The lattice Boltzmann method (LBM) is a powerful technique for the computational modeling of a wide variety of single‐s and multiphase flows involving complex geometries. Although the LBM has been demonstrated to be effective for the solution of incompressible flow problems, there are limitations when this methodology is applied to the solution of compressible flows, especially for flows at high Mach numbers. In this article, we investigate strategies to overcome some of the limitations associated with the application of LBM to compressible flows. To this purpose, one of the key contributions of this study is the synthesis and integration of previous efforts concerning the formulation of LBM for the large‐eddy simulation (LES) of compressible turbulent flows in the subsonic flow regime. It is shown how certain limitations of applying the LBM to compressible flows can be addressed by using either a higher order Taylor series expansion of the Maxwell–Boltzmann equilibrium distribution function or using the Kataoka and Tsutahara (KT) LBM model formulation for compressible flows. The proposed LBM/LES methodology for compressible flows has been combined with the Kirchhoff integral formulation for computational aeroacoustics and used to simulate the flow and acoustic fields of compressible jet flows at high subsonic speeds with practical relevance for providing a better understanding of problems associated with jet noise. In this context, simulations of the physics associated with the jet flow and concomitant noise in the near‐ and far‐field regimes were conducted using the proposed framework of a compressible LBM/LES and Kirchhoff integral method. The results of the subsonic isothermal and nonisothermal jet flow simulations for the flow and acoustic fields have been compared with available numerical and experimental results with generally good to excellent agreement.

中文翻译：

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使用可压缩晶格玻尔兹曼方法的亚音速湍流射流的大涡模拟

格子玻尔兹曼方法（LBM）是一种强大的技术，可用于对涉及复杂几何形状的各种单相和多相流进行计算建模。尽管已证明LBM可有效解决不可压缩的流动问题，但将这种方法应用于可压缩流动的解决方案仍存在局限性，特别是对于高马赫数的流动。在本文中，我们研究了克服与LBM应用于可压缩流相关的一些限制的策略。为此，本研究的主要贡献之一是对亚音速流态中可压缩湍流的大涡模拟（LES）的LBM公式的先前研究工作的综合和整合。它显示了如何通过使用Maxwell–Boltzmann平衡分布函数的高阶泰勒级数展开或对可压缩流使用Kataoka和Tsutahara（KT）LBM模型公式来解决将LBM应用于可压缩流的某些局限性。拟议的可压缩流的LBM / LES方法已与用于计算航空声学的Kirchhoff积分公式相结合，并用于模拟具有高实用性的高亚音速下可压缩射流的流场和声场，以更好地了解与射流有关的问题噪音。在这种情况下，使用建议的可压缩LBM / LES和Kirchhoff积分方法框架，对近场和远场状态下与射流和伴随噪声相关的物理学进行了模拟。对流场和声场的亚音速等温和非等温射流模拟结果与现有的数值和实验结果进行了比较，总体上吻合良好。