SATURN TECHNIQUE FOR NUMERICAL SOLUTION OF 3D TIMEDEPENDENT TRANSPORT EQUATION
A.V. Aleкseev, V.V. Evdokimov, R.M. Shagaliev VANT. Ser.: Mat. Mod. Fiz. Proc 1993. Вып.3. С. 38.
A computational technique for numerical solution of 3D timedependent transport equation in classical cylinder system of coordinates on nonorthogonal spatial grids is formulated. The finitedifference approximation for the transport equation is developed according to the scheme with additional relations. The scheme formed is conservative, the corresponding difference transport operator is of the packageddelta form. For the case when the righthand side is known the costefficient method for solving the gridequation system based on the running computation idea is formulated. In the general case when the righthand side is unknown the suggested algorithm is used in combination with simple iteration method and simple iteration convergence acceleration methods. The method suggested allows an efficient parallelization in several directions, which is critical for multiprocessor implementation.
