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Journal of Applied Mathematics
Volume 2014, Article ID 686873, 10 pages
http://dx.doi.org/10.1155/2014/686873
Research Article

Large Scale Simulation of Hydrogen Dispersion by a Stabilized Balancing Domain Decomposition Method

1School of Engineering, Sun Yat-Sen University, Guangzhou 510275, China
2School of Pharmaceutical Sciences, Sun Yat-Sen University, Guangzhou 510006, China

Received 20 February 2014; Accepted 13 April 2014; Published 16 July 2014

Academic Editor: Alicia Cordero

Copyright © 2014 Qing-He Yao and Xin Pan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The dispersion behaviour of leaking hydrogen in a partially open space is simulated by a balancing domain decomposition method in this work. An analogy of the Boussinesq approximation is employed to describe the connection between the flow field and the concentration field. The linear systems of Navier-Stokes equations and the convection diffusion equation are symmetrized by a pressure stabilized Lagrange-Galerkin method, and thus a balancing domain decomposition method is enabled to solve the interface problem of the domain decomposition system. Numerical results are validated by comparing with the experimental data and available numerical results. The dilution effect of ventilation is investigated, especially at the doors, where flow pattern is complicated and oscillations appear in the past research reported by other researchers. The transient behaviour of hydrogen and the process of accumulation in the partially open space are discussed, and more details are revealed by large scale computation.