1997 , Volume 2, № 6, p.53-60

The Harten`s difference algorithm of the second order of accuracy has been realised by the finite volume method in a three-dimensional, two-dimensional plane and axially symmetrical statements with respect to space and time variables. On realising the algorithm the following modifications have been performed: pseudo-characteristic eigenvectors were introduced, the additional bounder of the artifical compression operator was determined, a simplified function of artifical viscosity is used. The Harten`s operator bounders (with additional compresion) and Royer`s (Superbee) are employed. The two-dimensional calculations grids are constructed on the basis of Thompson`s algorithm consisting in the solving of the vector Poisson equation. The geometrical adaptation of the grids is attained by the suitable selection of corresponding coefficients in the control functions i.e. the right-hand sides of the Poisson equation. Three two-dimensional were calculated: the outlet of an axially jet from a cylindrical nozzle; the shock wave diffraction on a convex angle, transition from the regular Mach and double Mach non-stationary reflection under interaction of the plane shock wave with a convex surface.

*76J20 Supersonic flows

76L05 Shock waves and blast waves

76M20 Finite difference methods