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In this article we use a lattice-Boltzmann simulation to examine the effects of shear flow on a equilibrium droplet in a phase separated binary mixture. We find that large drops break up as the shear is increased but small drops dissolve.…

Soft Condensed Matter · Physics 2009-10-30 Alexander J. Wagner , J. M. Yeomans

We propose an accelerated computational fluid dynamics framework based on a hybrid Fourier Neural Operator-Lattice Boltzmann Method (FNO-LBM) for steady and unsteady weakly compressible flows. FNO-based initialization significantly…

Fluid Dynamics · Physics 2026-05-01 Alexandra Junk , Josef M. Winter , Meike Tütken , Steffen Schmidt , Nikolaus A. Adams

In this paper, analytic relations between the macroscopic variables and the mesoscopic variables are derived for lattice Boltzmann methods (LBM). The analytic relations are achieved by two different methods for the exchange from velocity…

Fluid Dynamics · Physics 2015-03-19 Hui Xu , Huibao Luan , Yaling He , Wenquan Tao

We derive the partial differential equation (PDE) to which the pseudo-potential lattice Boltzmann method (P-LBM) converges under diffusive scaling, providing a rigorous basis for its consistency analysis. By establishing a direct link…

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics in three dimensions. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be…

Statistical Mechanics · Physics 2007-05-23 C. Denniston , D. Marenduzzo , E. Orlandini , J. M. Yeomans

We investigate two-fluid BGK kinetic methods for binary fluids. The developed theory works for asymmetric as well as symmetric systems. For symmetric systems it recovers Sirovich's theory and is summarized in models A and B. For asymmetric…

Soft Condensed Matter · Physics 2009-11-10 Aiguo Xu

Lattice Boltzmann methods are a popular mesoscopic alternative to macroscopic computational fluid dynamics solvers. Many variants have been developed that vary in complexity, accuracy, and computational cost. Extensions are available to…

Mathematical Software · Computer Science 2020-04-14 Martin Bauer , Harald Köstler , Ulrich Rüde

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture undergoing phase separation with full hydrodynamics in two dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite…

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

We present a lattice Boltzmann algorithm based on an underlying free energy that allows the simulation of the dynamics of a multicomponent system with an arbitrary number of components. The thermodynamic properties, such as the chemical…

Soft Condensed Matter · Physics 2009-11-13 Qun Li , A. J. Wagner

We present a hybrid lattice Boltzmann algorithm for the simulation of flow glass-forming fluids, characterized by slow structural relaxation, at the level of the Navier-Stokes equation. The fluid is described in terms of a nonlinear…

Soft Condensed Matter · Physics 2015-04-24 S. Papenkort , Th. Voigtmann

Numerical simulation results of basic exactly solvable fluid flows using the previously proposed Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented. As was noted in the theoretical work of H.…

Fluid Dynamics · Physics 2023-01-12 Alexei Chekhlov , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

In this paper, a coupling lattice Boltzmann (LB) model for simulating thermal flows on the standard D2Q9 lattice is developed in the framework of the double-distribution-function (DDF) approach in which the viscous heat dissipation and…

Computational Physics · Physics 2012-02-07 Q. Li , K. H. Luo , Y. L. He , Y. J. Gao , W. Q. Tao

We propose an enhanced wall-boundary treatment for the lattice Boltzmann method (LBM), designed for high-Reynolds-number turbulent flows on adaptively refined Cartesian grids. The method improves the slip-velocity bounce-back scheme by…

Fluid Dynamics · Physics 2026-01-27 Jorge Ponsin , Carlos Lozano

The Lattice-Boltzmann method is a mesoscopic approach for solving hydrodynamic problems involving both laminar and turbulent fluids. Although the suitability for the former cases is supported by a myriad of studies, turbulent flows always…

Fluid Dynamics · Physics 2026-04-08 Raquel Dapena-García , Vicente Pérez-Muñuzuri

In this paper, we present a simple and accurate lattice Boltzmann (LB) model for immiscible two-phase flows, which is able to deal with large density contrasts. This model utilizes two LB equations, one of which is used to solve the…

Computational Physics · Physics 2018-09-12 Hong Liang , Jiangrong Xu , Jiangxing Chen , Huili Wang , Zhenhua Chai , Baochang Shi

Using a Lattice Boltzmann hydrodynamic computational modeler to simulate relativistic fluid systems we explore turbulence in two-dimensional relativistic flows. We first a give a pedagogical description of the phenomenon of turbulence and…

Strongly Correlated Electrons · Physics 2022-05-11 Mark Watson

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

This study introduces a novel fluctuating lattice Boltzmann (LB) method for simulating viscoelastic fluid flows governed by the Oldroyd-B model. In contrast to conventional LB approaches that explicitly compute the divergence of the polymer…

Fluid Dynamics · Physics 2025-06-17 Juanyong Wang , Xinyue Liu , Lei Wang , Yuan Yu , Yiran Ji

The lattice Boltzmann method (LBM) is an efficient simulation technique for computational fluid mechanics and beyond. It is based on a simple stream-and-collide algorithm on Cartesian grids, which is easily compatible with modern machine…

Computational Physics · Physics 2021-11-18 Mario Christopher Bedrunka , Dominik Wilde , Martin Kliemank , Dirk Reith , Holger Foysi , Andreas Krämer

Through this research, embedded synthetic fracture networks in rock masses are studied. To analysis the fluid flow complexity in fracture networks with respect to the variation of connectivity patterns, two different approaches are…

Computational Engineering, Finance, and Science · Computer Science 2012-02-23 H. O. Ghaffari , M. H. B. Nasseri , R. P. Young