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A new lattice Boltzmann model for multicomponent ideal gas mixtures is presented. The model development consists of two parts. First, a new kinetic model for Stefan- Maxwell diffusion amongst the species is proposed and realized as a…

流体动力学 · 物理学 2020-12-23 N. Sawant , B. Dorschner , I. V. Karlin

The phenomena of diffusion in multicomponent (more than two components) mixtures are very universal in both science and engineering, and from mathematical point of view, they are usually described by the Maxwell-Stefan (MS) based continuum…

计算物理 · 物理学 2019-02-27 Zhenhua Chai , Xiuya Guo , Lei Wang , Baochang Shi

A new lattice Boltzmann model for reactive ideal gas mixtures is presented. The model is an extension to reactive flows of the recently proposed multi-component lattice Boltzmann model for compressible ideal gas mixtures with Stefan-Maxwell…

流体动力学 · 物理学 2021-01-06 N. Sawant , B. Dorschner , I. V. Karlin

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 · 物理学 2009-10-28 Xiaowen Shan , Gary Doolen

A new lattice Boltzmann model (LBM) is presented to describe chemically reacting multicomponent fluid flow in homogenised porous media. In this work, towards further generalizing the multicomponent reactive lattice Boltzmann model, we…

流体动力学 · 物理学 2024-09-06 Nilesh Sawant , Ilya Karlin

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

介观与纳米尺度物理 · 物理学 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

A previously proposed [X. Shan and H. Chen, Phys. Rev. E {\bf 47}, 1815, (1993)] lattice Boltzmann model for simulating fluids with multiple components and interparticle forces is described in detail. Macroscopic equations governing the…

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

We introduce a novel mesoscopic computational model based on a multiphase-multicomponent lattice Boltzmann method for the simulation of self-phoretic particles in the presence of liquid-liquid interfaces. Our model features fully resolved…

软凝聚态物质 · 物理学 2022-06-22 Lucas Palacios , Andrea Scagliarini , Ignacio Pagonabarraga

In this work, we first develop a general mesoscopic multiple-relaxation-time lattice Boltzmann (MRT-LB) model for the two-dimensional diffusion equation with the constant diffusion coefficient and source term, where the D2Q5 (five discrete…

数值分析 · 数学 2023-08-11 Ying Chen , Zhenhua Chai , Baochang Shi

The free energy model can extend the Lattice Boltzmann method to multiphase systems. However, there is a lack of models capable of simulating multicomponent multiphase fluids with partial miscibility. In addition, existing models cannot be…

流体动力学 · 物理学 2023-01-19 Muzammil Soomro , Luis F. Ayala , Cheng Peng , Orlando M. Ayala

We present an energy-conserving multiple-relaxation-time finite difference lattice Boltzmann model for compressible flows. This model is based on a 16-discrete-velocity model. The collision step is first calculated in the moment space and…

统计力学 · 物理学 2015-05-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

A framework of finite-velocity model based Boltzmann equation has been developed for convection-diffusion equations. These velocities are kept flexible and adjusted to control numerical diffusion. A flux difference splitting based kinetic…

数值分析 · 数学 2024-10-01 S. V. Raghurama Rao , K. S. Shrinath , Ankit Ruhi , Veeredhi Vasudeva Rao

Multi-component lattice Boltzmann models operating in a wide range of fluid viscosity values are developed and examined. The algorithm is constructed with the goal to enable engineering applications without sacrificing simplicity and…

We present a highly efficient lattice Boltzmann (LB) kinetic model for thermal liquid-vapor system. Three key components are as beow: (i) a discrete velocity model by Kataoka \emph{et al.} [Phys. Rev. E \textbf{69}, 035701(R)(2004)]; (ii) a…

软凝聚态物质 · 物理学 2014-03-18 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Junqi Wang , Xijun Yu , Yang Yang

In this paper, we propose a lattice Boltzmann (LB) model for the generalized coupled cross-diffusion-fluid system. Through the direct Taylor expansion method, the proposed LB model can correctly recover the macroscopic equations. The cross…

流体动力学 · 物理学 2021-11-02 Chengjie Zhan , Zhenhua Chai , Baochang Shi

Lattice gas and lattice Boltzmann methods are recently developed numerical schemes for simulating a variety of physical systems. In this paper a new lattice Boltzmann model for modeling two-dimensional incompressible magnetohydrodynamics…

comp-gas · 物理学 2009-10-22 Daniel Martinez , Shiyi Chen , William Matthaeus

When simulating multicomponent mixtures via the Lattice Boltzmann Method, it is desirable to control the mutual diffusivity between species while maintaining the viscosity of the solution fixed. This goal is herein achieved by a…

In this paper, we present splitting algorithms to solve multicomponent transport models with Maxwell-Stefan-diffusion approaches. The multicomponent models are related to transport problems, while we consider plasma processes, in which the…

数值分析 · 数学 2023-06-27 Juergen Geiser

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…

流体动力学 · 物理学 2015-09-10 S. Schmieschek , D. K. N. Sinz , F. Keller , U. Nieken , J. Harting

Fluid, heat and species transport and oxygen reduction in the cathode of a PEM fuel cell are simulated using multi relaxation lattice Boltzmann method. Heat generation due to oxygen reduction and its effects on transport and reaction are…

流体动力学 · 物理学 2021-03-03 M. Jithin , Saurabh Siddharth , Malay K. Das , Ashoke De
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