10 papers
Isochoric thermodynamic preconditioning for resolving mechanically induced phase change in fractured porous media
Veljko Lipovac, Eirik Keilegavlen, Inga Berre
Rapid pore-volume changes can trigger phase change on timescales shorter than characteristic transport times and may therefore be skipped by conventional nonlinear solves and adapt…
Numerical analysis of the Biot equations coupled to frictional contact mechanics
Marius Nevland, Kundan Kumar, Inga Berre +2
We consider a mathematical model of a poro-visco-elastic medium subject to frictional contact with a rigid obstacle, and study its numerical approximation. This model couples the B…
Augmented Lagrangian Solvers for Poroelasticity with Fracture Contact Mechanics
Marius Nevland, Inga Berre, Jakub Wiktor Both +1
In the subsurface, fractures and the surrounding porous rock can deform in interaction with fluid flow. Advanced mathematical models governing these coupled processes typically com…
A posteriori error estimates for mixed-dimensional Darcy flow using non-matching grids
Jhabriel Varela, Christian E. Schaerer, Eirik Keilegavlen +1
In this article, we extend the a posteriori error estimates for hierarchical mixed-dimensional elliptic equations developed in [Varela et al., J. Numer. Math., 48 (2023), pp. 247-2…
Persistent-variable thermal compositional simulation of multiphase flow with phase separation in porous media
Veljko Lipovac, Omar Duran, Eirik Keilegavlen +1
Thermal compositional multiphase flow in porous media with phase transitions involves complex nonlinear interactions among flow, transport, and phase equilibrium. This paper presen…
Data-driven linear solver selection and performance tuning for multiphysics simulations in porous media
Yury Zabegaev, Inga Berre, Eirik Keilegavlen
Modeling multiphysics processes in porous media requires preconditioned iterative linear solvers to enable efficient simulations at industry-relevant scales. These solvers are typi…