APPLICATION OF VARIATIONAL DATA ASSIMILATION FOR CHEMICAL KINETICS PROBLEMS BASED ON THE ROBERTSON SYSTEM

The article is dedicated to the solution of a data assimilation problem based on the Robertson system which displays simple three-species chemical interactions. The implemented scenario presumed that, with no a priori information on the initial state, we needed to restore the dynamics of concentration of all species participating in the reaction using real-time “measured data” for the concentration of one of the reactants which were incoming during computation and assimilated by the system. The role of the “measured data” was played by the solution of direct problem by quasi-steady-state approximation (QSSA) for the Robertson system with known initial data. The solution of the posed problem was obtained using the 3Dvar data assimilation algorithm. Variational data assimilation in the described numerical experiment allowed to obtain information on dynamics of the entire system with “measured data” for the first “leading” species incoming, which may be indicative of the efficiency of the application of this method in the problems with unknown initial data.