Data assimilation techniques in modeling ocean processes

Abstract

Three main classes of procedures in data analysis and assimilation viz. Objective Analysis, Optimal Interpolation and variational method, used to process the observed data on atmospheric and ocean parameters are briefly reviewed. The variational method of data assimilation, its mathematical description and the classical variational approach, which leads to the Euler-Lagrange equations, are presented. Two methods of solving data assimilation problems, viz. the penalty algorithm and the optimal control theory method are discussed. Application of data assimilation technique to physical problems governed by linear and nonlinear ordinary differential equations are explained. The formulation of data assimilation technique in one-dimensional models of upper ocean and water column biogeochemistry is presented.