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8 papers · 2 filters
Hybrid-Dimensional Finite Volume Discretizations for Fractured Porous Media
Ivar Stefansson, Inga Berre, Eirik Keilegavlen
Over the last decade, finite volume discretizations for flow in porous media have been extended to handle situations where fractures dominate the flow. These discretizations have s…
What is a post-Lie algebra and why is it useful in geometric integration
Charles Curry, Kurusch Ebrahimi-Fard, Hans Munthe-Kaas
We explain the notion of a post-Lie algebra and outline its role in the theory of Lie group integrators.
A double-layer reduced model for fault flow on slipping domains with hybrid finite volume scheme
Alessio Fumagalli, Isabelle Faille
In this work we are interested in dealing with single-phase flows in fractured porous media for underground processes. We focus our attention on domains where the presence of fault…
Dual virtual element method in presence of an inclusion
Alessio Fumagalli
We consider a Darcy problem for saturated porous media written in dual formulation in presence of a fully immersed inclusion. The lowest order virtual element method is employ to d…
A linear domain decomposition method for partially saturated flow in porous media
David Seus, Koondanibha Mitra, Iuliu Sorin Pop +2
The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded…
Convergence of finite difference methods for the wave equation in two space dimensions
Siyang Wang, Anna Nissen, Gunilla Kreiss
When using a finite difference method to solve an initial--boundary--value problem, the truncation error is often of lower order at a few grid points near boundaries than in the in…