Forecast Error Correction Using Dynamic Data Assimilation 1st Edition Sivaramakrishnan Lakshmivarahan by Sivaramakrishnan Lakshmivarahan, John M. Lewis, Rafal Jabrzemski (auth.) 9783319399959, 9783319399973, 3319399950, 3319399977 instant download after payment.

This book introduces the reader to a new method of data assimilation with deterministic constraints (exact satisfaction of dynamic constraints)—an optimal assimilation strategy called Forecast Sensitivity Method (FSM), as an alternative to the well-known four-dimensional variational (4D-Var) data assimilation method. 4D-Var works with a forward in time prediction model and a backward in time tangent linear model (TLM). The equivalence of data assimilation via 4D-Var and FSM is proven and problems using low-order dynamics clarify the process of data assimilation by the two methods. The problem of return flow over the Gulf of Mexico that includes upper-air observations and realistic dynamical constraints gives the reader a good idea of how the FSM can be implemented in a real-world situation.