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Related papers: A versatile lattice Boltzmann model for immiscible…

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The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multi-phase flows through different formulations. While already applied to many different configurations in the low Weber and…

Fluid Dynamics · Physics 2021-02-02 S. A. Hosseini , H. Safari , D. Thévenin

We present an improved lattice Boltzmann model for high-speed compressible flows. The model is composed of a discrete-velocity model by Kataoka and Tsutahara [Phys. Rev. E \textbf{69}, 056702 (2004)] and an appropriate finite-difference…

Soft Condensed Matter · Physics 2009-11-13 X. F. Pan , Aiguo Xu , Guangcai Zhang , Song Jiang

With the rapid development of studies involving droplet microfluidics, drug delivery, cell detection, and microparticle synthesis, among others, many scientists have invested significant efforts to model the flow of these fluid-filled…

In this work, a dynamic-Immersed--Boundary method combined with a BGK-Lattice--Boltzmann technique is developed and critically discussed. The fluid evolution is obtained on a three-dimensional lattice with 19 reticular velocities (D3Q19…

Fluid Dynamics · Physics 2022-07-14 Alessandro Coclite , Sergio Ranaldo , Giuseppe Pascazio , Marco D. de Tullio

We apply lattice Boltzmann method to study the phase separation of a two-dimensional binary fluid mixture in shear flow. The algorithm can simulate systems described by the Navier-Stokes and convection-diffusion equations. We propose a new…

Condensed Matter · Physics 2009-10-31 A. Lamura , G. Gonnella

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

The pseudopotential lattice Boltzmann method (LBM) is a prominent approach for simulating multiphase flows, valued for its physical intuitiveness and computational tractability. However, existing immiscible pseudopotential methods for…

Fluid Dynamics · Physics 2026-03-02 Yizhong Chen , Zhibin Wang

We present a two-way coupled fluid-structure interaction scheme for rigid bodies using a two-population lattice Boltzmann formulation for compressible flows. Arbitrary Lagrangian-Eulerian formulation of the discrete Boltzmann equation on…

Fluid Dynamics · Physics 2021-11-03 Abhimanyu Bhadauria , Benedikt Dorschner , Ilya Karlin

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…

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

Spurious velocities arising from the imperfect offset of the undesired term at the discrete level are frequently observed in numerical simulations of equilibrium multiphase flow systems using the lattice Boltzmann equation (LBE) method. To…

Fluid Dynamics · Physics 2023-11-21 Long Ju , Peiyao Liu , Bicheng Yan , Jin Bao , Shuyu Sun , Zhaoli Guo

A new homogenization approach for the simulation of multi-phase flows in heterogeneous porous media is presented. It is based on the lattice Boltzmann method and combines the grayscale with the multi-component Shan-Chen method. Thus, it…

An improved wetting boundary implementation strategy is proposed based on lattice Boltzmann color-gradient model in this paper. In this strategy, an extra interface force condition is demonstrated based on the diffuse interface assumption…

Fluid Dynamics · Physics 2017-07-06 Yuan Yu , Haihu Liu , Yonghao Zhang , Dong Liang

We develop a relativistic lattice Boltzmann model capable of describing relativistic fluid dynamics at ultra-high velocities, with Lorentz factors up to $\gamma \sim 10$. To this purpose, we first build a new lattice kinetic scheme by…

High Energy Astrophysical Phenomena · Physics 2015-06-12 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

A highly efficient three-dimensional (3D) Lattice Boltzmann (LB) model for high speed compressible flows is proposed. This model is developed from the original one by Kataoka and Tsutahara[Phys. Rev. E 69, 056702 (2004)]. The convection…

Statistical Mechanics · Physics 2010-12-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

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

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…

We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, diffusion, surface…

Soft Condensed Matter · Physics 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

A fluctuating non-ideal fluid at its critical point is simulated with the Lattice Boltzmann method. It is demonstrated that the method, employing a Ginzburg-Landau free energy functional, correctly reproduces the static critical behavior…

Computational Physics · Physics 2012-07-03 M. Gross , F. Varnik

We extend the chemical-potential-based free-energy lattice Boltzmann (LB) model of Li et al. [Phys. Rev. E 103, 013304 (2021)] by integrating generalized equilibria, originally formulated for the color-gradient LB model using sixth-order…

Statistical Mechanics · Physics 2025-04-08 Shimpei Saito , Soumei Baba , Naoki Takada