Thermodynamically Consistent Discretisation of a Thermo-Hydro-Mechanical Model

DOI10.1007/978-3-031-40864-9_21zbMath1529.65036OpenAlexW4387214690MaRDI QIDQ6182865

Jérôme Droniou, Roland Masson, M. Laaziri

Publication date: 22 December 2023

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-40864-9_21

zbMATH Keywords

energy estimatesfinite volumethermo-poro-mechanicsthermodynamically consistent discretization

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Finite volume methods applied to problems in fluid mechanics (76M12) Seismology (including tsunami modeling), earthquakes (86A15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

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• Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
• A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS

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