Direct numerical simulation of decaying homogeneous isotropic turbulence — numerical experiments on stability, consistency and accuracy of distinct lattice Boltzmann methods
Direct numerical simulation of decaying homogeneous isotropic turbulence — numerical experiments on stability, consistency and accuracy of distinct lattice Boltzmann methods
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衰减均匀各向同性湍流的直接数值模拟——不同格子玻尔兹曼方法的稳定性、一致性和准确性的数值实验
DOI：
10.1142/s0129183119500748
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发表时间：
2019
影响因子：
1.9
通讯作者：
M. Krause
中科院分区：
文献类型：
--
作者：
M. Haussmann;Stephan Simonis;H. Nirschl;M. Krause
通过对衰减均匀各向同性湍流（DHIT）的数值实验，研究了各种格子Boltzmann格式的稳定性、一致性和精度。因此，将Bhatnagar-Gross-Krook（BGK）、熵格子Boltzmann（ELB）、双弛豫时间（TRT）、正则格子Boltzann（RLB）和多弛豫时间（MRT）碰撞格式应用于三维Taylor-Green涡，得到了DHIT的一个基准算例，并与参考数据进行了比较.考虑到声学和扩散标度来确定晶格马赫数的影响。此外，还考虑了三种不同的雷诺数[公式：见正文]、[公式：见正文]和[公式：见正文]。当网格高度欠分辨时，BGK显示不稳定性。MRT的发散模拟归因于强的晶格马赫数依赖性。尽管ELB改变了体积粘度，但它并不模拟湍流模型。因此，与BGK相比，未观察到稳定性显著增加。在中等雷诺数的DHIT的TRT“魔术参数”估计相对于能量的贡献。结果表明，TRT格式的稳定性和准确性与BGK格式相似;对于小的格点马赫数，RLB格式在耗散范围内的能量贡献低于解析模型谱。总的来说，为了提高稳定性和精度，应根据所用的碰撞方案来选择格点马赫数。
Stability, consistency and accuracy of various lattice Boltzmann schemes are investigated by means of numerical experiments on decaying homogeneous isotropic turbulence (DHIT). Therefore, the Bhatnagar–Gross–Krook (BGK), the entropic lattice Boltzmann (ELB), the two-relaxation-time (TRT), the regularized lattice Boltzann (RLB) and the multiple-relaxation-time (MRT) collision schemes are applied to the three-dimensional Taylor–Green vortex, which represents a benchmark case for DHIT. The obtained turbulent kinetic energy, the energy dissipation rate and the energy spectrum are compared to reference data. Acoustic and diffusive scaling is taken into account to determine the impact of the lattice Mach number. Furthermore, three different Reynolds numbers [Formula: see text], [Formula: see text] and [Formula: see text] are considered. BGK shows instabilities, when the mesh is highly underresolved. The diverging simulations for MRT are ascribed to a strong lattice Mach number dependency. Despite the fact that the ELB modifies the bulk viscosity, it does not mimic a turbulence model. Therefore, no significant increase of stability in comparison to BGK is observed. The TRT “magic parameter” for DHIT at moderate Reynolds numbers is estimated with respect to the energy contribution. Stability and accuracy of the TRT scheme is found to be similar to BGK. For small lattice Mach numbers, the RLB scheme exhibits lowered energy contribution in the dissipation range compared to an analytical model spectrum. Overall, to enhance stability and accuracy, the lattice Mach number should be chosen with respect to the applied collision scheme.
使用 Euler-Euler 格子 Boltzmann 方法进行惯性稀颗粒流体流动模拟
DOI：
10.1016/j.jocs.2016.03.013
发表时间：
2016
期刊：
J. Comput. Sci.
影响因子：
--
作者：
R. Trunk;T. Henn;W. Dörfler;H. Nirschl;M.J. Krause
通讯作者：
M.J. Krause
影响因子：
2.9
作者：
Geier, Martin;Schoenherr, Martin;Krafczyk, Manfred
通讯作者：
Krafczyk, Manfred
影响因子：
3.5
作者：
Krause, Mathias J.;Klemens, Fabian;Nirschl, Hermann
通讯作者：
Nirschl, Hermann