Numerical solution of the problem of variational data assimilation to restore heat fluxes and initial state for the ocean thermodynamics model

Abstract

Abstract For the model of ocean thermodynamics developed at the Institute of Numerical Mathematics of RAS, the problem of variational data assimilation is considered in order to restore heat fluxes on the ocean surface and initial state of the model. Iterative solution algorithms are proposed for the optimality system, justification of these algorithms is given based on properties of the control operator. The results of numerical experiments for the model of the Black Sea dynamics are presented.