Development of the Nonstationary Incremental Analysis Update Algorithm for Sequential Data Assimilation System

Abstract EN

This study introduces a modified version of the incremental analysis updates (IAU), called the nonstationary IAU (NIAU) method, to improve the assimilation accuracy of the IAU while keeping the continuity of the analysis.

Similar to the IAU, the NIAU is designed to add analysis increments at every model time step to improve the continuity in the intermittent data assimilation.

However, unlike the IAU, the NIAU procedure uses time-evolved forcing using the forward operator as corrections to the model.

The solution of the NIAU is superior to that of the forward IAU, of which analysis is performed at the beginning of the time window for adding the IAU forcing, in terms of the accuracy of the analysis field.

It is because, in the linear systems, the NIAU solution equals that in an intermittent data assimilation method at the end of the assimilation interval.

To have the filtering property in the NIAU, a forward operator to propagate the increment is reconstructed with only dominant singular vectors.

An illustration of those advantages of the NIAU is given using the simple 40-variable Lorenz model.