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The Cahn-Hilliard (C-H) equation, as a classical diffusion-interface method of phase-field, has been extensively employed for simulating two-phase fluid dynamics. However, it suffers from a key challenge in the simulation process,…

Fluid Dynamics · Physics 2025-05-19 Fang Xiong , Lei Wang , Xinyue Liu

The transport of a passive scalar restricted on interfaces, which is advected by the fluid motions have numerous applications in multiphase transport phenomena. A prototypical example is the advection-diffusion of the concentration field of…

Fluid Dynamics · Physics 2025-04-15 William Schupbach , Kannan Premnath

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

The lattice Boltzmann (LB) method has gained much success in a variety of fields involving fluid flow and/or heat transfer. In this method, the bounce-back scheme is a popular boundary scheme for treating nonslip boundaries. However, this…

Computational Physics · Physics 2020-07-01 Y. Yu , Q. Li , Z. X. Wen

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

In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for convection heat transfer in porous media under local thermal non-equilibrium (LTNE) condition. The model is constructed within the framework of the…

Computational Physics · Physics 2016-10-18 Q. Liu , Y. -L. He

The phenomena of diffusion in multicomponent (more than two components) mixtures are very universal in both science and engineering, and from mathematical point of view, they are usually described by the Maxwell-Stefan (MS) based continuum…

Computational Physics · Physics 2019-02-27 Zhenhua Chai , Xiuya Guo , Lei Wang , Baochang Shi

Body force modelling in lattice Boltzmann method (LBM) has been extensively studied in the incompressible limit but rarely discussed for thermal compressible flows. Here we present a systematic approach of incorporating body force in LBM…

Fluid Dynamics · Physics 2023-06-14 Zuoxu Li , Xiaowen Shan

This study develops a computationally efficient phase-field lattice Boltzmann model with the capability to simulate thermocapillary flows. The model was implemented into the open-source simulation framework, waLBerla, and extended to…

Fluid Dynamics · Physics 2024-01-09 Markus Holzer , Travis Mitchell , Christopher R. Leonardi , Ulrich Ruede

Diffusion phenomena in a multiple component lattice Boltzmann Equation (LBE) model are discussed in detail. The mass fluxes associated with different mechanical driving forces are obtained using a Chapman-Enskog analysis. This model is…

comp-gas · Physics 2009-10-28 Xiaowen Shan , Gary Doolen

The lattice Boltzmann method (LBM) has experienced tremendous advances and been well accepted as a popular method of simulation of various fluid flow mechanisms on pore scale in tight formations. With the introduction of an effective…

Fluid Dynamics · Physics 2016-01-07 Junjian Wang , Li Chen , Qinjun Kang , Sheik S Rahman

A novel coupled level-set lattice Boltzmann method on adaptive Cartesian grids for simulating liquid-gas multiphase flows is presented. The approach addresses the inherent challenges of accurately modeling multiphase systems characterized…

Fluid Dynamics · Physics 2026-01-12 Julian Vorspohl , Yuxing Peng , Matthias Meinke , Dominik Krug , Wolfgang Schröder

Finite-difference Lattice Boltzmann (LB) models are proposed for simulating gas flows in devices with microscale geometries. The models employ the roots of half-range Gauss-Hermite polynomials as discrete velocities. Unlike the standard LB…

Fluid Dynamics · Physics 2013-08-06 G. P. Ghiroldi , L. Gibelli

An immersed interface-lattice Boltzmann method (II-LBM) is developed for modelling fluid-structure systems. The key element of this approach is the determination of the jump conditions that are satisfied by the distribution functions within…

Computational Physics · Physics 2021-01-20 Jianhua Qin , Ebrahim M. Kolahdouz , Boyce E. Griffith

In this paper, a coupling lattice Boltzmann (LB) model for simulating thermal flows on the standard D2Q9 lattice is developed in the framework of the double-distribution-function (DDF) approach in which the viscous heat dissipation and…

Computational Physics · Physics 2012-02-07 Q. Li , K. H. Luo , Y. L. He , Y. J. Gao , W. Q. Tao

In this brief report, a thermal lattice-Boltzmann (LB) model is presented for axisymmetric thermal flows in the incompressible limit. The model is based on the double-distribution-function LB method, which has attracted much attention since…

Computational Physics · Physics 2015-05-13 Q. Li , Y. L. He , G. H. Tang , W. Q. Tao

Owing to its conceptual simplicity and computational efficiency, the pseudopotential multiphase lattice Boltzmann (LB) model has attracted significant attention since its emergence. In this work, we aim to extend the pseudopotential LB…

Computational Physics · Physics 2013-05-07 Q. Li , K. H. Luo , X. J. Li

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

Many catalyst devices employ flow through porous structures, which leads to a complex macroscopic mass and heat transport. To unravel the detailed dynamics of the reactive gas flow, we present an all-encompassing model, consisting of…

Fluid Dynamics · Physics 2020-06-08 Nadiia Kulyk , Daniel Berger , Ana-Sunčana Smith , Jens Harting

In this paper we apply a finite difference lattice Boltzmann model to study the phase separation in a two-dimensional liquid-vapor system. Spurious numerical effects in macroscopic equations are discussed and an appropriate numerical scheme…

Soft Condensed Matter · Physics 2009-11-10 V. Sofonea , A. Lamura , G. Gonnella , A. Cristea