D. S. Saburin1, T. G. Elizarova2
1 M.V. Lomonosov Moscow State University, Moscow, Russia
2 M.V. Keldysh Institute of Applied Mathematics of RAS, г. Москва
Abstract
A new approach to numerical modeling of sea and ocean circulation is proposed. The approbation is carried out on the problem of seiche oscillations in the Sea of Azov.
The model is based on a two-dimensional system of shallow water equations in stream form in a Cartesian coordinate system, taking into account bottom topography, Coriolis force, wind friction force on the free surface, and frictional forces on the bottom. The novelty of the approach consists in the numerical algorithm, which is based on the procedure for regularizing the shallow-water equations. Its advantages are: the lack of linearization of equations, the possibility to calculate currents with dehumidification and watering zones, the possibility to calculate both frictional forces on the bottom and without it, efficiency in terms of computational costs, and a natural opportunity for parallelization.
Calculations were carried out for the real Sea of Azov for a time up to 3 days inclusive on the grid 1521 x 1091 with steps of 250 x 250 m. The authors give the main patterns of surface currents and spatial distributions of sea level, including near large settlements.
Keywords
regularized shallow water equations, difference scheme, seiche oscillations, the Sea of Azov