SATURN TECHNIQUE FOR NUMERICAL SOLUTION OF 3-D TIME-DEPENDENT TRANSPORT EQUATION

A.V. Aleкseev, V.V. Evdokimov, R.M. Shagaliev
VANT. Ser.: Mat. Mod. Fiz. Proc 1993. Вып.3. С. 3-8.

      A computational technique for numerical solution of 3-D time-dependent transport equation in classical cylinder system of coordinates on nonorthogonal spatial grids is formulated.
      The finite-difference 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 packaged-delta form. For the case when the right-hand side is known the cost-efficient method for solving the grid-equation system based on the running computation idea is formulated. In the general case when the right-hand 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.