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A three-dimensional (3 D) multiple-relaxation-time (MRT) and a 3 D single-relaxation-time (SRT) lattice Boltzmann (LB) models are proposed for the solid-liquid phase change. The enthalpy conservation equation can be recovered from the…

Computational Physics · Physics 2017-12-29 Dong Li , Ya-Ling He

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

Modeling liquid-vapor phase change using the lattice Boltzmann (LB) method has attracted significant attention in recent years. In this paper, we propose an improved three-dimensional (3D) thermal multiphase LB model for simulating…

Computational Physics · Physics 2022-02-14 Qing Li , Y. Yu , Kai. H. Luo

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of the model is that it enables to handle multiphase flows…

Computational Physics · Physics 2018-10-23 Hong Liang , Yang Li , Jiangxing Chen , Jiangrong Xu

The phase-field-based lattice Boltzmann (LB) model has been developed to perform high fidelity multiphase flow simulations. Its ability to accurately handle high density ratio and surface tension effects is expected to be beneficial for…

Fluid Dynamics · Physics 2025-12-02 R. Thirumalaisamy , S. Kim , H. Otomo , J. Jilesen , R. Zhang

We construct a phase field model including hydrodynamics and elasticity in one-component systems. It can be used to investigate solid-liquid and liquid-liquid phase transitions. Upon first-order phase transition, a velocity field is induced…

Soft Condensed Matter · Physics 2015-03-13 Kyohei Takae , Akira Onuki

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 develop an efficient lattice Boltzmann (LB) model for simulating immiscible incompressible $N$-phase flows $(N \geq 2)$ based on the Cahn-Hilliard phase field theory. In order to facilitate the design of LB model and…

Computational Physics · Physics 2020-07-08 Xiaolei Yuan , Hong Liang , Zhenhua Chai , Baochang Shi

This paper presents a model for the simulation of liquid-gas-solid flows by means of the lattice Boltzmann method. The approach is built upon previous works for the simulation of liquid-solid particle suspensions on the one hand, and on a…

Computational Engineering, Finance, and Science · Computer Science 2014-01-08 Simon Bogner , Ulrich Rüde

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting…

Statistical Mechanics · Physics 2009-11-13 S. Melchionna , U. Marini Bettolo Marconi

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…

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

A hybrid method is developed to simulate two-phase flows with soluble surfactants. In this method, the interface and bulk surfactant concentration equations of diffuse-interface form, which include source terms to consider surfactant…

Fluid Dynamics · Physics 2023-11-28 Yan Ba , Haihu Liu , Wenqiang Li , Wenjing Yang

A new lattice Boltzmann method for simulating multiphase flows is developed theoretically. The method is adjusted such that its continuum limit is the Navier-Stokes equation, with a driving force derived from the Cahn-Hilliard free energy.…

Statistical Mechanics · Physics 2014-09-25 Jasna Zelko , Burkhard Duenweg

A phase-field approach to the dynamics of liquid-solid interfaces that evolve due to precipitation and/or dissolution is presented. For the purpose of illustration and comparison with other methods, phase field simulations were carried out…

Computational Physics · Physics 2018-07-04 Zhijie Xu , Paul Meakin

We use a hybrid method of lattice Boltzmann and finite differences to simulate flat and curved interfaces between the nematic and isotropic phases of a liquid crystal described by the Landau-de Gennes theory. For the flat interface, we…

Soft Condensed Matter · Physics 2021-02-25 Rodrigo C. V. Coelho , Nuno A. M. Araújo , Margarida M. Telo da Gama

When a stationary bubble and a stationary droplet immersed in a liquid pool are brought in contact with each other, they form a bubble-droplet aggregate. Its equilibrium morphology and stability largely depend on the combination of…

Fluid Dynamics · Physics 2023-03-08 Chunheng Zhao , Taehun Lee

Electrofreezing is a powerful technique that employs the electric field to control and enhance the freezing process. In this work, a phase-field-based lattice Boltzmann (LB) method is developed to study the electrofreezing process of…

Fluid Dynamics · Physics 2024-10-22 Jiangxu Huang , Hanqing Li , Jiaqi Che , Zhenhua Chai , Lei Wang , Baochang Shi

The present study provides a systematic derivation of a phase-field version of the momentum, mass and heat transport equations, while accounting for chemical reactions in the fluid phase. To achieve this goal, the volume averaging technique…

Fluid Dynamics · Physics 2025-09-11 Reza Namdar , Mohammad Norouzi , Fathollah Varnik

We numerically study the dynamics of quasi-two dimensional cholesteric liquid crystal droplets in the presence of a time-dependent electric field, rotating at constant angular velocity. A surfactant sitting at droplet interface is also…

Soft Condensed Matter · Physics 2023-03-13 F. Fadda , A. Lamura , A. Tiribocchi