通用的插值补充格子Boltzmann方法应用于计算气动声学

提出将通用的插值补充格子Boltzmann方法（GILBM）应用于非均匀网格进行计算气动声学研究. 通过顶盖驱动方腔流、低雷诺数圆柱绕流算例验证GILBM数值模拟方法的正确性. 在此基础上，将该方法应用于高斯脉冲传播、周期性声源传播、二维圆柱绕流的气动噪声计算. 研究结果表明，GILBM方法可以在非均匀网格上较好地模拟高斯脉冲及周期性声源声波的传播过程，计算结果与解析解较吻合. GILBM方法能够模拟非均匀贴体网格下的圆柱曲面边界由于涡脱落造成的气动噪声的产生和传播过程，可以较好地捕捉到近场及远场的声压传播. 圆柱绕流声学特性呈现出偶极子现象，计算结果与参考文献较吻合，证明采用GILBM方法在非均匀网格中模拟声传播问题的正确性及求解气动声学问题的可行性.

Generalized form of interpolation-supplemented lattice Boltzmann method for computational aeroacoustics

The generalized form of interpolation-supplemented lattice Boltzmann method (GILBM) was proposed for aeroacoustics simulation on non-uniform meshes. The correctness of GILBM code was validated by simulating the lid-driven cavity flow and the low Reynolds number cylinder flow. On this basis, this method was applied to simulate the Gaussian pulse propagation, acoustic periodic point sources and aerodynamic noise of two-dimensional cylinder flow. Results show that the propagation process of Gaussian pulse and acoustic periodic point sources can be well simulated on non-uniform meshes by GILBM, and the simulation results are in good agreement with the analytical solution. Also, the generation and propagation of the aerodynamic noise produced by the vortex shedding generated by a cylinder can be simulated on non-uniform body-fitted mesh by GILBM, and the sound pressure propagation in the near field and the far field can be well captured. The aerodynamic noise characteristics of flow around a cylinder show a dipole pattern. Results present a good agreement with the references, which confirms the correctness and the feasibility of GILBM in simulating sound propagation problems and aerodynamic noise on non-uniform meshes.