49 citations · 195 across the 24 of their papers we have counts for
25 papers
An adaptive, space-time discretized linear iterative scheme for doubly-degenerate parabolic problems
Ayesha Javed, Koondanibha Mitra, Iuliu Sorin Pop
Degenerate diffusion problems, where the governing parabolic equation can change type to either an ordinary differential equation or an elliptic equation, model many real life appl…
Robust, fast, and adaptive splitting schemes for nonlinear doubly-degenerate diffusion equations
Ayesha Javed, Koondanibha Mitra, Iuliu Sorin Pop
We consider linear iterative schemes for the time-discrete equations stemming from a class of nonlinear, doubly-degenerate parabolic equations. More precisely, the diffusion is non…
Efficient iterative linearised solvers for numerical approximations of stochastic Stefan problems
Muhammad Awais Khan, Jérôme Droniou, Kim-Ngan Le +1
We present iterative solvers to approximate the solution of numerical schemes for stochastic Stefan problems. After briefly talking about the convergence results, we tackle the que…
Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth
R. K. H. Smeets, K. Mitra, I. S. Pop +1
We propose and analyse numerical schemes for a system of quasilinear, degenerate evolution equations modelling biofilm growth as well as other processes such as flow through porous…
Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…
Homogenization of a mineral dissolution and precipitation model involving free boundaries at the micro scale
Markus Gahn, Iuliu Sorin Pop
In this work we present the homogenization of a reaction-diffusion model that includes an evolving microstructure. Such type of problems model, for example, mineral dissolution and…
Space-time upscaling of reactive transport in porous media
Nicolae Suciu, Florin A. Radu, Iuliu S. Pop
Reactive transport in saturated/unsaturated porous media is numerically upscaled to the space-time scale of a hypothetical measurement through coarse-grained space-time (CGST) aver…
Upscaling of a Cahn-Hilliard Navier-Stokes Model with Precipitation and Dissolution in a Thin Strip
Lars von Wolff, Iuliu Sorin Pop
We consider a phase-field model for the incompressible flow of two immiscible fluids. This model extends widespread models for two fluid phases by including a third, solid phase, w…
Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media
Davide Illiano, Jakub Wiktor Both, Iuliu Sorin Pop +1
We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flo…
Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions
Markus Gahn, Maria Neuss-Radu, Iulio Sorin Pop
We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear reactions in the bulk and at the microscopic boundary, and low diffusion scaling. The micr…
An adaptive multi-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media
Manuela Bastidas, Carina Bringedal, Iuliu Sorin Pop
Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challengin…
Mathematical Modeling, Laboratory Experiments, and Sensitivity Analysis of Bioplug Technology at Darcy Scale
David Landa-Marbán, Gunhild Bødtker, Bartek Florczyk Vik +4
In this paper we study a Darcy-scale mathematical model for biofilm formation in porous media. The pores in the core are divided into three phases: water, oil, and biofilm. The wat…
Dynamic and weighted stabilizations of the -scheme applied to a phase-field model for fracture propagation
Christian Engwer, Iuliu Sorin Pop, Thomas Wick
We consider a phase-field fracture propagation model, which consists of two (nonlinear) coupled partial differential equations. The first equation describes the displacement evolut…
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…
Global existence of a weak solution to unsaturated poroelasticity
Jakub Wiktor Both, Iuliu Sorin Pop, Ivan Yotov
In this paper, we consider unsaturated poroelasticity, i.e., coupled hydro-mechanical processes in unsaturated porous media, modeled by a non-linear extension of Biot's quasi-stati…
Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity
Koondanibha Mitra, Tobias Köppl, Cornelis Johannes van Duijn +2
In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effe…
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…
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.…
An upscaled model for permeable biofilm in a thin channel and tube
David Landa-Marbán, Gunhild Bødtker, Kundan Kumar +2
In this paper, we derive upscaled equations for modelling biofilm growth in porous media. The resulting macro-scale mathematical models consider permeable multi-species biofilm inc…
A pore-scale model for permeable biofilm: numerical simulations and laboratory experiments
David Landa-Marbán, Na Liu, Iuliu Sorin Pop +5
In this paper we derive a pore-scale model for permeable biofilm formation in a two-dimensional pore. The pore is divided in two phases: water and biofilm. The biofilm is assumed t…
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…
Numerical simulation of biofilm formation in a microchannel
David Landa-Marbán, Iuliu S. Pop, Kundan Kumar +1
The focus of this paper is the numerical solution of a pore-scale model for the growth of a permeable biofilm. The model includes water flux inside the biofilm, different biofilm c…
Linear iterative schemes for doubly degenerate parabolic equations
Jakub W. Both, Kundan Kumar, Jan M. Nordbotten +2
Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore low…
A linear domain decomposition method for two-phase flow in porous media
David Seus, Florin A. Radu, Christian Rohde
This article is a follow up of our submitted paper [11] in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated a…