activity
20182022
most citedFronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity

2 citations · 2 across the 6 of their papers we have counts for

collaborators

13 papers

math.AP2022

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…

math.NA2020

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…

math.NA2020

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…

physics.app-ph2020

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…

math.NA2019

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…

math.NA2019

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…