NDLI: A Parallel Solver for Large Scale DFN Flow Simulations

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Pieraccini, Sandra Berrone, Stefano Scialò, Stefano Vicini, Fabio
Copyright Year	2015
Abstract	Flows in fractured media have been modeled using many different approaches in order to get reliable and efficient simulations for many critical applications. The common issues to be tackled are the wide range of scales involved in the phenomenon, the complexity of the domain, and the huge computational cost. In the present paper we propose a parallel implementation of the PDE-constrained optimization method presented in [S. Berrone, S. Pieraccini, and S. Scialò, SIAM J. Sci. Comput., 35 (2013), pp. B487--B510; S. Berrone, S. Pieraccini, and S. Scialò, SIAM J. Sci. Comput., 35 (2013), pp. A908--A935; S. Berrone, S. Pieraccini, and S. Scialò, J. Comput. Phys., 256 (2014), pp. 838--853] for dealing with arbitrary discrete fracture networks (DFNs) on nonconforming grids. We show the scalability performances and the efficiency of the parallel algorithm, and we also test the robustness of the method on complex and strongly connected DFN configurations which would be very difficult to mesh using conventional approaches relying on some kind of mesh conformity at the interfaces.
Starting Page	C285
Ending Page	C306
Page Count	22
File Format	PDF
ISSN	10648275
DOI	10.1137/140984014
e-ISSN	10957197
Issue Number	3
Volume Number	37
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2015-05-07
Access Restriction	Subscribed
Subject Keyword	Computational methods Equations with nonlinear operators PDE-constrained optimization Parallel algorithms Simulation discrete fracture networks Error bounds Mesh generation and refinement single-phase flows Analysis of algorithms Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods message passing interface (MPI) parallel scalability
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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