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We present a numerical analysis of the validity of classical and generalized hydrodynamics for Lattice Boltzmann Equation (LBE) and Lattice BGK methods in two and three dimensions, as a function of the collision parameters of these models.…

comp-gas · Physics 2009-10-22 O. Behrend , R. Harris , P. Warren

Discrete particle simulation, a combined approach of computational fluid dynamics and discrete methods such as DEM (Discrete Element Method), DSMC (Direct Simulation Monte Carlo), SPH (Smoothed Particle Hydrodynamics), PIC…

Fluid Dynamics · Physics 2014-06-20 Limin Wang , Bo Zhang , Xiaowei Wang , Wei Ge , Jinghai Li

We present a new derivation of the momentum exchange method to compute the flow force and torque on a submerged body in lattice Boltzmann methods. Our derivation does not depend on a particular implementation of the boundary conditions at…

Fluid Dynamics · Physics 2015-12-09 Juan P. Giovacchini , Omar E. Ortiz

We present a hybrid method for the simulation of colloidal systems, that combines molecular dynamics (MD) with the Lattice-Boltzmann (LB) scheme. The LB method is used as a model for the solvent in order to take into account the…

Soft Condensed Matter · Physics 2009-11-11 Apratim Chatterji , Juergen Horbach

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

Immiscible fluid displacement in porous media occurs in several natural and industrial processes. For example, during petroleum extraction from porous rock reservoirs, water is used to displace oil. In this paper, we investigate primary…

Fluid Dynamics · Physics 2022-02-03 M. Sedahmed , R. C. V. Coelho , H. A. Warda

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

Simulating inhomogeneous flows with different characteristic scales in different coordinate directions using the collide-and-stream based lattice Boltzmann methods (LBM) can be accomplished efficiently using rectangular lattice grids. We…

Fluid Dynamics · Physics 2021-06-02 Eman Yahia , Kannan Premnath

The lattice Boltzmann model is a simplified kinetic method based on the particle distribution function. We use this method to simulate problems in MEMS, in which the velocity slip near the wall plays an important role. It is demonstrated…

comp-gas · Physics 2007-05-23 Xiaobo Nie , Gary D. Doolen , Shiyi Chen

A novel lattice Boltzmann (LB) model for multiphase flows is developed that complies with the thermodynamic foundations of kinetic theory. By directly devising the collision term for LB equation at the discrete level, a self-tuning equation…

Computational Physics · Physics 2019-02-13 Rongzong Huang , Huiying Wu , Nikolaus A. Adams

This work presents the Lagrangian entropic lattice Boltzmann method (LELBM), a novel framework for supersonic lattice Boltzmann method that surpasses traditional restrictions on velocity, temperature, viscosity, and memory, resulting in…

Fluid Dynamics · Physics 2025-08-12 Woohyuk Noh , Changhoon Lee

Thermal fluctuations play a central role in fluid dynamics at mesoscopic scales and must be incorporated into numerical schemes in a manner consistent with statistical mechanics. In this work, we develop a fluctuating lattice Boltzmann…

Fluid Dynamics · Physics 2026-02-19 Alessandro De Rosis , Yang Zhou

This paper describes `Ludwig', a versatile code for the simulation of Lattice-Boltzmann (LB) models in 3-D on cubic lattices. In fact `Ludwig' is not a single code, but a set of codes that share certain common routines, such as I/O and…

Soft Condensed Matter · Physics 2009-10-31 Jean-Christophe Desplat , Ignacio Pagonabarraga , Peter Bladon

Modelling the vascular transport and adhesion of man-made particles is crucial for optimizing their efficacy in the detection and treatment of diseases. Here, a Lattice Boltzmann and Immersed Boundary methods are combined together for…

Fluid Dynamics · Physics 2016-06-07 Alessandro Coclite , Marco Donato de Tullio , Giuseppe Pascazio , Paolo Decuzzi

In this paper, we study the two dimensional lattice Boltzmann BGK model (LBGK) by analytically solving a simple flow in a 2~-D channel. The flow is driven by the movement of upper boundary with vertical injection fluid at the porous…

comp-gas · Physics 2016-08-31 Xiaoyi He , Qisu Zou

In this paper, we present the algorithm for the simulation of a single bubble rising in a stagnant liquid using Euler-Lagrangian (EL) approach. The continuous liquid phase is modeled using BGK approximation of lattice Boltzmann method…

Fluid Dynamics · Physics 2017-10-24 Alankar Agarwal , B. Ravindra , Akshay Prakash

We present a new formulation of the central moment lattice Boltzmann (LB) method based on a continuous Fokker-Planck (FP) kinetic model, originally proposed for stochastic diffusive-drift processes (e.g., Brownian dynamics), by adapting it…

Fluid Dynamics · Physics 2024-10-15 William Schupbach , Kannan Premnath

We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, diffusion, surface…

Soft Condensed Matter · Physics 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

A method is described for embedding a deformable, elastic, membrane within a lattice Boltzmann fluid. The membrane is represented by a set of massless points which advect with the fluid and which impose forces on the fluid which are derived…

Soft Condensed Matter · Physics 2007-05-23 S V Lishchuk , C M Care

The complexity of the interactions between the constituent granular and liquid phases of a suspension requires an adequate treatment of the constituents themselves. A promising way for numerical simulations of such systems is given by…

Soft Condensed Matter · Physics 2015-09-09 A. Leonardi , F. K. Wittel , M. Mendoza , H. J. Herrmann