263 citations · 936 across the 46 of their papers we have counts for
13 papers · 1 filter
Iterative Coupling for Fully Dynamic Poroelasticity
Markus Bause, Jakub W. Both, Florin A. Radu
We present an iterative coupling scheme for the numerical approximation of the mixed hyperbolic-parabolic system of fully dynamic poroelasticity. We prove its convergence in the Ba…
An efficient numerical scheme for fully coupled flow and reactive transport in variably saturated porous media including dynamic capillary effects
Davide Illiano, Iuliu Sorin Pop, Florin Adrian Radu
In this paper, we study a model for the transport of an external component, e.g., a surfactant, in variably saturated porous media. We discretize the model in time and space by com…
The fixed-stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanic subproblems while adding a st…
Implicit linearization method for non-standard two-phase flow in porous media
Abay M. Kassa, Kundan Kumar, Sarah E. Gasda +1
In this paper, we consider a non-local (in time) two-phase flow model. The non-locality is introduced through the wettability alteration induced dynamic capillary pressure function…
The gradient flow structures of thermo-poro-visco-elastic processes in porous media
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten +1
In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in porous media are examined for the first time. In the first part, a modelling framewor…
Robust linear domain decomposition schemes for reduced non-linear fracture flow models
Elyes Ahmed, Alessio Fumagalli, Ana Budiša +3
In this work, we consider compressible single-phase flow problems in a porous media containing a fracture. In the latter, a non-linear pressure-velocity relation is prescribed. Usi…
Iterative schemes for surfactant transport in porous media
Davide Illiano, Iuliu Sorin Pop, Florin Adrian Radu
In this work we consider the transport of a surfactant in a variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the t…
Iterative solvers for Biot model under small and large deformation
Manuel Antonio Borregales, Kundan Kumar, Jan Martin Nordbotten +1
We consider L-scheme and Newton based solvers for Biot model under small or large deformation. The mechanical deformation follows the Saint Venant-Kirchoff constitutive law. Furthe…
Adaptive numerical homogenization of non-linear diffusion problems
Manuela Bastidas, Carina Bringedal, Sorin Pop +1
We propose an efficient numerical strategy for simulating fluid flow through porous media with highly oscillatory characteristics. Specifically, we consider non-linear diffusion mo…
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters
Mats Kirkesæther Brun, Thomas Wick, Inga Berre +2
This paper concerns the analysis and implementation of a novel iterative staggered scheme for quasi-static brittle fracture propagation models, where the fracture evolution is trac…
Monolithic and splitting based solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
Mats Kirkesæther Brun, Elyes Ahmed, Inga Berre +2
This paper concerns splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulat…
A pore-scale study of transport of inertial particles by water in porous media
Max A. Endo Kokubun, Adrian Muntean, Florin A. Radu +4
We study the transport of inertial particles in water flow in porous media. Our interest lies in understanding the accumulation of particles including the possibility of clogging.…
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
Elyes Ahmed, Jan Martin Nordbotten, Florin Adrian Radu
In this paper we develop adaptive iterative coupling schemes for the Biot system modeling coupled poromechanics problems. We particularly consider the space-time formulation of the…