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运动大气中的耦合方程组同伦分析解析解

Analytical solutions of coupled equations set by homotopy analysis method in moving atmosphere
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摘要 近地面声波传播特性受到大气温度、密度、风场特性等大气要素的影响。解析解能够很好地展现声波传播过程中各扰动量的演变过程,且计算量较小。因此,从运动大气的耦合方程组出发,利用推导的声压方程求得点单极子声源的解析解,以此作为初始值,对均匀风场和梯度风场的耦合方程组进行三阶同伦分析近似解求解,对均匀风场和梯度风场进行数值模拟,结果表明,对于相同的点声源,均匀风场和梯度风场的声压传播特性是不同的。 The acoustic wave propagation characteristics of near surface are influenced by atmospheric elements, such as atmospheric temperature, density, wind field characteristics and so on. Analytical solutions can well show the evolution of the disturbance quantity during the acoustic wave propagation process, and have small amount of calculation. Firstly, the couple equations set are used as starting equations, the analytical solution of point monochromatic source is obtained from the deduced sound pressure equation, then the analytical solution is used as initial value, the third order homotopy analysis approximation solution are solved of uniform wind field and gradient wind field coupled equation set. The numerical simulation results show that for the same point source, sound pressure propagation characteristics of uniform wind field and gradient wind field are different.
出处 《安庆师范大学学报(自然科学版)》 2017年第2期4-8,共5页 Journal of Anqing Normal University(Natural Science Edition)
基金 安徽省教育厅项目(AQKJ2015B015) 江苏省普通高校研究生科研创新项目(KYLX15_0873)
关键词 单极子点源 同伦分析方法 梯度风场 point monochromatic source the homotopy analysis method the gradient wind field
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