Roe–Einfeldt–Osher scheme as applied to the mathematical simulation of accretion disks on parallel computers

The Roe–Einfeldt–Osher scheme is considered, which has the third order of accuracy. Its advantages over the first-order accurate Roe scheme are demonstrated, and its choice for the simulation of accretion disk flows is justified. The Roe–Einfeldt–Osher scheme is shown to be efficient as applied to the simulation of real-world problems on parallel computers. Results of simulation of flows in accretion disks in two and three dimensions are presented. Limited capabilities of two-dimensional disk models are noted.