Browsing Department of Mathematics by Author "Radu, Adrian Florin"

Now showing items 1-5 of 5

    • Consistency issues in pdf methods 

      Suciu, Nicolae; Schüler, Lennart; Radu, Adrian Florin; Attinger, Sabine; Vamo̧s, Cǎlin; Knabner, Peter (Peer reviewed; Journal article, 2015)
      Concentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations for the one-point one-time PDF are usually ...

    • A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media 

      Radu, Adrian Florin; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Kumar, Kundan (Peer reviewed; Journal article, 2015-12)
      In this work we consider a mathematical model for two-phase flow in porous media. The fluids are assumed immiscible and incompressible and the solid matrix non-deformable. The mathematical model for the two-phase flow is ...

    • Solute transport in aquifers with evolving scale heterogeneity 

      Suciu, Nicolae; Attinger, Sabine; Radu, Adrian Florin; Vamo̧s, Cǎlin; Vanderborght, Jan; Vereecken, Harry; Knabner, Peter (Peer reviewed; Journal article, 2015)
      Transport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we show that anomalous superdiffusive behavior ...

    • A study on iterative methods for Richards' equation 

      List, Florian; Radu, Adrian Florin (Peer reviewed; Journal article, 2016-04)
      This work concerns linearization methods for efficiently solving the Richards equation, a degenerate elliptic-parabolic equation which models flow in saturated/unsaturated porous media. The discretization of Richards’ ...

    • An Upscaled Model for Permeable Biofilm in a Thin Channel and Tube 

      Marban, David Landa; Bødtker, Gunhild; Kumar, Kundan; Pop, Iuliu Sorin; Radu, Adrian Florin (Peer reviewed; Journal article, 2020-01-21)
      In this paper, we derive upscaled equations for modeling biofilm growth in porous media. The resulting macroscale mathematical models consider permeable multi-species biofilm including water flow, transport, detachment and ...