Nonlinear acoustic wave propagation in atmosphere
Author:
Abstract
In this paper we consider a model problem that simulates an atmospheric acoustic wave propagation situation that is nonlinear. The model is derived from the basic Euler equations for the atmospheric flow and from the regular perturbations for the acoustic part. The nonlinear effects are studied by obtaining two successive linear problems in which the second one involves the solution of the first problem. Well-posedness of these problems is discussed and approximations of the radiation boundary conditions that can be used in numerical simulations are presented.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics
Link
http://www.ams.org/qam/1987-45-04/S0033-569X-1987-0917023-8/S0033-569X-1987-0917023-8.pdf
Reference11 articles.
1. J. D. Cole and C. Greifinger, Acoustic Gravity Waves from an Energy Source at the Ground in an Isothermal Atmosphere, J. of Geophysical Res. 74, 3693–3703 (1969)
2. A. D. Pierce, Propagation of Acoustic Gravity Waves from a Small Source Above the Ground in an Isothermal Atmosphere, J. Acoust. Soc. Am. 35, 1798–1807 (1963)
3. Initial boundary value problems for hyperbolic systems;Kreiss, Heinz-Otto;Comm. Pure Appl. Math.,1970
4. S. I. Hariharan and H. C. Lester, A Finite Difference Solution for the Propagation of Sound in Near Sonic Flows, J. Acoust. Soc. Am. 75, 1052–1061 (1984)
5. S. I. Hariharan and H. C. Lester, Acoustic Shocks in a Variable Area Duct Containing Near Sonic Flows, J. Comp. Phys. 58, 134–145 (1985)
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Linear and Nonlinear Acoustic Wave Propagation in the Atmosphere;SIAM Journal on Scientific and Statistical Computing;1989-05
2. Acceleration waves, shock formation and stability in a gravitating atmosphere;Astrophysics and Space Science;1989
3. Acoustic gravity waves: a computational approach;Applied Numerical Mathematics;1988-11
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