Improvement of the instability of compressible lattice Boltzmann model by shock-detecting sensor
Improvement of the instability of compressible lattice Boltzmann model by shock-detecting sensor
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DOI：
10.1007/s12206-015-0419-0
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发表时间：
2015-05
影响因子：
1.6
通讯作者：
Vahid Esfahanian;M. Ghadyani
中科院分区：
文献类型：
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作者：
Vahid Esfahanian;M. Ghadyani
近年来，格子Boltzmann方法(LBM)作为一种模拟流体流动的另一种很有前途的数值方法引起了人们的关注。在含不同类型嵌入不连续面的可压缩流动数值模拟中，LBM的稳定性是一个具有挑战性的问题。这项研究提出了一个补充方案，用于用可压缩格子Boltzmann模型模拟无粘流动，以便通过激波检测过程来改善不稳定性。研究了除宏观或介观变量外，对原始变量或保守变量使用数值混合滤波的优点和缺点。研究表明，对于无粘可压缩流动，通过对介观变量的补充格式的实施，改进了所用的LB模型的稳健性。研究了该程序在捕捉激波和解决知名基准问题中接触不连续和稀疏波方面的有效性。数值结果表明，该格式能够在可压缩流动的模拟中产生更稳健的解，并能防止振荡的形成。对于所有测试用例，都获得了良好的一致性。
Recently, lattice Boltzmann method (LBM) has drawn attention as an alternative and promising numerical technique for simulating fluid flows. The stability of LBM is a challenging problem in the simulation of compressible flows with different types of embedded discontinuities. This study, proposes a complementary scheme for simulating inviscid flows by a compressible lattice Boltzmann model in order to improve the instability using a shock-detecting procedure. The advantages and disadvantages of using a numerical hybrid filter on the primitive or conservative variables, in addition to, macroscopic or mesoscopic variables are investigated. The study demonstrates that the robustness of the utilized LB model is improved for inviscid compressible flows by implementation of the complementary scheme on mesoscopic variables. The validity of the procedure to capture shocks and resolve contact discontinuity and rarefaction waves in well-known benchmark problems is investigated. The numerical results show that the scheme is capable of generating more robust solutions in the simulation of compressible flows and prevents the formation of oscillations. Good agreements are obtained for all test cases.