The adaptation of the algorithms to the architect of the high performance computing systems with extramassive parallelism is quite difficult problem. For the solution of such problems in particular for the modeling of the continuous media dynamics is proposed to use the algorithms, based on the kinetic models. Such approach allowed to construct simply and, in the same time, high efficient algorithms for the high performance computing. In this publication the generalization of the kinetic models for the problems of the magneto gas dynamics (MGD) is considered and shown the examples of the solutions of the tree dimensional problems of MGD on the computational domain with more than one milliard cells.

kinetic schemas, gas dynamics, magneto gas dynamics, numerical methods and algorithms, high performance computing

Mathematical modelling in actual problems of science and technics