Scheme for Calculating Unsteady Flows of Heat-Conducting Gas in the Three-Temperature Approximation

A technique for numerical modeling of unsteady flows of heat-conducting gas in a three-temperature approximation is presented. This technique was built using the fundamental principles of S.K. Godunov. For time integration, the calculation of each time step is carried out by splitting the governing equations into hyperbolic and parabolic subsystems. The first subsystem is solved using a generalization of the Godunov scheme, and the second, using an explicitly iterative Chebyshev scheme. For discretization, moving curvilinear adaptive grids are used; the discrete scheme is written in curvilinear coordinates with preserving the symmetries of the differential problem. The technique is implemented in the form of a parallel code for multiprocessor computers. The main objective is to provide computational studies on the problem of controlled thermonuclear fusion, but it can also be used in other applications of computational aero-gas-dynamics.