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Substantial experimental, theoretical, as well as numerical effort has been invested to understand the effect of boundary slippage in microfluidic devices. However, even though such devices are becoming increasingly important in scientific,…

Soft Condensed Matter · Physics 2008-06-24 Christian Kunert , Jens Harting

Many modern production and measurement facilities incorporate multiphase systems at low pressures. In this region of flows at small, non-zero Knudsen- and low Mach numbers the classical mesoscopic Monte Carlo methods become increasingly…

Fluid Dynamics · Physics 2015-09-10 S. Schmieschek , D. K. N. Sinz , F. Keller , U. Nieken , J. Harting

A detailed derivation of the Lattice Boltzmann (LB) scheme for relativistic fluids recently proposed in Ref. [1], is presented. The method is numerically validated and applied to the case of two quite different relativistic fluid dynamic…

Solar and Stellar Astrophysics · Physics 2010-12-28 M. Mendoza , B. M. Boghosian , H. J. Herrmann , S. Succi

We present a two-way coupled fluid-structure interaction scheme for rigid bodies using a two-population lattice Boltzmann formulation for compressible flows. Arbitrary Lagrangian-Eulerian formulation of the discrete Boltzmann equation on…

Fluid Dynamics · Physics 2021-11-03 Abhimanyu Bhadauria , Benedikt Dorschner , Ilya Karlin

The dynamics of the cavitation bubble collapse is a fundamental issue for the bubble collapse application and prevention. In present work, the modified forcing scheme for the pseudopotential multi-relaxation-time lattice Boltzmann model…

Fluid Dynamics · Physics 2016-10-12 Ming-Lei Shan , Chang-Ping Zhu , Cheng Yao , Cheng Yin , Xiao-Yan Jiang

A novel hybrid computational method based on the discrete-velocity (DV) approximation, including the lattice-Boltzmann (LB) technique, is proposed. Numerical schemes for the kinetic equations are used in regions of rarefied flows, and LB…

Computational Physics · Physics 2019-10-14 V. V. Aristov , O. V. Ilyin , O. A. Rogozin

We report results of lattice Boltzmann simulations of a high-speed drainage of liquid films squeezed between a smooth sphere and a randomly rough plane. A significant decrease in the hydrodynamic resistance force as compared with that…

Fluid Dynamics · Physics 2010-07-01 Christian Kunert , Jens Harting , Olga I. Vinogradova

In this work an optimized multicomponent lattice Boltzmann (LB) model is deployed to simulate axisymmetric turbulent jets of a fluid evolving in a quiescent, immiscible environment over a wide range of dynamic regimes. The implementation of…

Fluid Dynamics · Physics 2024-03-26 Andrea Montessori , Luiz A. Hegele , Marco Lauricella

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

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

A new volumetric-type boundary treatment is introduced for the lattice Boltzmann method. Populations are projected onto a discontinuous piecewise linear basis and streamed using an exact geometrical mapping. The method is implemented in 2D…

Computational Physics · Physics 2025-09-11 Kaj Hoefnagel , Damiano Casalino , Steven Hulshoff , Frits de Prenter

This paper investigates wall boundary condition schemes for the simulation of turbulent flows using the Lattice Boltzmann method (LBM) coupled to turbulence models with wall functions. The analysis focuses on two schemes: a regularized…

Fluid Dynamics · Physics 2025-09-03 Jorge Ponsin , Carlos Lozano

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

A thorough study of shear stress within the lattice Boltzmann method is provided. Via standard multiscale Chapman-Enskog expansion we investigate the dependence of the error in shear stress on grid resolution showing that the shear stress…

Other Condensed Matter · Physics 2010-01-29 Timm Krüger , Fathollah Varnik , Dierk Raabe

Kinetic approaches, i.e., methods based on the lattice Boltzmann equations, have long been recognized as an appealing alternative for solving incompressible Navier-Stokes equations in computational fluid dynamics. However, such approaches…

Graphics · Computer Science 2018-07-09 Wei Li , Kai Bai , Xiaopei Liu

We propose a kinetic framework for single-component non-ideal isothermal flows. Starting from a kinetic model for a non-ideal fluid, we show that under conventional scaling the Navier-Stokes equations with a non-ideal equation of state are…

Fluid Dynamics · Physics 2022-12-14 S. A. Hosseini , B. Dorschner , I. V. Karlin

Lattice Boltzmann methods are usually derived under the assumption of isotropy. In this work, we present a derivation of a Lattice Boltzmann method for anisotropic fluid flow. Starting from an anisotropic equilibrium distribution, we show a…

Fluid Dynamics · Physics 2026-05-27 Benjamin Kellers , Julius Weinmiller , Arnulf Latz , Timo Danner

In a recent paper by Lasseux, Vald\'{e}s-Parada and Porter (J.~Fluid~Mech. \textbf{805} (2016) 118-146), it is found that the apparent gas permeability of the porous media is a nonlinear function of the Knudsen number. However, this result…

Fluid Dynamics · Physics 2017-02-15 Lei Wu , Minh Tuan Ho , Lefki Germanou , Xiao-Jun Gu , Chang Liu , Kun Xu , Yonghao Zhang

Galilean invariance is a fundamental property; however, although the lattice Boltzmann equation itself is Galilean invariant, this property is usually not taken into account in the treatment of the fluid-solid interface. Here, we show that…

Fluid Dynamics · Physics 2015-06-15 Binghai Wen , Chaoying Zhang , Yusong Tu , Chunlei Wang , Haiping Fang

The acoustic waves generated by moving bodies and the movement of bodies by acoustic waves are central phenomena in the operation of musical instruments and in everyday's experiences like the movement of a boat on a lake by the wake…

Computational Physics · Physics 2018-11-05 A. M. Velasco , J. D. Muñoz
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