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We present a free energy lattice Boltzmann model capable of simulating fluid systems with an arbitrary number of immiscible components in principle. Our method is strictly reduction consistent, ensuring that absent fluid components do not…

Many catalyst devices employ flow through porous structures, which leads to a complex macroscopic mass and heat transport. To unravel the detailed dynamics of the reactive gas flow, we present an all-encompassing model, consisting of…

Fluid Dynamics · Physics 2020-06-08 Nadiia Kulyk , Daniel Berger , Ana-Sunčana Smith , Jens Harting

The phenomenon of apparent slip in micro-channel flows is analyzed by means of a two-phase mesoscopic lattice Boltzmann model including non-ideal fluid-fluid and fluid-wall interactins. The weakly-inhomogeneous limit of this model is solved…

Fluid Dynamics · Physics 2016-09-08 R. Benzi , L. Biferale , M. Sbragaglia , S. Succi , F. Toschi

We present a progress report on our work on lattice Boltzmann methods for colloidal suspensions. We focus on the treatment of colloidal particles in binary solvents and on the inclusion of thermal noise. For a benchmark problem of colloids…

Soft Condensed Matter · Physics 2009-11-10 M. E. Cates , K. Stratford , R. Adhikari , P. Stansell , J. -C. Desplat , I. Pagonabarraga , A. J. Wagner

We show that all existing methods quantifying rotational motion in molecular fluids eventually fail in systems undergoing complex rotational motion characterised by slow, heterogeneous, or intermittent dynamics. This impacts in particular…

Statistical Mechanics · Physics 2026-04-24 Romain Simon , Hadrien Bobas , François Villemot , Jean-Louis Barrat , Ludovic Berthier

Recently, Murthy et al. [2017] and Escande et al. [2020] adopted the Lattice Boltzmann Method (LBM) to model the linear elastodynamic behaviour of isotropic solids. The LBM is attractive as an elastodynamic solver because it can be…

Computational Engineering, Finance, and Science · Computer Science 2024-08-20 Erik Faust , Alexander Schlüter , Henning Müller , Ralf Müller

We propose a generalisation of molecular density functional theory to describe inhomogeneous solvent mixture, with the objective of modelling electrolytic solutions. Two electrolytic models are presented, both within the HNC approximation.…

Chemical Physics · Physics 2025-11-13 Guillaume Jeanmairet , Luc Belloni , Daniel Borgis

In the present contribution, we derive from kinetic theory a unified fluid model for multicomponent plasmas by accounting for the electromagnetic field influence. We deal with a possible thermal nonequilibrium of the translational energy of…

Plasma Physics · Physics 2011-03-07 Benjamin Graille , Thierry E. Magin , Marc Massot

We study the deformation and motion of an erythrocyte in fluid flows via a lattice Boltzmann method. To this purpose, the bending rigidity and the elastic modulus of isotropic dilation are introduced and incorporated with the lattice…

Fluid Dynamics · Physics 2007-05-23 Huabing Li , Houhui Yi , Xiaowen Shan , Haiping Fang

A simple and efficient one-dimensional discrete Boltzmann method is developed for compressible flows with tunable specific heat ratios by incorporating extra degrees of freedom. To guarantee Galilean invariance in numerical simulations, a…

Fluid Dynamics · Physics 2026-03-03 Yaofeng Li , Chuandong Lin

Fluid-dynamical equations of motion can be derived from the Boltzmann equation in terms of an expansion around a single-particle distribution function which is in local thermodynamical equilibrium, i.e., isotropic in momentum space in the…

Nuclear Theory · Physics 2016-06-29 E. Molnar , H. Niemi , D. H. Rischke

The lattice Boltzmann method can be used to simulate flow through porous media with full geometrical resolution. With such a direct numerical simulation, it becomes possible to study fundamental effects which are difficult to assess either…

Computational Engineering, Finance, and Science · Computer Science 2015-08-13 Ehsan Fattahia , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde , Michael Manhart , Rainer Helmig

We present a brief review of the classical density functional theory of atomic and molecular fluids. We focus on the application of the theory to the determination of the solvation properties of arbitrary molecular solutes in arbitrary…

Chemical Physics · Physics 2015-04-06 Guillaume Jeanmairet , Maximilien Levesque , Volodymyr Sergiievskyi , Daniel Borgis

In this work, a central-moment-based discrete Boltzmann method (CDBM) is constructed for fluid flows with variable specific heat ratios. The central kinetic moments are employed to calculate the equilibrium discrete velocity distribution…

Fluid Dynamics · Physics 2025-02-25 Chuandong Lin , Xianli Su , Linlin Fei , Kai Hong Luo

We present a highly efficient lattice Boltzmann (LB) kinetic model for thermal liquid-vapor system. Three key components are as beow: (i) a discrete velocity model by Kataoka \emph{et al.} [Phys. Rev. E \textbf{69}, 035701(R)(2004)]; (ii) a…

Soft Condensed Matter · Physics 2014-03-18 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Junqi Wang , Xijun Yu , Yang Yang

Extending the famous Model B for the time evolution of a liquid mixture, we derive an approximate expression for the mobility matrix that couples the different mixture components. This approach is based on a single component fluid with…

Statistical Mechanics · Physics 2023-06-21 Maryam Akaberian , Filipe C Thewes , Peter Sollich , Matthias Krüger

Phase separation of binary fluids quenched by contact with cold external walls is considered. Navier-Stokes, convection-diffusion, and energy equations are solved by lattice Boltzmann method coupled with finite-difference schemes. At high…

Soft Condensed Matter · Physics 2015-05-20 G. Gonnella , A. Lamura , A. Piscitelli , A. Tiribocchi

A classical density functional theory is applied to study solvation of solutes in water. An approx- imate form of the excess functional is proposed for water. This functional requires the knowledge of pure solvent direct correlation…

Chemical Physics · Physics 2014-09-01 Guillaume Jeanmairet

We determine properties of the lattice Boltzmann method for semiclassical fluids, which is based on the Boltzmann equation and the equilibrium distribution function is given either by the Bose-Einstein or the Fermi-Dirac ones. New…

Fluid Dynamics · Physics 2018-02-23 Rodrigo C. V. Coelho , Mauro M. Doria

The Boltzmann kinetic theory for a model of a confined quasi-two dimensional granular mixture derived previously [Garz\'o, Brito and Soto, Phys. Fluids \textbf{33}, 023310 (2021)] is considered further to analyze two different problems.…

Soft Condensed Matter · Physics 2024-03-07 Vicente Garzó , Ricardo Brito , Rodrigo Soto
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