Author(s)

B. G. Mikhailenko, A. A. Mikhailov, G. V. Reshetova

The Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the RAS, pr. Akad. Lavrentieva, 6, Novosibirsk 630090, Russia.

A numerical-analytical solution for seismic and acoustic-gravity 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 elasticity theory. Propagation of acoustic-gravity waves in the atmosphere is described by the linearized Navier-Stokes equations with the wind. The algorithm proposed 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.

Seismic Waves; Acoustic-Gravity Waves; Navier-Stokes Equations; Laguerre Transform; Finite Difference Method

G. Mikhailenko, B. , A. Mikhailov, A. and V. Reshetova, G. (2013) Numerical Simulation of Acoustic-Gravity Waves Propagation in a Heterogeneous Earth-Atmosphere Model with Wind in the Atmosphere. Journal of Applied Mathematics and Physics, 1, 12-17. doi: 10.4236/jamp.2013.14003.