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11 papers · 2 filters
On the optimization of the fixed-stress splitting for Biot's equations
Erlend Storvik, Jakub Wiktor Both, Kundan Kumar +2
In this work we are interested in effectively solving the quasi-static, linear Biot model for poromechanics. We consider the fixed-stress splitting scheme, which is a popular metho…
A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models
Elyes Ahmed, Alessio Fumagalli, Ana Budiša
In this paper, a multiscale flux basis algorithm is developed to efficiently solve a flow problem in fractured porous media. Here, we take into account a mixed-dimensional setting…
Call for participation: Verification benchmarks for single-phase flow in three-dimensional fractured porous media
Inga Berre, Wietse Boon, Bernd Flemisch +6
This call for participation proposes four benchmark tests to verify and compare numerical schemes to solve single-phase flow in fractured porous media. With this, the two-dimension…
Upscaling of unsaturated flow in fractured porous media
Florian List, Kundan Kumar, Iuliu Sorin Pop +1
In this work, we consider a mathematical model for flow in a unsaturated porous medium containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the fl…
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten +1
In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated materials. The model of interest couples the Richards equation with linear elasticity equ…
Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
Alessio Fumagalli, Eirik Keilegavlen, Stefano Scialò
Simulations of fluid flow in naturally fractured rocks have implications for several subsurface applications, including energy storage and extraction, and waste storage. We are int…