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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 2, Pages 149–162
(Mi sjvm539)
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This article is cited in 10 scientific papers (total in 10 papers)
Numerical modeling of acoustic-gravity waves propagation in a heterogeneous “Earth–Atmosphere” model with a wind in the atmosphere
B. G. Mikhailenko, A. A. Mikhailov Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Lavrentjeva, 6, Novosibirsk, 630090, Russia
Abstract:
A numerical-analytical solution for seismic and acoustic-gravitational waves propagation is applied to a heterogeneous “Earth–Atmosphere” model. Seismic wave propagation in an elastic half-space is described by a system of first order dynamic equations of the elasticity theory. Propagation of acoustic-gravitational waves in the atmosphere is described by the linearized Navier–Stokes equations with the a wind. The proposed algorithm is based on the integral Laguerre transform with respect to time, the finite integral Fourier transform along the spatial coordinate with the finite difference solution of the reduced problem.
Key words:
seismic waves, acoustic-gravitational waves, Navier–Stokes equations, Laguerre transform, finite difference method.
Received: 24.10.2013 Revised: 13.11.2013
Citation:
B. G. Mikhailenko, A. A. Mikhailov, “Numerical modeling of acoustic-gravity waves propagation in a heterogeneous “Earth–Atmosphere” model with a wind in the atmosphere”, Sib. Zh. Vychisl. Mat., 17:2 (2014), 149–162; Num. Anal. Appl., 7:2 (2014), 124–135
Linking options:
https://www.mathnet.ru/eng/sjvm539 https://www.mathnet.ru/eng/sjvm/v17/i2/p149
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Abstract page: | 344 | Full-text PDF : | 103 | References: | 57 | First page: | 22 |
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