Details

Autor(en) / Beteiligte

• Chaplina, Tatiana

Titel

Mathematical Modeling of Geophysical Processes in a Layer of Electrically Conductive Liquid of Variable Depth

Ist Teil von

• Processes in GeoMedia--Volume VI, 2023, p.331-341

Ort / Verlag

Switzerland: Springer International Publishing AG

Erscheinungsjahr

2023

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The geophysical processes in a rotating electrically conductive incompressible fluid are investigated, taking into account the topography that borders the surface layer and the dissipative effects of magnetic field diffusion and Coriolis force. The considered boundary value problem of magnetic hydrodynamics describing long waves of small amplitude is reduced to the integration of a single scalar equation for a modified function describing the perturbation of the free surface of a liquid layer, for which an exact analytical solution is constructed, while the solution of the dispersion equation is reduced to finding the roots of a sixth-degree polynomial with complex coefficients, for the purpose of solving which a numerical method and algorithm are presented, created on the basis of machine learning and an iterative numerical method for finding all branches of the oscillation frequency. The analysis of the dependence of the solution on the Coriolis parameter, the wave number and the magnetic Reynolds number is carried out, which allows to evaluate the dynamics of the process qualitatively and numerically.