Comparison of passive scalar transport models coupled with the Lattice Boltzmann method
Comparison of passive scalar transport models coupled with the Lattice Boltzmann method
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DOI：
10.1016/j.camwa.2018.01.017
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发表时间：
2020-01-01
影响因子：
2.9
通讯作者：
Koerner, C.
中科院分区：
文献类型：
--
作者：
Kueng, V. E.;Osmanlic, F.;Koerner, C.
复杂的流体流动通常涉及随流场传输的被动标量，但可以忽略流体运动，例如浓度分布。标记或温度场。使用格子玻尔兹曼（LB）方法的流体动力学模拟，不同的方法耦合对流求解器的流体运动存在。这项工作的目的是给一个概述四种不同的方法用于解决对流方程。其中两个求解器基于有限差分，即Lax-Wendroff方法（Lax和Wendroff，1960）和Succi等人（1999）的扩展，人为地减少了数值扩散。另外两种方法Onishi et al.（2005）和Osmanlic and Korner（2016）利用了已经可用的LB分布函数，而不是仅依赖于宏观量。在Onishi等人（2005年）的分析中，局部浓度通量直接从分布函数计算，而Osmanlic和Korner（2016年）使用的类似方法中，在输入和输出通量之间进行了额外的情况区分。除了研究精度和网格依赖性的顺序外，数值扩散被仔细检查，其目的是模拟仅由平流确定并且不包含物理扩散的流体流动。(C)2018爱思唯尔有限公司版权所有。
A complex fluid flow often involves passive scalars that are transported with the flow field but can be neglected regarding the fluid motion, such as concentration distributions. markers, or temperature fields. Using the Lattice Boltzmann (LB) method for fluid dynamic simulations, different approaches for coupling advection solvers to the fluid motion exist. The aim of this work is to give an overview of four different methods used for solving the advection equation. Two of these solvers are based on finite differences, namely the Lax-Wendroff method (Lax and Wendroff, 1960) and an extension from Succi et al. (1999) that artificially reduces numerical diffusion. The other two methods Onishi et al. (2005) and Osmanlic and Korner (2016) take advantage of the already available LB distribution functions, instead of depending on macroscopic quantities only. In the ansatz of Onishi et al. (2005) the local concentration flux is calculated from distribution functions directly, while in a similar approach used by Osmanlic and Korner (2016) an additional case distinction is made between incoming and outgoing flux.Besides investigating the order of accuracy and grid dependency, numerical diffusion is examined closely with the objective to simulate fluid flow that is solely determined by advection and contains no physical diffusion. (C) 2018 Elsevier Ltd. All rights reserved.