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With the aim of better understanding the numerical properties of the lattice Boltzmann method (LBM), a general methodology is proposed to derive its hydrodynamic limits in the discrete setting. It relies on a Taylor expansion in the limit…

Fluid Dynamics · Physics 2022-01-05 Gauthier Wissocq , Pierre Sagaut

Three-dimensional melting problems are investigated numerically with Lattice Boltzmann method (LBM). Regarding algorithm's accuracy and stability, Multiple-Relaxation-Time (MRT) models are employed to simplify the collision term in LBM.…

Fluid Dynamics · Physics 2016-07-12 Zheng Li , Mo Yang , Yuwen Zhang

Fluid-particle systems are highly sensitive to particle morphologies. While many attempts have been made on shape descriptors and coupling schemes, how to simulate the particle-particle and particle-fluid interactions with a balance between…

Computational Engineering, Finance, and Science · Computer Science 2023-02-01 Yifeng Zhao , Pei Zhang , Liang Lei , S. A. Galindo-Torres , Stan Z. Li

In this contribution a numerical study of a turbulent jet flow is presented. The simulation results of two different variants of the Lattice Boltzmann method (LBM) are compared. The first is the well-established D3Q19 MRT model extended by…

Fluid Dynamics · Physics 2012-06-05 S. Geller , S. Uphoff , M. Krafczyk

A new lattice Boltzmann (LB) model is introduced, based on a regularization of the pre-collision distribution functions in terms of the local density, velocity, and momentum flux tensor. The model dramatically improves the precision and…

Fluid Dynamics · Physics 2007-05-23 Jonas Latt , Bastien Chopard

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

The LBM is combined with the Volume Penalization (VP LBM) approach to simulate flows in the presence of obstacles. The single relaxation time LBM and the multiple relaxation time LBM are used. For cases where the fluid motion is enhanced by…

Fluid Dynamics · Physics 2018-12-14 M. Benamour , E. Liberge , C. Béghein

We simulate gravity driven dynamics of partially wetting droplets moving along a fibre using the lattice Boltzmann method. For the so-called clamshell morphology, we find three possible dynamic regimes upon varying the droplet Bond number…

Fluid Dynamics · Physics 2022-09-22 Raymond Christianto , Yudi Rahmawan , Ciro Semprebon , Halim Kusumaatmaja

The Plateau-Rayleigh instability shows that a cylindrical fluid flow can be destabilized by surface tension. Similarly, capillary forces can make an elastic cylinder unstable when the elastocapillary length is comparable to the cylinder's…

Soft Condensed Matter · Physics 2025-07-15 F. Magni , D. Riccobelli

The experimental observation of D. Duft, T. Achtzehn, R. Muller, B. A. Huber, and T. Leisner, Nature 421, 128 (2003) on the sequential progression of the instability of a charged liquid drop points at the formation of a jet followed by the…

Fluid Dynamics · Physics 2019-02-25 Neha Gawande , Y. S. Mayya , Rochish Thaokar

Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier-Stokes equations for hydrodynamic simulations. Recently, it was argued that modeling sub-grid scale phenomena…

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly…

Computational Physics · Physics 2025-06-30 Adrian Kummerländer , Fedor Bukreev , Yuji Shimojima , Shota Ito , Mathias J. Krause

We revisit force evaluation methodologies on rigid solid particles suspended in a viscous fluid and simulated via lattice Boltzmann method (LBM). We point out the non-commutativity of streaming and collision operators in the force…

Fluid Dynamics · Physics 2022-10-20 Shaurya Kaushal , Sauro Succi , Santosh Ansumali

Quantum computing shows substantial potential in accelerating simulations and alleviating memory bottlenecks in computational fluid dynamics (CFD), owing to its inherent properties of superposition and entanglement. The lattice Boltzmann…

Quantum Physics · Physics 2026-03-03 Yang Xiao , Liming Yang , Chang Shu , Yinjie Du

We study the effects of thermally induced capillary waves in the fragmentation of a liquid ligament into multiple nano-droplets. Our numerical implementation is based on a fluctuating lattice Boltzmann (LB) model for non-ideal…

Fluid Dynamics · Physics 2018-09-18 Xiao Xue , Mauro Sbragaglia , Luca Biferale , Federico Toschi

Thin liquid films exhibit rich instability and rupture dynamics that critically impact coating performance across many applications. In this work, we use the lattice Boltzmann method (LBM) simulations within a lubrication-theory framework…

Materials Science · Physics 2026-05-01 Karim Gadelrab , Stefan Reimann-Zitz

In this paper, we present the algorithm for the simulation of a single bubble rising in a stagnant liquid using Euler-Lagrangian (EL) approach. The continuous liquid phase is modeled using BGK approximation of lattice Boltzmann method…

Fluid Dynamics · Physics 2017-10-24 Alankar Agarwal , B. Ravindra , Akshay Prakash

We present a lattice-Boltzmann method that can simulate the coupled hydrodynamics and electrostatics equations of motion of a two-phase fluid as a means to model electrowetting phenomena. Our method has the advantage of modelling the…

Fluid Dynamics · Physics 2018-12-17 Élfego Ruiz-Gutiérrez , Rodrigo Ledesma-Aguilar

Entropic lattice Boltzmann methods have been developed to alleviate intrinsic stability issues of lattice Boltzmann models for under-resolved simulations. Its reliability in combination with moving objects was established for various…

Fluid Dynamics · Physics 2017-06-21 B. Dorschner , S. S. Chikatamarla , I. V. Karlin

The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model…

Soft Condensed Matter · Physics 2016-11-15 A. Gupta , M. Sbragaglia