32 citations · 41 across the 14 of their papers we have counts for
14 papers
Linear Robin-type Domain Decomposition scheme for Mixed Formulation of Richards' Equation
Åsmund v. B. Synnevåg, Wietse M. Boon, Florin A. Radu +1
In this work, we present a linear Robin-type domain decomposition scheme for solving the mixed formulation of Richards' equation (mLRDD-scheme), governing flow in variably saturate…
Frequency Domain Biot--Allard Equations for Isotropic and Anisotropic Poroelastic Media: Two-field formulations and iterative splitting
Morten Jakobsen, Jakob Seierstad Stokke, Kundan Kumar +1
We present a frequency-domain formulation of Biot's dynamic poroelastic equations with frequency-dependent dissipation (Biot--Allard) for anisotropic, heterogeneous media with memo…
Data-driven stress problem under purely normal homogeneous Neumann boundary conditions
Cristian G. Gebhardt, Kundan Kumar, Florin A. Radu
Data-Driven Continuum Mechanics -- the continuous counterpart of Data-Driven Computational Mechanics -- is a modern paradigm that enhances classical continuum mechanics by incorpor…
A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations
Laura Portero, Andrés Arrarás, Francisco J. Gaspar +1
We study the slightly compressible Darcy-Forchheimer equations modeling gas flow in porous media, particularly in applications related to combustion processes. The equations are di…
Parareal algorithm for coupled elliptic-parabolic problems
Iñigo Jimenez-Ciga, Francisco Gaspar, Kundan Kumar +1
We present a convergence analysis of the parallel-in-time integration method known as the Parareal algorithm for degenerate differential-algebraic systems arising from quasi-static…
Convergent adaptive iterative schemes for solving multi-physics problems
Jakob S. Stokke, Kundan Kumar, Florin A. Radu
In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, gi…
The Biot-Allard poro-elasticity system: equivalent forms and well-posedness
Jakob S. Stokke, Markus Bause, Nils Margenberg +1
We consider the fully dynamic Biot-Allard model, which includes memory effects. Convolution integrals in time model the history of the porous medium. We use a series representation…
A History-dependent Dynamic Biot Model
Jakob S. Stokke, Morten Jakobsen, Kundan Kumar +1
In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We p…
Sequential solution strategies for the Cahn-Hilliard-Biot model
Erlend Storvik, Cedric Riethmüller, Jakub Wiktor Both +1
This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a complex mathematical model for understanding flow in deformable porous media with changin…
A fixed-stress type splitting method for nonlinear poroelasticity
Johannes Kraus, Kundan Kumar, Maria Lymbery +1
In this paper we consider a nonlinear poroelasticity model that describes the quasi-static mechanical behaviour of a fluid-saturated porous medium whose permeability depends on the…
Well-posedness analysis of the Cahn-Hilliard-Biot model
Cedric Riethmüller, Erlend Storvik, Jakub Wiktor Both +1
We investigate the well-posedness of the recently proposed Cahn-Hilliard-Biot model. The model is a three-way coupled PDE of elliptic-parabolic nature, with several nonlinearities…
Modeling of relative permeabilities including dynamic wettability transition zones
Abay M. Kassa, Sarah E. Gasda, K. Kumar +1
Wettability is a pore-scale property that impacts the relative movement and distribution of fluids in a porous medium. There are reservoir fluids that provoke the surface within po…
Impact of Time-Dependent Wettability Alteration on the Dynamics of Capillary Pressure
Abay M. Kassa, Sarah E. Gasda, K. Kumar +1
Wettability is a pore-scale property that has an important impact on capillarity, residual trapping, and hysteresis in porous media systems. In many applications, the wettability o…
A parallel-in-time fixed-stress splitting method for Biot's consolidation model
Manuel Borregales, Kundan Kumar, Florin Adrian Radu +2
In this work, we study the parallel-in-time iterative solution of coupled flow and geomechanics in porous media, modelled by a two-field formulation of the Biot's equations. In par…