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The liquid-gas density ratio is a key property of multiphase flow methods to model real fluid systems. Here, a chemical-potential multiphase lattice Boltzmann method is constructed to realize extremely large density ratios. The simulations…

Computational Physics · Physics 2020-07-15 Binghai Wen , Liang Zhao , Wen Qiu , Yong Ye , Xiaowen Shan

We develop our recently proposed lattice-Boltzmann method for the non-equilibrium dynamics of amphiphilic fluids (Chen, Boghosian, Coveney and Nekovee, Proc. Roy. Soc. London A, 456, 1431 (2000).) Our method maintains an orientational…

Soft Condensed Matter · Physics 2009-10-31 Maziar Nekovee , Peter V. Coveney , Hudong Chen , Bruce M. Boghosian

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 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 describe in detail a recently proposed lattice-Boltzmann model for simulating flows with multiple phases and components. In particular, the focus is on the modeling of one-component fluid systems which obey non-ideal gas equations of…

comp-gas · Physics 2009-10-22 Xiaowen Shan , Hudong Chen

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

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of the model is that it enables to handle multiphase flows…

Computational Physics · Physics 2018-10-23 Hong Liang , Yang Li , Jiangxing Chen , Jiangrong Xu

We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows. The model is fully on-lattice and uses the single relaxation time Bhatnagar-Gross-Krook kinetic equations along with…

Fluid Dynamics · Physics 2021-11-24 M. H. Saadat , S. A. Hosseini , B. Dorschner , I. V. Karlin

Lattice-Boltzmann methods are established mesoscopic numerical schemes for fluid flow, that recover the evolution of macroscopic quantities (viz., velocity and pressure fields) evolving under macroscopic target equations. The approximated…

The lattice Boltzmann method has become a standard technique for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular…

Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for vanishing flow velocity and at a singular value of the temperature. To that end, we…

Fluid Dynamics · Physics 2021-04-28 M. H. Saadat , B. Dorschner , I. V. Karlin

A lattice Boltzmann scheme able to model the hydrodynamics of phase separation and two-phase flow is described. Thermodynamic consistency is ensured by introducing a non-ideal pressure tensor directly into the collision operator. We also…

comp-gas · Physics 2009-10-28 Michael R. Swift , W. R. Osborn , J. M. Yeomans

We show that an hyperbolic system with a mathematical entropy can be discretized with vectorial lattice Boltzmann schemes with the methodology of kinetic representation of the dual entropy. We test this approach for the shallow water…

Numerical Analysis · Mathematics 2014-01-03 François Dubois

A hybrid lattice Boltzmann/finite-difference solver for low Mach thermo-compressible flows developed in earlier works is extended to more realistic and challenging configurations involving turbulence and complex geometries in the present…

Fluid Dynamics · Physics 2022-07-26 S. A. Hosseini , N. Darabiha , D. Thevenin

Lattice Boltzmann method (LBM) simulations of incompressible flows are nowadays common and well-established. However, for compressible turbulent flows with strong variable density and intrinsic compressibility effects, results are…

Fluid Dynamics · Physics 2024-12-13 Philipp Spelten , Dominik Wilde , Mario Christopher Bedrunka , Dirk Reith , Holger Foysi

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…

We present an energy-conserving multiple-relaxation-time finite difference lattice Boltzmann model for compressible flows. This model is based on a 16-discrete-velocity model. The collision step is first calculated in the moment space and…

Statistical Mechanics · Physics 2015-05-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

A numerical method for simulating three-phase flows with moving contact lines on arbitrarily complex surfaces is developed in the framework of lattice Boltzmann method. In this method, the immiscible three-phase flow is modeled through a…

Fluid Dynamics · Physics 2021-07-28 Sheng Li , Yang Lu , Fei Jiang , Haihu Liu

The lattice Boltzmann method (LBM) has gained increasing popularity in incompressible viscous flow simulations, but it uses many more variables than necessary. This defect was overcome by a recent approach that solves the more actual…

Fluid Dynamics · Physics 2021-06-02 Jun-Jie Huang

A GPU-accelerated version of the lattice Boltzmann method for efficient simulation of soft materials is introduced. Unlike standard approaches, this method reconstructs the distribution functions from available hydrodynamic variables…