended in a viscous fluid and simulated via lattice Boltzmann method (LBM). We point out the non-commutativity of streaming and collision operators in the force…

Fluid Dynamics · Physics 2022-10-20 Shaurya Kaushal , Sauro Succi , Santosh Ansumali

The lattice Boltzmann method (LBM) is routinely employed in the simulation of complex multiphase flows comprising bulk phases separated by non-ideal interfaces. LBM is intrinsically mesoscale with an hydro-dynamic equivalence popularly set…

Computational Physics · Physics 2019-05-24 Daniele Chiappini , Xiao Xue , Mauro Sbragaglia , Giacomo Falcucci

Deep state-space models (DSSMs) have gained popularity in recent years due to their potent modeling capacity for dynamic systems. However, existing DSSM works are limited to single-task modeling, which requires retraining with historical…

Machine Learning · Computer Science 2024-07-02 Yuanhang Zhang , Zhidi Lin , Yiyong Sun , Feng Yin , Carsten Fritsche

In this paper, we first present a unified framework for the modelling of generalized lattice Boltzmann method (GLBM). We then conduct a comparison of the four popular analysis methods (Chapman-Enskog analysis, Maxwell iteration, direct…

Computational Physics · Physics 2019-05-31 Zhenhua Chai , Baochang Shi

We demonstrate how to produce a stable multispeed lattice Boltzmann method (LBM) for a wide range of velocity sets, many of which were previously thought to be intrinsically unstable. We use non-Gauss--Hermitian cubatures. The method…

Statistical Mechanics · Physics 2007-05-23 R. A. Brownlee , A. N. Gorban , J. Levesley

While lateral interaction models for reactions at surfaces have steadily gained popularity and grown in terms of complexity, their use in chemical kinetics has been impeded by the low performance of current KMC algorithms. The origins of…

Computational Physics · Physics 2019-08-12 Franziska Hess

Accurately capturing the dynamic forces acting on rotors as well as their wake effects presents a significant challenge for computational fluid dynamics (CFD) due to high Reynolds numbers and a large range of spatio-temporal scales. The…

A multi-relaxation-time central-moment discrete Boltzmann method (CDBM) is developed for compressible reactive flows, incorporating the effects of chemical reactions. The Chapman--Enskog multiscale analysis demonstrates that the model…

Fluid Dynamics · Physics 2025-07-08 Qingbin Wu , Chuandong Lin , Huilin Lai

We present the formulation of a kinetic mapping scheme between the Direct Simulation Monte Carlo (DSMC) and the Lattice Boltzmann Method (LBM) which is at the basis of the hybrid model used to couple the two methods in view of efficiently…

Fluid Dynamics · Physics 2016-01-03 G. Di Staso , H. J. H Clercx , S. Succi , F. Toschi

Lattice Boltzmann methods are numerical schemes derived as a kinetic approximation of an underlying lattice gas. A numerical convergence theory for nonlinear convective-diffusive lattice Boltzmann methods is established. Convergence,…

comp-gas · Physics 2008-02-03 Bracy H. Elton , Garry H. Rodrigue , C. David Levermore

This study analyses a method to consistently recover the second-order convergence of the lattice Boltzmann method (LBM), which is frequently degraded by the improper discretisation of required source terms. The work focuses on…

Fluid Dynamics · Physics 2023-02-21 Grzegorz Gruszczyński , Michał Dzikowski , Łukasz Łaniewski-Wołłk

The rigorous simulation of stratified turbulence remains challenging due to pronounced flow anisotropy, suppressed vertical transport, and high sensitivity to numerical dissipation. This study systematically evaluates the predictive…

Fluid Dynamics · Physics 2026-05-15 Hongxuan Zhang
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