Abstract
Far field simulations of underground nuclear waste disposal involve a number of challenges for numerical simulations: widely differing lengths and time-scales, highly variable coefficients and stringent accuracy requirements. In the site under consideration by the French Agency for NuclearWaste Management (ANDRA), the repository would be located in a highly impermeable geological layer, whereas the layers just above and below have very different physical properties (see [1]).
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Bibliography
Stephan Schumacher Alain Bourgeat, Michel Kern and Jean Talandier. The couplex test cases: Nuclear waste disposal simulation. Computational Geosciences, 8:83–98, 2004.
D. Bennequin, M.J. Gander, and L.Halpern. A homographic best approximation problem with application to optimized Schwarz waveform relaxation. Math. Comp., 78:185–223, 2009.
M.J. Gander, L. Halpern, and M. Kern. Schwarz waveform relaxation method for advection–diffusion–reaction problems with discontinuous coefficients and non-matching grids. In O.B. Widlund and D.E. Keyes, editors, Decomposition Methods in Science and Engineering XVI, volume 55 of Lecture Notes in Computational Science and Engineering, pages 916–920. Springer, 2007.
L. Halpern, C. Japhet, and J. Szeftel. Discontinuous Galerkin and nonconforming in time optimized Schwarz waveform relaxation. In O. Widlund Y. Huang, R. Kornhuber and J. Xu, editors, Domain Decomposition Methods in Science and Engineering XIX, volume 78 of Lecture Notes in Computational Science and Engineering, pages 133–140, 2010.
L. Halpern, C. Japhet, and P. Omnes. Nonconforming in time domain decomposition method for porous media applications. In J. C. F. Pereira and A. Sequeira, editors, V European Conference on Computational Fluid Dynamics ECCOMAS CFD, Lisbon, Portugal,14–17 June 2010.
V. Martin. An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions. Appl. Numer. Math., 52:401–428, 2005.
Alfio Quarteroni and Alberto Valli. Domain Decomposition Methods for Partial Differential Equations. Oxford Science Publications, 1997.
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Japhet, C., Omnes, P. (2013). Optimized Schwarz Waveform Relaxation for Porous Media Applications. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_69
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