Results 31 to 40 of about 10,759 (309)

Lattice Boltzmann equation: Failure or success? [PDF]

Physica A: Statistical Mechanics and its Applications, 1997
The lattice Boltzmann equation (LBE) is a microscopically-inspired method designed to solve macroscopic fluid dynamics problems. As a such, it lives at the interface between the microscopic (molecular) and macroscopic (continuum) worlds, hopefully capturing the best of the two.
openaire   +2 more sources

Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

, 2012
Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation ...
Jianping Meng, An, Hongyan, Zhang, Yonghao, Meng, Jian-Ping, Chuhua Zhang, Yonghao Zhang, Hongyan An, Zhang, Chuhua   +7 more
core   +1 more source

Study on lattice Boltzmann method/large eddy simulation and its application at high Reynolds number flow

Advances in Mechanical Engineering, 2015
Lattice Boltzmann method combined with large eddy simulation is developed in the article to simulate fluid flow at high Reynolds numbers. A subgrid model is used as a large eddy simulation model in the numerical simulation for high Reynolds flow.
Haiqing Si, Yan Shi
doaj   +1 more source

A lattice Boltzmann model for Maxwell’s equations

Applied Mathematical Modelling, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Yanhong, Yan, Guangwu
openaire   +1 more source

On equations of state in a lattice Boltzmann method

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander L. Kupershtokh, D. A. Medvedev, D. I. Karpov   +2 more
openaire   +2 more sources

A Simplified Linearized Lattice Boltzmann Method for Acoustic Propagation Simulation

Entropy, 2022
A simplified linearized lattice Boltzmann method (SLLBM) suitable for the simulation of acoustic waves propagation in fluids was proposed herein. Through Chapman–Enskog expansion analysis, the linearized lattice Boltzmann equation (LLBE) was first ...
Qiaochu Song, Rongqian Chen, Shuqi Cao, Jinhua Lou, Ningyu Zhan, Yancheng You   +5 more
doaj   +1 more source

Limit consistency of lattice Boltzmann equations

ESAIM: Mathematical Modelling and Numerical Analysis
We establish the notion of limit consistency as a modular part in proving the consistency of lattice Boltzmann equations (LBEs) with respect to a given partial differential equation (PDE) system. The incompressible Navier–Stokes equations (NSE) are used as a paragon.
Stephan Simonis, Mathias J. Krause
openaire   +4 more sources

Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes

, 2010
To understand lattice Boltzmann model capability for capturing nonequilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated.
Zhang, Yonghao, Meng, Jianping, Meng, Jian-Ping   +2 more
core   +1 more source

Karl Popper and the Mechanisms of Hydrogen Embrittlement

Advanced Engineering Materials, EarlyView.
Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley   +1 more source

Lattice Boltzmann Simulation of Spatial Fractional Convection–Diffusion Equation

Entropy
The space fractional advection–diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper focuses
Xiaohua Bi, Huimin Wang
doaj   +1 more source