Küng V, Osmanlic F, Markl M, Körner C (2018)
Publication Language: English
Publication Type: Journal article
Publication year: 2018
DOI: 10.1016/j.camwa.2018.01.017
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 Körner (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 Körner (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.
APA:
Küng, V., Osmanlic, F., Markl, M., & Körner, C. (2018). Comparison of passive scalar transport models coupled with the Lattice Boltzmann method. Computers & Mathematics with Applications. https://doi.org/10.1016/j.camwa.2018.01.017
MLA:
Küng, Vera, et al. "Comparison of passive scalar transport models coupled with the Lattice Boltzmann method." Computers & Mathematics with Applications (2018).
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