A parallel scientific software for heterogeneous hydrogeoloy

Lecture Notes in Computational Science and Engineering

Volumn 67 LNCSE, Issue , 2009, Pages 39-48

  Erhel, J ^a   De Dreuzy, J R ^b   Beaudoin, A ^c   Bresciani, E ^a   Tromeur Dervout, D ^d  

^a INRIA   (France)

^b UNIVERSITÉ DE RENNES 1   (France)

^c UNIVERSITÉ DU HAVRE   (France)

^d UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78650268891     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-92744-0_5     Document Type: Conference Paper

References (29)

1. I. Babuska, R. Tempone, and G. Zouraris. Solving elliptic boundary value problems with uncertain coeffcients by the finite element method: the stochastic formulation. Computer methods in applied mechanics and engineering, 194:1251-1294, 2005.
2. A. Beaudoin, J-R. de Dreuzy, and J. Erhel. An efficient parallel particle tracker for advectiondiffusion simulations in heterogeneous porous media. In A.-M. Kermarrec, L. Boug, and T. Priol, editors, Euro-Par 2007, LNCS 4641, pages 705-714. Springer-Verlag, Berlin, Heidelberg, 2007.
3. A. Beaudoin, J-R. de Dreuzy, J. Erhel, and H. Mustapha. Parallel simulations of underground flow in porous and fractured media. In G.R. Joubert, W.E. Nagel, F.J. Peters, O. Plata, P. Tirado, and E. Zapata, editors, Parallel Computing: Current and Future Issues of High-End Computing, volume 33 of NIC Series, pages 391-398. NIC, 2006.
4. A. Beaudoin, J. Erhel, and J.-R. de Dreuzy. A comparison between a direct and a multigrid sparse linear solvers for highly heterogeneous flux computations. In Eccomas CFD 2006, volume CD, 2006.
5. J.-R. Cheng and P. Plassmann. The accuracy and performance of parallel in-element particle tracking methods. In Proceedings of the Tenth SIAM Conference on Parallel Processing for Scientific Computing, pages 252 -261. Portsmouth, VA, 2001.
6. C. Clauser. Permeability of crystalline rock. Eos Trans. AGU, 73:237-238, 1992.
7. G. Dagan, A. Fiori, and I. Jankovic. Flow and transport in highly heterogeneous formations: 1. conceptual framework and validity of first-order approximations. Water Resources Research, 9, 2003.
8. J.-R. de Dreuzy, A. Beaudoin, and J. Erhel. Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations. Water Resource Research, to appear.
9. J-R. de Dreuzy, P. Davy, and O. Bour. Hydraulic properties of two-dimensional random fracture networks following power law distributions of length and aperture. Water Resources Research, 38(12), 2002.
10. R. Detwiler, S. Mehl, H. Rajaram, and W. Cheung. Comparison of an algebraic multigrid algorithm to two iterative solvers used for modeling ground water flow and transport. groundwater, 40(3):267-272, 2002.
11. J. Erhel, A. Frullone, D. Tromeur-Dervout, and J.-R. de Dreuzy. Aitken-Schwarz DDM to solve Darcy flow in heterogeneous underground media. In Parallel Matrix Algorithms and Applications (PMAA06), 2006.
12. R. D. Falgout, J. E. Jones, and U. Meier Yang. Pursuing scalability for Hypre's conceptual interfaces. ACM Trans. Math. Softw., 31(3):326-350, 2005.
13. R.D. Falgout, J.E. Jones, and U.M. Yang. Numerical Solution of Partial Differential Equations on Parallel Computers, chapter The Design and Implementation of Hypre, a Library of Parallel High Performance Preconditioners, pages 267-294. Springer-Verlag, 2006.
14. Alan R. Freeze and John A. Cherry. Groundwater. Prentice Hall, 1979.
15. M. Garbey and D. Tromeur-Dervout. On some Aitken-like acceleration of the Schwarz method. Internat. J. Numer. Methods Fluids, 40(12):1493-1513, 2002.
16. L. Gelhar. Stochastic Subsurface Hydrology. Engelwood Cliffs, New Jersey, 1993.
17. I. G. Graham, P. O. Lechner, and R. Scheichl. Domain decomposition for multiscale PDEs. Numerische Mathematik, 106(4):589-626, 2007.
18. A. Gupta, F. Gustavson, M. Joshi, G. Karypis, and V. Kumar. Pspases: An efficient and scalable parallel sparse direct solver. In Tianruo Yang, editor, Kluwer International Series in Engineering and Computer Science, volume 515, 1999.
19. A.W. Harbaugh, E.R. Banta, M.C. Hill, and M.G. McDonald. MODFLOW-2000, the U.S. geological survey modular ground-water model -user guide to modularization concepts and the ground-water flow process. Open-File Report 00-92, U.S. Geological Survey, 2000.
20. E. Huber, D. Spivakovskaya, H. Lin, and A. Heemink. The parallel implementation of forward-reverse estimator. In P. Wesseling, E. Onate, and J. Periaux, editors, ECCOMAS CFD. TU Delft, The Netherlands, 2006.
21. B. Kaludercic. Parallelisation of the lagrangian model in a mixed eulerian-lagrangian cfd algorithm. Journal of Parallel and Distributed Computing, 64:277-284, 2004.
22. X. S. Li and J. W. Demmel. SuperLU-DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems. ACM Transactions on Mathematical Software (TOMS), 29(2):110-140, 2003.
23. P. Montarnal, A. Dimier, E. Deville, E. Adam, J. Gaombalet, A. Bengaouer, L. Loth, and C. Chavant. Coupling methodology within the software platform Alliances. In E. Oate M. Papadrakakis and B. Schrefler, editors, Int. Conf. on Computational Methods for Coupled Problems in Science and Engineering COUPLED PROBLEMS 2005, Barcelona, 2005. CIMNE.
24. K. Pruess, C. Oldenburg, and G. Moridis. Tough2 user's guide, version 2.0. report LBNL-43134, Lawrence Berkeley National Laboratory, 1999.
25. P. Salandin and V. Fiorotto. Solute transport in highly heterogeneous aquifers. Water Resources Research, 34:949-961, 1998.
26. J. Wheeler. Ipars user's manual. Technical report, University of Texas at Austin, 2000.
27. D. Zhang and Z. Lu. An efficient high-order perturbation approach for flow in random porous media via Karhunen-Love and polynomial expansions. Journal of Computational Physics, 194:773-794, 2004.
28. C. Zheng and G. D. Bennett. Applied Contaminant Transport Modeling; second edition. John Wiley & Sons, New-York, 2002.
29. C. Zheng and P. Wang. MT3DMS: a modular three-dimensional multi-species model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems: documentation and user's guide. Serdp-99-101, U.S. Army Engineer Research and Development Center, 1999.