Geodesic
Numerical modeling of acoustic-gravity waves propagation in a~heterogeneous ``Earth--Atmosphere'' model with a~wind in the atmosphere
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 2, pp. 149-162

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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. 
@article{SJVM_2014_17_2_a5,
     author = {B. G. Mikhailenko and A. A. Mikhailov},
     title = {Numerical modeling of acoustic-gravity waves propagation in a~heterogeneous {``Earth--Atmosphere''} model with a~wind in the atmosphere},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {149--162},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2014_17_2_a5/}
}
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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. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 2, pp. 149-162. http://geodesic.mathdoc.fr/item/SJVM_2014_17_2_a5/