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Lattice-Boltzmann coupled models for advection–diffusion flow on a wide range of Péclet numbers
Journal of Computational Science ( IF 2.644 ) Pub Date : 2021-04-07 , DOI: 10.1016/j.jocs.2021.101363
Davide Dapelo, Stephan Simonis, Mathias J. Krause, John Bridgeman

Traditional Lattice-Boltzmann modelling of advection–diffusion flow is affected by numerical instability if the advective term becomes dominant over the diffusive (i.e., high-Péclet flow). To overcome the problem, two 3D one-way coupled models are proposed. In a traditional model, a Lattice-Boltzmann Navier–Stokes solver is coupled to a Lattice-Boltzmann advection–diffusion model. In a novel model, the Lattice-Boltzmann Navier–Stokes solver is coupled to an explicit finite-difference algorithm for advection–diffusion. The finite-difference algorithm also includes a novel approach to mitigate the numerical diffusivity connected with the upwind differentiation scheme.

The models are validated using two non-trivial benchmarks, which includes discontinuous initial conditions and the case Peg for the first time, where Peg is the grid Péclet number. The evaluation of Peg alongside Pe is discussed. Accuracy, stability and the order of convergence are assessed for a wide range of Péclet numbers. Recommendations are then given as to which model to select depending on the value Peg—in particular, it is shown that the coupled finite-difference/Lattice-Boltzmann provide stable solutions in the case Pe, Peg.



中文翻译:

Lattice-Boltzmann耦合模型可在多种佩克利数上进行平流-扩散流

如果平流项对扩散流起主导作用(高佩克莱流),则传统的对流-扩散流的莱迪思-玻尔兹曼模型将受到数值不稳定性的影响。为了克服该问题,提出了两个3D单向耦合模型。在传统模型中,将Lattice-Boltzmann Navier-Stokes解算器与Lattice-Boltzmann对流扩散模型耦合。在一个新颖的模型中,将Lattice-Boltzmann Navier-Stokes求解器与用于对流扩散的显式有限差分算法耦合。有限差分算法还包括一种新颖的方法,以减轻与迎风微分方案相关的数值扩散率。

使用两个不平凡的基准对模型进行了验证,其中包括不连续的初始条件和工况。 PEG 第一次,在哪里 PEG是网格Péclet号。评价PEG 并排 PE讨论。评估范围广泛的Péclet数的准确性,稳定性和收敛性。然后给出有关根据值选择哪种模型的建议PEG-特别是,在这种情况下,耦合的有限差分/格子-玻尔兹曼方程提供了稳定的解决方案 PEPEG

更新日期:2021-04-11
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