• Depressurization of carbon dioxide in pipelines- Models and methods 

      Lund, Halvor; Flåtten, Tore; Munkejord, Svend Tollak (Journal article; Peer reviewed, 2011)
      A model for two-phase carbon dioxide transport with phase transfer in pipelines is presented. The stiffened-gas equation of state is used for calculating thermodynamical properties. The convergence and accuracy of two ...
    • An exponential time-differencing method for monotonic relaxation systems 

      Aursand, Peder; Evje, Steinar; Flåtten, Tore; Teigen, Knut Erik; Munkejord, Svend Tollak (Peer reviewed; Journal article, 2014)
      We present first and second-order accurate exponential time differencing methods for a special class of stiff ODEs, denoted as monotonic relaxation ODEs. Some desirable accuracy and robustness properties of our methods are ...
    • Large Time Step Roe scheme for a common 1D two-fluid model 

      Prebeg, Marin; Flåtten, Tore; Müller, Bernhard (Peer reviewed; Journal article, 2017)
      We present the Large Time Step (LTS) extension of the Roe scheme and apply it to a standard two-fluid model. Herein, LTS denotes a class of explicit methods that are not limited by the CFL (Courant–Friedrichs–Lewy) condition, ...
    • On the dispersive wave-dynamics of 2 x 2 relaxation systems 

      Aursand, Peder; Flåtten, Tore (Journal article; Peer reviewed, 2012)
      We consider hyperbolic conservation laws with relaxation terms. By studying the dispersion relation of the solution of general linearized 2 × 2 hyperbolic relaxation systems, we investigate in detail the transition between ...
    • On the effect of temperature and velocity relaxation in two-phase flow models 

      Martinez Ferrer, Pedro José; Flåtten, Tore; Munkejord, Svend Tollak (Journal article; Peer reviewed, 2012)
      We study a two-phase pipe flow model with relaxation terms in the momentum and energy equations, driving the model towards dynamic and thermal equilibrium. These equilibrium states are characterized by the velocities and ...
    • Review of two-phase flow models for control and estimation 

      Aarsnes, Ulf Jakob Flø; Flåtten, Tore; Aamo, Ole Morten (Peer reviewed; Journal article, 2016)
      Most model-based control and estimation techniques put limitations on the structure and complexity of the models to which they are applied. This has motivated the development of simplified models of gas-liquid two-phase ...