Adjoint sensitivity analysis method based on lattice Boltzmann equation for flow-induced sound problems
Adjoint sensitivity analysis method based on lattice Boltzmann equation for flow-induced sound problems
复制标题
基于格子Boltzmann方程的流致声问题伴随灵敏度分析方法
DOI：
10.1016/j.compfluid.2022.105662
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发表时间：
2022
影响因子：
2.8
通讯作者：
Kazuya Kusano
中科院分区：
文献类型：
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作者：
NISHIO Yu;OGAWA Takanobu;TODA Yuki;MORIMATSU Masataka;UNNO Ryohei;INASAWA Ayumu;Kazuya Kusano
本文提出了一种伴随灵敏度分析方法，可以评估远场声音对物体形状的灵敏度。该方法基于晶格玻尔兹曼方程（LBE）和低马赫数条件下的非热模型直接模拟流声。此外，利用插值反弹（IBB）条件考虑了复杂几何形状的壁边界，这也允许在灵敏度分析中采用任意参数来定义物体几何形状作为设计变量。在IBB条件下，通过求解LBE的伴随方程，可以评估远场声音对许多设计变量的灵敏度。本研究通过两个测试问题验证了所提方法的有效性。在这些试验中，比较了伴随法和有限差分法的灵敏度。在此基础上，利用灵敏度分析方法，提出了抑制风成音产生的优化形状。
This paper proposes an adjoint sensitivity analysis method that enables the evaluation of the sensitivities of far-field sounds with respect to object shapes. In this method, flow-induced sounds are directly simulated based on the lattice Boltzmann equation (LBE) with an athermal model under low-Mach-number conditions. In addition, wall boundaries of complex geometries are considered using the interpolated bounce-back (IBB) condition, which also allows the adoption of arbitrary parameters that define object geometries as design variables in the sensitivity analysis. The sensitivities of far-field sounds to numerous design variables can be evaluated by solving the adjoint equation, which is derived from the LBE with the IBB condition. This study demonstrates the validity of the proposed method using two test problems. In these tests, the sensitivities evaluated by the adjoint method are compared with those evaluated by the finite difference method. Furthermore, this paper presents new shapes optimized to suppress the generation of the Aeolian tone using the sensitivity analysis method.