Krüger T, Varnik F, Raabe D
Max-Planck-Institut für Eisenforschung, Max-Planck-Strasse 1, 40237 Düsseldorf, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Aug;82(2 Pt 2):025701. doi: 10.1103/PhysRevE.82.025701. Epub 2010 Aug 4.
It is shown numerically that the deviatoric stress tensor is second-order accurate in the bulk Bhatnagar-Gross-Krook lattice Boltzmann (LB) method. In an earlier work [T. Krüger, Phys. Rev. E 79, 46704 (2009)], we have already predicted the second-order convergence. However, numerical simulations using a duct flow were not fully in line with this prediction. In particular, the convergence rate of the stress tensor was observed to depend on the LB boundary condition. In the present paper, we examine a pure bulk system, the decaying Taylor-Green vortex flow. Our prediction on the second-order accuracy of the stress tensor is unambiguously evidenced via these studies.
数值结果表明，在体Bhatnagar-Gross-Krook格子玻尔兹曼（LB）方法中，偏应力张量具有二阶精度。在早期工作中[T. Krüger, Phys. Rev. E 79, 46704 (2009)]，我们已经预测了二阶收敛性。然而，使用管道流的数值模拟结果与该预测并不完全一致。特别是，观察到应力张量的收敛速率取决于LB边界条件。在本文中，我们研究了一个纯体系统，即衰减的泰勒-格林涡旋流。通过这些研究，我们关于应力张量二阶精度的预测得到了明确验证。
