I.Kant Baltic Federal University, Kaliningrad, Russia
NUMERICAL SIMULATION OF ACOUSTIC-GRAVITY WAVES GENERATED BY ATMOSPHERIC PRESSURE VARIATIONS. THEORY AND APPLICATIONS TO STUDY ATMOSPHERIC-IONOSPHERIC CONNECTIONS.
Authors: S.P.Kshevetsky(Immanuel Kant Baltic Federal University), N.M.Gavrilov(Saint Petersburg State University), S.N. Kulichkov (Obukhov Institute of Atmospheric Physics)
Currently, an international network of high-resolution mikrobarographs for recording wave pressure variations at the surface of the Earth exists. This situation increases interest in the simulation of propagation of waves caused by atmospheric pressure variations. A mathematical theory is developed for solving of a set of primitive nonlinear hydrodynamic equations with given lower boundary conditions in the form of wavelike pressure variations on the Earth's surface. To analyze the correctness of the problem, the equations can be linearized near the ground for small amplitudes of surface wave excitation. The method of wave energy functional shows that in nondissipative approximation the solution of the boundary problem is uniquely determined by variations of the pressure field on the Earth’s surface. The respective dissipative problem has a unique solution with appropriate choice of additional lower boundary conditions for temperature and velocity components. To test the numerical algorithm, two analytical solutions (corresponding to acoustic and gravity wave modes) of the linearized equations are used. Reasonable agreements of numerical and analytical solutions are demonstrated. The developed computer code is used for simulation of atmospheric wave propagation from the experimentally observed pressure variations on the Earth's surface up to the high atmosphere and the effects of these acoustic-gravity waves in the high atmosphere and ionosphere are studied.