Abstract
We demonstrate the feasibility of the domain decomposition method in simulating large scale finite element models through the ADVENTURE code, an open source freeware partly developed by the Computational Mechanics Laboratory at Kyushu University. Our model is that of hydrogen dispersion in a partially open space, chosen because of its relevance to the safe use of hydrogen as a potential replacement for fossil fuels. An analogy of the Boussinesq approximation is applied in our simulation. We describe the formulations and the model, followed by some results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kanayama H., Tagami D., Chiba M.: Stationary incompressible viscous flow analysis by a domain decomposition method. Decompos. Methods Sci. Eng. XVI, 611–618 (2006)
Kanayama H., Ogino M., Takesue N., Mukaddes A.M.M.: Finite element analysis for stationary incompressible viscous flow analysis by a domain decomposition method. Theor. Appl. Mech. 54, 211–219 (2005)
Kanayama, H., Kume, H., Tagami, D.: Incompressible viscous flow analysis by a domain decomposition method. In: 4th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS2004), vol. II, pp. 1–12 (2004)
Kanayama H., Tagami D., Araki T., Kume H.: A stabilization technique for stationary flow problems. Int. J. Comput. Fluid Dyn. 18(4), 297–301 (2004)
Girault V., Raviart P.A.: Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms. Springer, New York (1986)
Inoue M., Tsukikawa H., Kanayama H., Matsuura K.: Experimental study on leaking hydrogen dispersion in a partially open space. J. Hydrog. Energy Syst. Soc. Jpn. 33(4), 32–43 (2008) (in Japanese)
Kanayama H., Tsukikawa H., Ndong-Mefane S.B., Sakuragi O.: Finite element simulation of hydrogen dispersion by the analogy of the Boussinesq approximation. J. Comput. Sci. Tech. 2(4), 643–654 (2008)
Zhang S.L.: GPBi-CG: generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems. SIAM J. Sci. Comput. 18, 537–551 (1997)
van der Vorst H.A.: Iterative Krylov Methods for Large Linear Systems. Cambridge University Press, London (2003)
Glowinski R., Dinh Q.V., Periaux J.: Domain decomposition methods for nonlinear problems in fluid dynamics. Comput. Methods Appl. Mech. Eng. 40, 27–109 (1983)
Quarteroni A., Valli A.: Domain Decomposition Methods for Partial Differential Equations. Oxford University Press, New York (1999)
Hasbani Y., Engelman M.: Out-of-core solution of linear equations with non-symmetric coefficient matrix. Comput. Fluid 7, 13–31 (1979)
Yagawa G., Shioya R.: Parallel finite elements on a massively parallel computer with domain decomposition. Comput. Syst. Eng. 4, 495–503 (1993)
Shioya, R., Yagawa, G.: Iterative domain decomposition FEM with preconditioning technique for large scale problem. In: ECM’99: Progress in Experimental and Computational Mechanics in Engineering and Material Behaviour, pp. 255–260 (1999)
Agarant, V., Cheng, Z., Tchouvelev, A.: CFD modeling of hydrogen releases and dispersion in hydrogen energy station. In: Proceedings of The 15th World Hydrogen Energy Conference (2004)
Swain, M.R., Grilliot, E.S., Swain, M.N.: Risks incurred by hydrogen escaping from containers and conduits. In: Proceedings of the 1998 US DOE Hydrogen Program Review, NREL/CP-570-25315 (1998)
Matsuura K., Kanayama H., Tsukikawa H., Inoue M.: Numerical simulation of leaking hydrogen dispersion behavior in a partially open space. Int. J. Hydrog. Energy 33, 240–247 (2008)
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Kanayama, H., Tsukikawa, H. & Ismail, I. Simulation of hydrogen dispersion by the domain decomposition method. Japan J. Indust. Appl. Math. 28, 43–53 (2011). https://doi.org/10.1007/s13160-011-0023-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13160-011-0023-3