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While the lattice Boltzmann method (LBM) has proven robust in areas like general fluid dynamics, heat transfer, and multiphase modeling, its application to mass transfer has been limited. Current modeling strategies often oversimplify the…

Fluid Dynamics · Physics 2025-04-10 R. G. C. Lourenço , P. H. Constantino , F. W. Tavares

We propose an innovative difference-free scheme that combines the one-fluid lattice Boltzmann method (lBM) with the conservative phase-field (CPF) lBM to effectively solve large-scale two-phase fluid flow problems. The difference-free…

Fluid Dynamics · Physics 2024-07-18 Chunheng Zhao , Saumil Patel , Taehun Lee

A framework of finite-velocity model based Boltzmann equation has been developed for convection-diffusion equations. These velocities are kept flexible and adjusted to control numerical diffusion. A flux difference splitting based kinetic…

Numerical Analysis · Mathematics 2024-10-01 S. V. Raghurama Rao , K. S. Shrinath , Ankit Ruhi , Veeredhi Vasudeva Rao

We study the deformation and dynamics of droplets in time-dependent flows using 3D numerical simulations of two immiscible fluids based on the lattice Boltzmann model (LBM). Analytical models are available in the literature, which assume…

Fluid Dynamics · Physics 2018-01-17 F. Milan , M. Sbragaglia , L. Biferale , F. Toschi

One of the most striking draw-backs of standard lattice gas methods over lattice Boltzmann methods is a much more limited range of transport parameters that can be achieved. It is common for lattice Boltzmann methods to use over-relaxation…

Computational Physics · Physics 2022-06-22 Kyle Strand , Alexander J. Wagner

This study presents a high-order, thread-safe version of the lattice Boltzmann (LBM) method, incorporating an interface-capturing equation, based on the conservative Allen-Cahn equation, to simulate incompressible two-component systems with…

In this paper, we aim to address several important issues about the recently developed lattice Boltzmann (LB) model for relativistic hydrodynamics [M. Mendoza et al., Phys. Rev. Lett. 105, 014502 (2010); Phys. Rev. D 82, 105008 (2010)].…

Computational Physics · Physics 2012-11-15 Q. Li , K. H. Luo , X. J. Li

Over the past few decades, tremendous progress has been made in the development of particle-based discrete simulation methods versus the conventional continuum-based methods. In particular, the lattice Boltzmann (LB) method has evolved from…

Computational Physics · Physics 2015-12-08 Qing Li , K. H. Luo , Q. J. Kang , Y. L. He , Q. Chen , Q. Liu

In this paper, we first present the general propagation multiple-relaxation-time lattice Boltzmann (GPMRT-LB) model and obtain the corresponding macroscopic finite-difference (GPMFD) scheme on conservative moments. Then based on the Maxwell…

Numerical Analysis · Mathematics 2023-08-24 Ying Chen , Xi Liu , Zhenhua Chai , Baochang Shi

New method to simulate heat transport in multiphase lattice Boltzmann (LB) method is proposed. The energy transport equation needs to be solved when phase boundaries are present. Internal energy is represented by an additional set of…

Fluid Dynamics · Physics 2018-08-29 Alexander Kupershtokh , Dmitry Medvedev , Igor Gribanov

In this paper, a central-moment-based lattice Boltzmann (CLB) method for incompressible thermal flows is proposed. In the method, the incompressible Navier-Stokes equations and the convection-diffusion equation for the temperature field are…

Computational Physics · Physics 2017-12-21 Linlin Fei , K. H. Luo , Chuandong Lin , Qing Li

Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for vanishing flow velocity and at a singular value of the temperature. To that end, we…

Fluid Dynamics · Physics 2021-04-28 M. H. Saadat , B. Dorschner , I. V. Karlin

In this paper, a multiple-relaxation-time lattice Boltzmann (LB) approach is developed for the simulation of three-dimensional (3D) liquid-vapor phase change based on the pseudopotential model. In contrast to some existing 3D thermal LB…

Numerical Analysis · Mathematics 2022-06-03 Jiangxu Huang , Lei Wang , Kun He , Changsheng Huang

The Meshless Lattice Boltzmann Method (MLBM) is a numerical tool that relieves the standard Lattice Boltzmann Method (LBM) from regular lattices and, at the same time, decouples space and velocity discretizations. In this study, we…

Fluid Dynamics · Physics 2023-11-01 Dawid Strzelczyk , Maciej Matyka

One of the limitations of the Lattice Boltzmann Method in simulating inertial flows is the coupling of the discretization of space to the velocity discretization. It requires an increase of the size of computational lattices in order to…

Fluid Dynamics · Physics 2024-09-25 Dawid Strzelczyk , Maciej Matyka

We describe how regularization of lattice Boltzmann methods can be achieved by modifying dissipation. Classes of techniques used to try to improve regularization of LBMs include flux limiters, enforcing the exact correct production of…

Computational Physics · Physics 2014-08-01 R. A. Brownlee , J. Levesley , D. Packwood , A. N. Gorban

Many physical systems are described by probability distributions that evolve in both time and space. Modeling these systems is often challenging to due large state space and analytically intractable or computationally expensive dynamics. To…

Biological Physics · Physics 2019-07-03 Oliver K. Ernst , Tom Bartol , Terrence Sejnowski , Eric Mjolsness

In our recent work [H. Zhang, F.X. Trias, A. Oliva, D. Yang, Y. Tan, Y. Sheng. PIBM: Particulate immersed boundary method for fluid-particle interaction problems. Powder Technology. 272(2015), 1-13.], a particulate immersed boundary method…

Computational Physics · Physics 2015-02-05 Hao Zhang , Haizhuan Yuan , F. Xavier Trias , Aibing Yu , Yuanqiang Tan , Assensi Oliva

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

We present a quantum algorithm for computational fluid dynamics based on the Lattice-Boltzmann method. Our approach involves a novel encoding strategy and a modified collision operator, assuming full relaxation to the local equilibrium…

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