Numerical algorithms in ocean dynamics with data assimilation

Abstract

The paper is dedicated to the memory of one of the founders of numerical modeling in oceanology, A. S. Sarkisyan. Typical problems of general ocean circulation and methods of their numerical solution developed by the Russian school of oceanologists are presented. Attention is given to variational algorithms based on the solution of systems of direct and adjoint equations. Three typical problems of ocean dynamics are considered: a quasi-geostrophic model of barotropic eddy currents in the Southern Ocean, a two-layer baroclinic model, and a complete “primitive” model with assimilation of field data developed at INM RAS. Results of numerical experiments for the model of the dynamics of the Black and Azov Seas are presented.