5 papers
A higher order polytopal method for contact mechanics with Tresca friction
Jerome Droniou, Raman Kumar, Roland Masson +1
In this work, we design and analyze a Discrete de Rham (DDR) scheme for a contact mechanics problem involving fractures along which a model of Tresca friction is considered. Our ap…
Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction
Jérôme Droniou, Ali Haidar, Roland Masson
This work performs the convergence analysis of the polytopal nodal discretisation of contact-mechanics (with Tresca friction) recently introduced in [18] in the framework of poro-e…
Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates
Jerome Droniou, Mohamed Laaziri, Roland Masson
In this study, we explore mixed-dimensional Thermo-Hydro-Mechanical (THM) models in fractured porous media accounting for Coulomb frictional contact at matrix fracture interfaces.…
Multi-segmented non-isothermal compositional liquid gas well model for geothermal processes
Daniel Castanon Quiroz, Laurent Jeannin, Simon Lopez +1
We consider a non-isothermal compositional gas liquid model for the simulation of well operations in geothermal processes. The model accounts for phase transitions assumed to be at…
A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces
Jérôme Droniou, Guillaume Enchéry, Isabelle Faille +2
The objective of this article is to address the discretisation of fractured/faulted poromechanical models using 3D polyhedral meshes in order to cope with the geometrical complexit…