• An exponential time-differencing method for monotonic relaxation systems 

      Aursand, Peder; Evje, Steinar; Flåtten, Tore; Teigen, Knut Erik; Munkejord, Svend Tollak (Journal article; Peer reviewed, 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 ...
    • CO2 pipeline integrity: A coupled fluid-structure model using a reference equation of state for CO2 

      Aursand, Eskil; Aursand, Peder; Berstad, Torodd; Dørum, Cato; Hammer, Morten; Munkejord, Svend Tollak; Nordhagen, Håkon Ottar (Journal article; Peer reviewed, 2013)
      We present a coupled fluid-structure model to study crack propagation and crack arrest in pipelines. Numerical calculations of crack arrest, crack velocity and pressure profiles have been performed for steel pipes with an ...
    • Numerical solution of the dynamics of director fields in nematic liquid crystals 

      Aursand, Peder (Doctoral thesis at NTNU;2015:303, Doctoral thesis, 2015)
      Since their discovery in the late 1800s, liquid crystals have become an important part of the technology of the modern world. As a consequence the study of anisotropic liquids in general, and liquid crystals in particular, ...
    • Splitting methods for relaxation two-phase flow models 

      Lund, Halvor; Aursand, Peder (Journal article; Peer reviewed, 2013)
      A model for two-phase pipeline flow is presented, with evaporation and condensation modelled using a relaxation source term based on statistical rate theory. The model is solved numerically using a Godunov splitting scheme, ...
    • The spinodal of single- and multi-component fluids and its role in the development of modern equations of state 

      Aursand, Peder; Gjennestad, Magnus Aashammer; Aursand, Eskil; Hammer, Morten; Wilhelmsen, Øivind (Journal article; Peer reviewed, 2016)
      The spinodal represents the limit of thermodynamic stability of a homogeneous fluid. In this work, we present a robust methodology to obtain the spinodal of multicomponent fluids described even with the most sophisticated ...
    • Thermodynamic modeling with equations of state: present challenges with established methods 

      Wilhelmsen, Øivind; Aasen, Ailo; Skaugen, Geir; Aursand, Peder; Austegard, Anders; Aursand, Eskil; Gjennestad, Magnus Aashammer; Lund, Halvor; Linga, Gaute; Hammer, Morten (Journal article; Peer reviewed, 2017)
      Equations of state (EoS) are essential in the modeling of a wide range of industrial and natural processes. Desired qualities of EoS are accuracy, consistency, computational speed, robustness and predictive ability outside ...