Development of parallel software for 3d tornado arising modeling by Nikolaevskiy theory

The goal of the paper is development of a scalable parallel program calculating the numerical solution of the system of equations modeling the processes and origin conditions of intensive atmospheric vortices (IAV) in 3D compressible atmosphere according to the theory of mesovortice turbulence by Nikolaevskiy. Original system of non-linear equations, and its initial and boundary conditions are discussed, the choice of finite-difference scheme of accuracy needed is performed, the corresponding finite-difference system of equations, as well as limitations on its parameters are formulated. The structure of a parallel program for high performance cluster is developed. The problems concerning to optimization of the program in order to increase its scalability are studied. In summary the results of numerical computations are discussed.