Mathematical simulation of nuclear carbon burning in White Dwarfs using a 7-isotope reaction network

The mechanism of explosion of type Ia Supernovae is based on nuclear burning of the white dwarf material. When modeling scenarios for the evolution of white dwarfs followed by a Supernova explosion, it is important to fully take into account the nonequilibrium chemical kinetics of major isotopes in the form of subgrid processes. It is necessary to consider a detailed network of nuclear reactions, but in this case not all reactions make major contributions both to the final mass fraction of isotopes and to the energy of burning. It is a rather expensive procedure of subgrid processes to consider even the conventional 7-, 13-, 19-, 21-, or 34-isotope networks of reactions. We propose a «compression» of an alpha network of nuclear reactions whose analytical form can be used in a hydrodynamic model of the evolution of white dwarfs and a type Ia supernova explosion. To construct such a model, a large number of computational experiments with a distributed client-server computational system is used.