Implicit–explicit finite‐difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator
Implicit–explicit finite‐difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator
复制标题
DOI：
10.1002/fld.1843
复制
发表时间：
2009-03
影响因子：
1.8
通讯作者：
Yong Wang;Yanfei He;Jing Huang;Qing Li
中科院分区：
文献类型：
--
作者：
Yong Wang;Yanfei He;Jing Huang;Qing Li
讨论了传统计算流体力学和标准格子玻尔兹曼方法（LBM）在研究谐振腔中气体振荡模式时遇到的困难。鉴于LBM领域的最新进展，我们现在能够处理谐振器中的压缩性和非线性冲击波效应。首先介绍了粘性可压缩流动的格子Boltzmann模型。然后，通过有限差分法求解具有Bhatnagar-Gross-Krook近似的Boltzmann方程，其中三阶隐式-显式（IMEX）Runge-Kutta格式用于时间离散，五阶加权基本无振荡（韦诺）格式用于空间离散。在这项研究中得到的数值结果同意定量与实验数据和那些使用传统的数值方法。此外，使用IMEX有限差分LBM（FDLBM），与以前的FDLBM和标准LBM相比，计算收敛速度可以显着提高。该研究也可应用于热声发动机中更复杂现象的模拟。版权所有© 2008约翰威利父子有限公司。
Difficulties for the conventional computational fluid dynamics and the standard lattice Boltzmann method (LBM) to study the gas oscillating patterns in a resonator have been discussed. In light of the recent progresses in the LBM world, we are now able to deal with the compressibility and non‐linear shock wave effects in the resonator. A lattice Boltzmann model for viscid compressible flows is introduced firstly. Then, the Boltzmann equation with the Bhatnagar–Gross–Krook approximation is solved by the finite‐difference method with a third‐order implicit–explicit (IMEX) Runge–Kutta scheme for time discretization, and a fifth‐order weighted essentially non‐oscillatory (WENO) scheme for space discretization. Numerical results obtained in this study agree quantitatively with both experimental data available and those using conventional numerical methods. Moreover, with the IMEX finite‐difference LBM (FDLBM), the computational convergence rate can be significantly improved compared with the previous FDLBM and standard LBM. This study can also be applied for simulating some more complex phenomena in a thermoacoustics engine. Copyright © 2008 John Wiley & Sons, Ltd.