A Parallel Strongly Implicit Algorithm for Solving of Diffusion Equations

Authors:
Ladislav Halada;Mária Lucká
Affiliations:
-;-
Venue:
ParNum '99 Proceedings of the 4th International ACPC Conference Including Special Tracks on Parallel Numerics and Parallel Computing in Image Processing, Video Processing, and Multimedia: Parallel Computation
Year:
1999

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Abstract

We present a parallel algorithm for the solution of partial differential equations representing a 3-D diffusion process of the underground water by a finite difference method. The algorithm belongs to a class of the incomplete LU factorization methods, where corresponding system of linear algebraic equations is solved by a quasi LU decomposition in every time step. A code realizing the algorithm was written in Fortran 90 programming language using the MPI message passing interface system and was tested on a SGI Origin 2000 parallel computer.