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

Now showing items 1-5 of 5

    • A Cahn-Hilliard-Biot system and its generalized gradient flow structure 

      Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2022)
      In this work, we propose a new model for flow through deformable porous media, where the solid material has two phases with distinct material properties. The two phases of the porous material evolve according to a generalized ...

    • An isenthalpic formulation for simulating geothermal systems with phase changes 

      Duran Triana, Omar Yesid; Lipovac, Veljko; Keilegavlen, Eirik; Radu, Adrian Florin; Berre, Inga (Chapter; Peer reviewed, 2023)
      We propose a unified isenthalpic formulation for the equilibrium problem of compositional multiphase mixtures. To solve the equilibrium problem numerically, we used an interior point method with line search and present an ...

    • A posteriori error estimates for hierarchical mixed-dimensional elliptic equations 

      Varela, Jhabriel; Ahmed, Elyes; Keilegavlen, Eirik; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2022)
      Mixed-dimensional elliptic equations exhibiting a hierarchical structure are commonly used to model problems with high aspect ratio inclusions, such as flow in fractured porous media. We derive general abstract estimates ...

    • Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models 

      Ahmed, Elyes; Fumagalli, Alessio; Budisa, Ana; Keilegavlen, Eirik; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2021)
      In this work, we consider compressible single-phase flow problems in a porous medium containing a fracture. In the fracture, a nonlinear pressure-velocity relation is prescribed. Using a non-overlapping domain decomposition ...

    • Unified flash calculations with isenthalpic and isochoric constraints 

      Lipovac, Veljko; Duran Triana, Omar Yesid; Keilegavlen, Eirik; Radu, Adrian Florin; Berre, Inga (Journal article; Peer reviewed, 2024)
      In the unified flash procedure, a persistent set of unknowns and equations are solved in equilibrium calculations, allowing for simultaneous phase stability and split calculations. For fluids in a subcritical thermodynamic ...