Novel kinetic consistent 3d mhd algorithm for high performance parallel computing systems

Abstract

The impressive progress of the kinetic consistent schemes in the solution of the gas dynamics problems and the development of the effective parallel algorithms for the modern high performance parallel computing systems lead to the development of advanced methods for the solution of the magnetohydrodynamics problems for plasma physics. The novel feature of the method is the formulation of the complex Boltzmann-like distribution function of the kinetic method with the implementation of the electromagnetic interaction term. The numerical method is based on the explicit schemes, due to the logical simplicity and high efficiency of the algorithm and the easy adaptation to the modern high performance parallel computing systems.