The COUPLEX test cases: nuclear waste disposal simulation. The models appearing in the COUPLEX benchmark are a set of simplified albeit realistic test cases aimed at simulating the transport of radionuclides around a nuclear waste repository. Three different models were used. The first test case is related to simulations based on a simplified 2D far-field model close to those used for safety assessments in nuclear waste management. It leads to a classical convection diffusion type problem, but with highly variable parameters in space, highly concentrated sources in space and time, very different time scales and accurate results expected even after millions of years. The second test case is a simplification of a typical 3D near-field computation, taking into account the glass dissolution of vitrified waste, and the congruent release of several radionuclides (including daughter products), with their migration through the geological barrier. The aim of the third test case is to use the results of the near-field computation (COUPLEX 2) to drive the behavior of the nuclide source term in the far-field computation (COUPLEX 1). The modeling of this last case was purposely left rather open, unlike the previous two, leaving the choice to participants of the way the coupling should be made.

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  1. El Moutea, Omar; El Amri, Hassan: Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media (2021)
  2. Machat, Hela; Carrayrou, Jérôme: Comparison of linear solvers for equilibrium geochemistry computations (2017)
  3. Dong, Justin; Rivière, Béatrice: A semi-implicit method for incompressible three-phase flow in porous media (2016)
  4. Lejay, Antoine; Pichot, Géraldine: Simulating diffusion processes in discontinuous media: benchmark tests (2016)
  5. Gloria, Antoine; Goudon, Thierry; Krell, Stella: Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage (2013)
  6. Kamga, Jean-Baptiste Apoung: A penalty mechanism for discontinuous Galerkin processing of Darcy velocity (2012)
  7. Rosenbaum, Robert; Marpeau, Fabien; Ma, Jianfu; Barua, Aditya; Josić, Krešimir: Finite volume and asymptotic methods for stochastic neuron models with correlated inputs (2012)
  8. Arbogast, Todd; Wang, Wen-Hao: Stability, monotonicity, maximum and minimum principles, and implementation of the volume corrected characteristic method (2011)
  9. Droniou, Jérôme; le Potier, Christophe: Construction and convergence study of schemes preserving the elliptic local maximum principle (2011)
  10. Amir, Laila; Kern, Michel: A global method for coupling transport with chemistry in heterogeneous porous media (2010)
  11. Lejay, Antoine; Maire, Sylvain: Simulating diffusions with piecewise constant coefficients using a kinetic approximation (2010)
  12. Marpeau, Fabien; Saad, Mazen: 3D simulation of radionuclide transport in porous media (2010)
  13. Geiser, Jürgen: Discretization methods with analytical characteristic methods for advection-diffusion-reaction equations and 2D applications (2009)
  14. Amaziane, Brahim; El Ossmani, Mustapha: Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods (2008)
  15. Amaziane, Brahim; El Ossmani, Mustapha; Serres, Christophe: Numerical modeling of the flow and transport of radionuclides in heterogeneous porous media (2008)
  16. Marpeau, F.: Simulating the contamination of populations by a polluted environment (2008)
  17. Vassilevskij, Yu. V.; Kapyrin, I. V.: Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes (2008)
  18. Vohralík, Martin: Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods (2008)
  19. Apoung Kamga, Jean-Baptiste; Pironneau, Olivier: Numerical zoom for multiscale problems with an application to nuclear waste disposal (2007)
  20. Bernardi, Christine; Hecht, Frédéric; Mghazli, Zoubida: Mortar finite element discretization for the flow in a nonhomogeneous porous medium (2007)

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