| Parallel Solution in PC Clusters by the Schwarz Domain Decomposition for Three-dimensional Hydrodynamics Models |
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| Rogerio Rizzi - Universidade Estadual do Oeste do Parana/Universidade Federal do Rio Grande do Sul Ricardo Dorneles - Universidade de Caxias do Sul/Universidade Federal do rio Grande do Sul Tiaraju Diverio - Universidade Federal do rio Grande do Sul Philippe Navaux - Universidade Federal do rio Grande do Sul |
This work describes a parallel solution for three-dimensional PDEs of shallow water bodies flow. The conjugate gradient algorithm was used to solve the SPD system of equations whose unknowns are the water surface elevations. The horizontal velocities are recovered from the solution of a set of tridiagonal systems of equations, through Cholesky algorithm. The vertical velocities are calculated explicitly. The domain is partitioned using METIS library and RCB algorithm in order to minimize communications and balance the load. The parallelism is obtained through Schwarz additive DDM in a way that the sub-problems are concurrently solved. The message passing among the processes in the PC cluster is done with MPI library |