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We have simulated the motion of a single vertical, two-dimensional liquid bridge spanning the gap between two flat, horizontal solid substrates of given wettabilities, using a multicomponent pseudopotential lattice Boltzmann method. For…

Soft Condensed Matter · Physics 2022-03-02 Rodrigo C. V. Coelho , Luis A. R. G. Cordeiro , Rodrigo B. Gazola , Paulo I. C. Teixeira

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 present a new hybrid lattice-Boltzmann and Langevin molecular dynamics scheme for simulating the dynamics of suspensions of spherical colloidal particles. The solvent is modeled on the level of the lattice-Boltzmann method while the…

Soft Condensed Matter · Physics 2007-06-20 Vladimir Lobaskin , Burkhard Duenweg

The system of our interest is a dilute binary mixture, in which we consider that the species have different temperatures as an initial condition. To study their time evolution, we use the full version of the Boltzmann equation, under the…

Statistical Mechanics · Physics 2015-09-10 Valdemar Moratto , L. S. Garcia-Colin

We develop the idea that a natural link between Boltzmann schemes and finite volumes exists naturally: the conserved mass and momentum during the collision phase of the Boltzmann scheme induces general expressions for mass and momentum…

Cellular Automata and Lattice Gases · Physics 2023-06-28 François Dubois , Pierre Lallemand

We discuss the application of the local lattice technique of Maggs and Rossetto to problems that involve the motion of objects with different dielectric constants than the background. In these systems the simulation method produces a…

Soft Condensed Matter · Physics 2009-11-11 A. Duncan , R. D. Sedgewick , R. D. Coalson

A modified lattice Boltzmann model with a stochastic relaxation mechanism mimicking "virtual'' collisions between free-streaming particles and solid walls is introduced. This modified scheme permits to compute plane channel flows in…

Chaotic Dynamics · Physics 2007-05-23 Federico Toschi , Sauro Succi

Most biological fluids are viscoelastic, meaning that they have elastic properties in addition to the dissipative properties found in Newtonian fluids. Computational models can help us understand viscoelastic flow, but are often limited in…

Fluid Dynamics · Physics 2021-03-25 Michael Kuron , Cameron Stewart , Joost de Graaf , Christian Holm

The Lattice Boltzmann Method (LBM), e.g. in [ 1] and [2 ], can be interpreted as an alternative method for the numerical solution of partial differential equations. Consequently, although the LBM is usually applied to solve fluid flows, the…

Numerical Analysis · Mathematics 2023-01-03 Alexander Schlüter , Henning Müller , Sikang Yan , Erik Faust , Ralf Müller

The concept of equilibrium is a general tool to fill the gap between macroscopic and mesoscopic information, both within kinetic systems and kinetic schemes. This work explores the use of equilibria to devise numerical boundary conditions…

Numerical Analysis · Mathematics 2025-05-26 Denise Aregba-Driollet , Thomas Bellotti

In a recent work [A. De Rosis, R. Huang, and C. Coreixas, "Universal formulation of central-moments-based lattice Boltzmann method with external forcing for the simulation of multiphysics phenomena", Phys. Fluids 31, 117102 (2019)], a…

Computational Physics · Physics 2020-11-04 Alessandro De Rosis , Christophe Coreixas

We compute the moments of the nonlinear binary collision integral in the ultrarelativistic hard-sphere approximation for an arbitrary anisotropic distribution function in the local rest frame. This anisotropic distribution function has an…

Nuclear Theory · Physics 2025-07-03 Etele Molnár

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture with full hydrodynamics in three dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite correlation lengths in all…

Statistical Mechanics · Physics 2009-11-13 K. Stratford , J. -C. Desplat , P. Stansell , M. E. Cates

In this note, we show how the exploitation of the lattice momentum balance condition allows to envisage an analytical procedure to define the lattice pressure tensor (LPT) for the multi-phase Shan-Chen (SC) lattice Boltzmann method (LBM)…

Computational Physics · Physics 2025-03-11 Francesca Pelusi , Matteo Lulli , Christophe Coreixas , Mauro Sbragaglia , Xiaowen Shan

We introduce a numerical method for investigating interfacial flows coupled with frictional solid particles. Our method combines the lattice Boltzmann method (LBM) to model the dynamics of a two-component fluid and the discrete element…

Fluid Dynamics · Physics 2025-05-16 Abhinav Naga , Xitong Zhang , Junyu Yang , Halim Kusumaatmaja

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

It is well known that there are two integral steps of streaming and collision in the lattice Boltzmann method (LBM). This concept has been changed by the author's recently proposed macroscopic lattice Boltzmann method (MacLAB) to solve the…

Computational Physics · Physics 2019-02-11 Jian Guo Zhou

The goal of this work is to determine classes of traveling solitary wave solutions for Lattice Boltzmann schemes by means of an hyperbolic ansatz. It is shown that spurious solitary waves can occur in finite-difference solutions of…

Computational Physics · Physics 2020-06-17 Claire David , Pierre Sagaut

The Plateau-Rayleigh instability causes the fragmentation of a liquid ligament into smaller droplets. In this study a numerical study of this phenomenon based on a single relaxation time (SRT) pseudo-potential lattice Boltzmann method (LBM)…

Computational Physics · Physics 2019-04-29 Daniele Chiappini , Xiao Xue , Giacomo Falcucci , Mauro Sbragaglia

In this paper, we applied the Shan-Chen multiphase Lattice Boltzmann method to simulate two different parameters, contact angle (a static parameter) and slip length (a dynamic parameter), and we proposed a relationship between them by…

Fluid Dynamics · Physics 2013-04-01 Renliang Zhang , Qinfeng Di , Guohua Gao , Xinliang Wang , Weipeng Ding , Wei Gong