Open Access

ARTICLE

An Efficient Parallel MLPG Method for Poroelastic Models

Luca Bergamaschi^1,2, ,Ángeles Martínez², Giorgio Pini²

1 Corresponding author. Tel.: 0039 049 8271307. E-mail: berga@dmsa.unipd.it
2 Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Padova. Via Trieste 63, 35127 Padova, Italy

Computer Modeling in Engineering & Sciences 2009, 49(3), 191-216. https://doi.org/10.3970/cmes.2009.049.191

Abstract

A meshless model, based on the Meshless Local Petrov-Galerkin (MLPG) approach, is developed and implemented in parallel for the solution of axi-symmetric poroelastic problems. The parallel code is based on a concurrent construction of the stiffness matrix by the processors and on a parallel preconditioned iterative method of Krylov type for the solution of the resulting linear system. The performance of the code is investigated on a realistic application concerning the prediction of land subsidence above a deep compacting reservoir. The overall code is shown to obtain a very high parallel efficiency (larger than 78% for the solution phase) and it is successfully applied to the solution of a poroelastic problem with a fine discretization which produces a linear system with more than 6 million equations using up to 512 processors on the HPCx supercomputer.

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Keywords

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