指数型谐振管的二维气体动理学格式模拟

Simulating the Exponential Shaped Resonator by Two-Dimension Gas-kinetic Scheme

本文构造了适合模拟变截面谐振管的非结构三角形网格上的二维气体动理学BGK模型,采用该模型研究了包括圆直谐振管在内的八种不同形状的指数型谐振管内声场及流场的分布,分析了谐振管形状对压力分布和瞬时流场的影响。研究发现,从抑制激波、高次谐波以提高压力振幅和压比方面综合分析,形状参数m=2.2的指数型谐振管具有更好的性能。研究中也发现了一些新的物理现象,并对这些现象做了详细的解释。

A two-dimensional gas-kinetic BGK model based on unstructured triangle meshes for shaped resonators was established,which was used for simulation of the acoustic and flow fields of eight exponential shaped resonators including a cylindrical resonator,the effects of shape of resonator on pressure and instantaneous flow fields were also investigated.According to comprehensive analysis on suppressing shock,higher harmonic to improving the pressure amplitude and ratio,the exponential shaped resonators of m = 2.2 is the best one.Some new physical phenomena are revealed,and detailed explanations are provided for these phenomena.