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基于有限时域差分方法将大气中近似到二阶的非线性波动方程进行离散化,得到了数值模拟所采用的差分方程. 在此基础上,对线阵列辐射的脉冲声波在非均匀运动大气中的垂直和斜向传播进行了二维数值模拟,模拟了武汉地区(114:20E, 30:37N)在夏季和冬季UT=29000 s时开始传播的脉冲声波在不同时刻的声压分布. 模拟时通过采用Msise00和HWM93 两个大气模型,考虑了由于大气温度和密度变化以及大气风场存在所引起的大气不均匀性和运动性. 通过研究上述两季有风与无风条件下的声压差值pr,可以发现:风场对次声波在传播中声压分布的影响较大;由于不同季节和不同传播距离上有效声速的不同,导致了两季pr分布波形存在差异;风场对声波非线性传播的影响要远大于其对线性传播的影响.A difference wave equation is obtained by discretizing a nonlinear acoustic wave equation in atmosphere in the second-order miniterm approximation based on the finite-difference time-domain method. And the pulsed infrasonic wave radiated by a linear array vertical or oblique propagation in moving inhomogeneous atmosphere is numerical simulated in the two-dimensional space, and sound pressure distribution after the different propagation times is investigated in the Wuhan(114 ∶20E, 30 ∶37N) of China and the initial time UT=29000s of summer and winter. The atmospheric inhomogeneity caused by the change of temperature and density, and the atmospheric motion caused by the presence of wind is considered by using the Msise00 and HWM93 models. The pressure difference pr obtained by subtracting no-windy pressure from the windy-pressure in above two seasons indicates that the wind has more influence on the sound field in the infrasonic propagation. The distribution waveform of pr is dependent on season because the actual acoustic velocity depends on season and propagation distance; The influence of wind on the nonlinear propagation is bigger than on the linear propagation.
[1] Piercy J E, Embleton T F W 1977 J. Acoust. Soc. Am. 61 1403
[2] Hallberg B, Larsson C 1988 J. Acoust. Soc. Am. 83 2059
[3] [4] Garcs M A, Hansen R A, Lindquist K G 1998 Geophys. J. Int. 135 255
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[7] [8] [9] Dessa J X, Virieux J, Lambotte S 2005 Geophys. Res. Lett. 32 L12808
[10] Blumrich R, Hermann D 2002 J. Acoust. Soc. Am. 112 446
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[14] [15] Groot-Hedlin C 2008 J. Acoust. Soc. Am. 124 1430
[16] Mcleod I D, Don C G, Swenson G G 2004 J. Acoust. Soc. Am. 116 2855
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[20] Cott B, Blanc-Benon P 2009 J. Acoust. Soc. Am. 125 EL202
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[23] [24] [25] Rudenko O V, Soluyan S I, Khokhlov R V 1974 Soc. Phys. Acoust. 19 556
[26] Kunitsyn V E, Rudenko O V 1978 Soc. Phys. Acoust. 24 310
[27] [28] [29] Li J L, Liu X Z, Zhang D, Gong X F 2006 Acta Phys. Sin. 55 2809(in Chinese)[李俊伦、刘晓宙、章 东、龚秀芬 2006 物理学报 55 2809]
[30] Du H W, Peng H, Jiang C H, Feng H Q 2007 Acta Phys. Sin. 56 6496(in Chinese)[杜宏伟、彭 虎、江朝晖、冯焕清 2007 物理学报 56 6496] 〖17] Yu J, Zhang D, Liu X Z, Gong X F, Song F X 2007 Acta Phys. Sin. 56 5909(in Chinese)[于 洁、章 东、刘晓宙、龚秀芬、宋富先 2007 物理学报 56 5909]
[31] [32] [33] [34] Li T B 2005 Computing Acoustics: the Equations and Calculation Methods of Sound Field (Beijing: Science Press) p221 (in Chinese) [李太宝 2005 计算声学:声场的方程和计算方法(北京:科学出版社)第221页]
[35] Cizek M, Rozman J 2007 Radioelektronika 17th International Conference (Brno:IEEE)p1
[36] [37] [38] Hallaja I M, Cleveland R O 1999 J. Acoust. Soc. Am. 105 L7
[39] [40] Huijssen J, Bouakaz A, Verweij M D, Jone N D 2003 IEEE Ultrasonics Symposium (Hawaii:IEEE)p1851
[41] L J, Zhao Z Y, Zhang Y N, Zhou C 2010 Acta Phys. Sin. 59 8662(in Chinese)[吕 君、赵正予、张援农、周 晨 2010 物理学报 59 8662]
[42] [43] [44] Qian Z W 2009 Nonlinear Acoustics (Beijing: Science Press) p29 (in Chinese) [钱祖文 2009 非线性声学(北京:科学出版社)第29页]
[45] [46] Hamilton M F, Blackstock D T 1998 Nonlinear Acoustics (San Diego: Academic Press) p55
[47] Yang X R,Chen Y 2007 Amosphere Acoustics (Beijing: Science Press) p10 (in Chinese) [杨训仁、陈 宇 2007 大气声学 (北京:科学出版社)第10页]
[48] [49] Gill A E 1982 Atmosphere-Ocean dynamics (San Diego: Academic Press) p295
[50] [51] Lee Y S 1993 Ph. D. Dissertation (Austin: University of Texas)
-
[1] Piercy J E, Embleton T F W 1977 J. Acoust. Soc. Am. 61 1403
[2] Hallberg B, Larsson C 1988 J. Acoust. Soc. Am. 83 2059
[3] [4] Garcs M A, Hansen R A, Lindquist K G 1998 Geophys. J. Int. 135 255
[5] [6] Virieux J, Garnier N, Blanc E, Dessa J X 2004 Geophys. Res. Lett. 31 L20106
[7] [8] [9] Dessa J X, Virieux J, Lambotte S 2005 Geophys. Res. Lett. 32 L12808
[10] Blumrich R, Hermann D 2002 J. Acoust. Soc. Am. 112 446
[11] [12] [13] Ostashev V E, Wilson D K, Liu L, Aldridge D F, Symons N P, Marlin D 2004 J. Acoust. Soc. Am. 117 503
[14] [15] Groot-Hedlin C 2008 J. Acoust. Soc. Am. 124 1430
[16] Mcleod I D, Don C G, Swenson G G 2004 J. Acoust. Soc. Am. 116 2855
[17] [18] [19] Blanc-Benon P, Lipkens B, Dallois L, Hamilton M F, Blackstock D T 2002 J. Acoust. Soc. Am. 111 487
[20] Cott B, Blanc-Benon P 2009 J. Acoust. Soc. Am. 125 EL202
[21] [22] Castor K, Gerstoft P, Roux P, Kuperman W A, McDonald B E 2004 J. Acoust. Soc. Am. 116 2004
[23] [24] [25] Rudenko O V, Soluyan S I, Khokhlov R V 1974 Soc. Phys. Acoust. 19 556
[26] Kunitsyn V E, Rudenko O V 1978 Soc. Phys. Acoust. 24 310
[27] [28] [29] Li J L, Liu X Z, Zhang D, Gong X F 2006 Acta Phys. Sin. 55 2809(in Chinese)[李俊伦、刘晓宙、章 东、龚秀芬 2006 物理学报 55 2809]
[30] Du H W, Peng H, Jiang C H, Feng H Q 2007 Acta Phys. Sin. 56 6496(in Chinese)[杜宏伟、彭 虎、江朝晖、冯焕清 2007 物理学报 56 6496] 〖17] Yu J, Zhang D, Liu X Z, Gong X F, Song F X 2007 Acta Phys. Sin. 56 5909(in Chinese)[于 洁、章 东、刘晓宙、龚秀芬、宋富先 2007 物理学报 56 5909]
[31] [32] [33] [34] Li T B 2005 Computing Acoustics: the Equations and Calculation Methods of Sound Field (Beijing: Science Press) p221 (in Chinese) [李太宝 2005 计算声学:声场的方程和计算方法(北京:科学出版社)第221页]
[35] Cizek M, Rozman J 2007 Radioelektronika 17th International Conference (Brno:IEEE)p1
[36] [37] [38] Hallaja I M, Cleveland R O 1999 J. Acoust. Soc. Am. 105 L7
[39] [40] Huijssen J, Bouakaz A, Verweij M D, Jone N D 2003 IEEE Ultrasonics Symposium (Hawaii:IEEE)p1851
[41] L J, Zhao Z Y, Zhang Y N, Zhou C 2010 Acta Phys. Sin. 59 8662(in Chinese)[吕 君、赵正予、张援农、周 晨 2010 物理学报 59 8662]
[42] [43] [44] Qian Z W 2009 Nonlinear Acoustics (Beijing: Science Press) p29 (in Chinese) [钱祖文 2009 非线性声学(北京:科学出版社)第29页]
[45] [46] Hamilton M F, Blackstock D T 1998 Nonlinear Acoustics (San Diego: Academic Press) p55
[47] Yang X R,Chen Y 2007 Amosphere Acoustics (Beijing: Science Press) p10 (in Chinese) [杨训仁、陈 宇 2007 大气声学 (北京:科学出版社)第10页]
[48] [49] Gill A E 1982 Atmosphere-Ocean dynamics (San Diego: Academic Press) p295
[50] [51] Lee Y S 1993 Ph. D. Dissertation (Austin: University of Texas)
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