基于移动粒子半隐式方法波传播模型的声传播数值求解方法研究  

Numerical Method of Acoustic Propagation Using Moving Particle Semi-Implicit Method Based Wave Propagation Model

作　　者：周子棋 孙一颉 韩沛东 孙中国[1] 席光[1] ZHOU Ziqi;SUN Yijie;HAN Peidong;SUN Zhongguo;XI Guang(School of Energy and Power Engineering,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]西安交通大学能源与动力工程学院,西安710049

出　　处：《西安交通大学学报》2021年第9期133-140,共8页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(51922085)。

摘　　要：为扩展无网格移动粒子半隐式法(MPS)的应用范围,将其扩展到声学计算应用领域,在流声分离假设下,基于拉格朗日描述建立了声场控制方程,即MPS方法下的声波传播模型(MPS-WP)。实现了声学硬边界和吸收边界的离散粒子模型,研究了CFL数及粒子间距等关键参数对计算精度的影响,发现在一定的CFL数和粒子间距内,该模型可以保持较小的误差水平。采用高斯脉冲传播算例验证了MPS-WP在硬边界与吸收边界下的二维声场计算,声压的计算与解析解吻合较为良好,展示了该求解方法的有效性和准确性。在此基础上,对静止流场多个脉冲叠加及均匀来流下声波的传播特性进行了模拟和分析,计算结果与解析解吻合良好,为复杂流动条件下的声学计算提供了一种新的研究方法。In order to expand the application area of meshless moving particle semi-implicit method and extend it to the application field of acoustic calculation,a sound field control equation using moving particle semi-implicit method based wave propagation model(MPS-WP)is established based on Lagrange description under the assumption of flow-sound separation.The discrete particle model of acoustic hard boundary and absorbing boundary is realized.The influences of the key parameters such as CFL number and particle spacing on the calculation accuracy are studied.It is found that the model can maintain a small error level within certain CFL number and particle spacing ranges.The Gaussian pulse propagation example is used to verify the two-dimensional sound field calculation of MPS-WP at hard boundary and absorbing boundary.The calculation of sound pressure is in good agreement with the analytical solution,showing the effectiveness and accuracy of this method.On this basis,the propagation characteristics of acoustic waves at multiple pulse superposition in the static field and in the uniform flow field are simulated and analyzed,and the calculation results are in good agreement with the analytical solution.This work provides a new research method for acoustic calculation under complex flow conditions.

关 键 词：声波传播 移动粒子半隐式法 高斯脉冲 边界条件 

分 类 号：TK474.7[动力工程及工程热物理—动力机械及工程]