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Related papers: Comparison of Simulations of Convective Flows

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We present results from numerical simulations of Rayleigh-Taylor turbulence, performed using a recently proposed lattice Boltzmann method able to describe consistently a thermal compressible flow subject to an external forcing. The method…

Fluid Dynamics · Physics 2015-05-20 A. Scagliarini , L. Biferale , M. Sbragaglia , K. Sugiyama , F. Toschi

The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the…

Statistical Mechanics · Physics 2007-05-23 S. Ansumali , I. V. Karlin

Pool boiling characteristics in two computational domains with and without considering conjugate heat transfer (CHT) were numerically simulated by an improved hybrid pseudopotential phase-change lattice Boltzmann method (LBM). The effects…

Fluid Dynamics · Physics 2019-12-03 Wandong Zhao , Jianhan Liang , Mingbo Sun , Xiaodong Cai , Peibo Li

We developed a general framework for simulating multicomponent and multiphase systems using the lattice Boltzmann framework. Despite the fact that there is no restriction on the number of components in principle, in this article we focus an…

Soft Condensed Matter · Physics 2018-10-24 Kent S. Ridl , Alexander J. Wagner

Diffusion phenomena in a multiple component lattice Boltzmann Equation (LBE) model are discussed in detail. The mass fluxes associated with different mechanical driving forces are obtained using a Chapman-Enskog analysis. This model is…

comp-gas · Physics 2009-10-28 Xiaowen Shan , Gary Doolen

We introduce a non-reflecting boundary condition for the simulation of thermal flows with the lattice Boltzmann Method (LBM). We base the derivation on the locally one-dimensional inviscid analysis, and define target macroscopic values at…

Computational Physics · Physics 2024-01-24 Friedemann Klass , Alessandro Gabbana , Andreas Bartel

Although Lattice Boltzmann Method (LBM) is relatively straightforward, it demands a well-crafted framework to handle the complex partial differential equations involved in multiphase flow simulations. For the first time to our knowledge,…

Numerical Analysis · Mathematics 2026-04-02 Matteo Maria Piredda , Pietro Asinari

This article concerns numerical simulations of the dynamics of particles immersed in a continuum solvent. As prototypical systems, we consider colloidal dispersions of spherical particles and solutions of uncharged polymers. After a brief…

Soft Condensed Matter · Physics 2009-11-13 Burkhard Duenweg , Anthony J. C. Ladd

We propose to extend the d'Humi\'eres version of the lattice Boltzmann scheme to triangular meshes. We use Bravais lattices or more general lattices with the property that the degree of each internal vertex is supposed to be constant. On…

Numerical Analysis · Mathematics 2014-05-06 François Dubois , Pierre Lallemand

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

A quadrature-based finite-difference lattice Boltzmann model is developed that is suitable for simulating relativistic flows of massless particles. We briefly review the relativistc Boltzmann equation and present our model. The quadrature…

Fluid Dynamics · Physics 2017-09-26 Robert Blaga , Victor E. Ambrus

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

Quantum Gases · Physics 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

We present a numerical scheme for simulating the dynamics of Brownian particles suspended in a fluid. The motion of the particles is tracked by the Langevin equation, whereas the host fluid flow is analyzed by using the lattice Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

We present a simulation scheme for discrete-velocity gases based on {\em local thermodynamic equilibrium}. Exploiting the kinetic nature of discrete-velocity gases, in that context, results in a natural splitting of fluxes, and the…

comp-gas · Physics 2008-02-03 Balu Nadiga , Dale Pullin

The motion of ionic solutes and charged particles under the influence of an electric field and the ensuing hydrodynamic flow of the underlying solvent is ubiquitous in aqueous colloidal suspensions. The physics of such systems is described…

The interaction of localised solitary waves with large-scale, time-varying dispersive mean flows subject to nonconvex flux is studied in the framework of the modified Korteweg-de Vries (mKdV) equation, a canonical model for nonlinear…

Pattern Formation and Solitons · Physics 2021-11-01 Kiera van der Sande , Gennady A. El , Mark A. Hoefer

In this paper, a multiple-distribution-function lattice Boltzmann method (MDF-LBM) with multiple-relaxation-time model is proposed for incompressible Navier-Stokes equations (NSEs) which are considered as the coupled convection-diffusion…

Computational Physics · Physics 2022-11-23 Zhenhua Chai , Baochang Shi , Chengjie Zhan

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

This article proposes a derivation of the Vlasov-Navier-Stokes system for spray/aerosol flows. The distribution function of the dispersed phase is governed by a Vlasov-equation, while the velocity field of the propellant satisfies the…

Analysis of PDEs · Mathematics 2017-07-18 Etienne Bernard , Laurent Desvillettes , François Golse , Valeria Ricci

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