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Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to…

Soft Condensed Matter · Physics 2011-12-16 O. Henrich , D. Marenduzzo , K. Stratford , M. E. Cates

It is proposed a dimensional Lattice Boltzmann Method (LBM) of wide application for simulating fluid flow and heat transfer problems. The proposed LBM consists in the numerical solution of the discrete lattice Boltzmann equation (LBE) using…

Fluid Dynamics · Physics 2024-05-14 Ivan Talão Martins , Pablo Fariñas Alvariño , Luben Cabezas-Gómez

We propose a method to model metallic surfaces in Lattice Boltzmann Electrokinetics simulations (LBE), a lattice-based algorithm rooted in kinetic theory which captures the coupled solvent and ion dynamics in electrolyte solutions. This is…

Computational Physics · Physics 2020-06-19 Adelchi J. Asta , Ivan Palaia , Emmanuel Trizac , Maximilien Levesque , Benjamin Rotenberg

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

Fluid Dynamics · Physics 2025-09-03 Yizhong Chen , Zhibin Wang

We show that, when a single relaxation time lattice Boltzmann algorithm is used to solve the hydrodynamic equations of a binary fluid for which the two components have different viscosities, strong spurious velocities in the steady state…

Computational Physics · Physics 2008-12-09 C. M. Pooley , H. Kusumaatmaja , J. M. Yeomans

This paper describes a work in progress about software and hardware architecture to steer and control an ongoing fluid simulation in a context of a serious game application. We propose to use the Lattice Boltzmann Method as the simulation…

Graphics · Computer Science 2019-12-11 Mengchen Wang , Nicolas Ferey , Patrick Bourdot , Frederic Magoules

The recent development of the lattice gas automata method and its extension to the lattice Boltzmann method have provided new computational schemes for solving a variety of partial differential equations and modeling chemically reacting…

comp-gas · Physics 2008-02-03 S. Chen , S. P. Dawson , G. D. Doolen , D. R. Janecky , A. Lawniczak

We investigate the connections between some simple Maier-Saupe lattice models, with a discrete choice of orientations of the microscopic directors, and a recent proposal of a two-tensor formalism to describe the phase diagrams of nematic…

Soft Condensed Matter · Physics 2016-09-21 E. S. Nascimento , A. P. Vieira , S. R. Salinas

We investigate the coupled dynamics of quantized vortices and normal fluid in superfluid $^4$He at finite temperatures using a numerical approach based on the vortex filament model (VFM) and lattice Boltzmann method (LBM). The LBM allows us…

Other Condensed Matter · Physics 2021-12-22 Sosuke Inui , Makoto Tsubota

A new description of the binary fluid problem via the lattice Boltzmann method is presented which highlights the use of the moments in constructing two equilibrium distribution functions. This offers a number of benefits, including better…

Soft Condensed Matter · Physics 2009-11-10 K. Stratford , R. Adhikari , I. Pagonabarraga , J. -C. Desplat

Fluid-particle systems are very common in many natural processes and engineering applications. However, accurately and efficiently modelling fluid-particle systems with complex particle shapes is still a challenging task. Here, we present a…

Fluid Dynamics · Physics 2023-03-22 Pei Zhang , Ling Qiu , S. A. Galindo-Torres , Yilin Chen , A. Scheuermann , Ling Li

In this work we discuss the coupling of two mesoscopic approaches for fluid dynamics, namely the lattice Boltzmann method (LB) and the multiparticle collision dynamics (MPCD) \cite{kapral2008multiparticle} to design a new class of flexible…

Computational Physics · Physics 2020-04-02 Andrea Montessori , Adriano Tiribocchi , Marco Lauricella , Sauro Succi

We explore possible applications of the Lattice-Boltzmann Method for the simulation of geophysical flows. This fluid solver, while successful in other fields, is still rarely used for geotechnical applications. We show how the standard…

Fluid Dynamics · Physics 2015-09-04 Alessandro Leonardi , Falk K. Wittel , Miller Mendoza , Hans J. Herrmann

We study a simplified system of the original Ericksen--Leslie equations for the flow of nematic liquid crystals. This is a coupled non-parabolic dissipative dynamic system. We show the convergence of global classical solutions to single…

Analysis of PDEs · Mathematics 2010-11-04 Hao Wu

There is a recent interest in studying odd elasticity in soft solids. Current focus has been on simple solids. However, many soft solids are structured and can exhibit nematic elasticity or viscoelasticity. Here we generalize the concept of…

Soft Condensed Matter · Physics 2026-03-19 Zeyang Mou , Haijie Ren , Ding Xu , Igor S. Aranson , Rui Zhang

The Lattice Boltzmann method (LBM) is a well-established mesoscopic approach for simulating fluid dynamics by evolving particle distribution functions on discrete lattices. While the LBM is highly parallelizable on classical hardware, its…

Quantum Physics · Physics 2026-04-14 Trong Duong , Matthias Möller , Norbert Hosters

Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version…

Statistical Mechanics · Physics 2007-05-23 I. V. Karlin , S. Ansumali , E. DE Angelis , H. C. Öttinger , S. Succi

This paper deals with the numerical modelling of the interaction between a fluid and an incompressible solid (Neo Hookean) in small perturbations with the lattice Boltzmann method (LBM). In order to use a monolithic formulation and to solve…

Computational Physics · Physics 2020-11-18 Sébastien Mey , Erwan Liberge , Claudine Béghein

The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel Lattice…

Fluid Dynamics · Physics 2021-03-22 Lukas Werner , Christoph Rettinger , Ulrich Rüde

Nanoporous capsules have been the subject of intense investigation in the field of drug delivery. One of the essential properties of such particles, which requires characterization, is their structure. Many experimental techniques have been…

Fluid Dynamics · Physics 2025-03-14 Wagner Gomes Rodrigues Junior , Vera Bohomoletz Henriques
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