Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage
From MaRDI portal
Publication:554529
DOI10.1016/j.matcom.2010.12.016zbMath1419.76449OpenAlexW2077522398MaRDI QIDQ554529
Sylvie Granet, Robert Eymard, Ophélie Angelini, Eric Chénier, Clément Chavant
Publication date: 4 August 2011
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2010.12.016
Hydrology, hydrography, oceanography (86A05) Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12)
Related Items
A hybrid-dimensional compositional two-phase flow model in fractured porous media with phase transitions and Fickian diffusion, Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation, Numerical simulation of gas migration through engineered and geological barriers for a deep repository for radioactive waste, Unnamed Item, Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions, On persistent primary variables for numerical modeling of gas migration in a nuclear waste repository, Fully coupled generalized hybrid-mixed finite element approximation of two-phase two-component flow in porous media. I: Formulation and properties of the mathematical model, Numerical simulations of water-gas flow in heterogeneous porous media with discontinuous capillary pressures by the concept of global pressure, Modeling and simulation of two-phase two-component flow with disappearing nonwetting phase, Modeling and simulation of partially miscible two-phase flow with kinetics mass transfer, A domain decomposition method to couple nonisothermal compositional gas liquid Darcy and free gas flows, Coupling compositional liquid gas Darcy and free gas flows at porous and free-flow domains interface, Structure exploiting methods for fast uncertainty quantification in multiphase flow through heterogeneous media, Two-phase Two-component Flow in Porous Media in Low Solubility Regime, Coupling of a two phase gas liquid compositional 3D Darcy flow with a 1D compositional free gas flow, Non-isothermal compositional liquid gas Darcy flow: formulation, soil-atmosphere boundary condition and application to high-energy geothermal simulations, Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems
Uses Software
Cites Work
- Two-phase, partially miscible flow and transport modeling in porous media; application to gas migration in a nuclear waste repository
- A vanishing diffusion process in unsaturated soils
- A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
- Mathematical analysis of nonlinear models of petrol engineering
- A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints
- A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension