Research areas

• conservation laws
• operator splitting
• front tracking
• multi phase flow in porous media
• convection-diffusion equations
• interfacial area and multi phase flow
• network models for porous media

Publications, talks and attended conferences

• Master thesis - " On Solving a Three Phase Flow Model with Capillary Forces "
  • short introduction [ html ]
  • print version [ ps ] (2.1 MB)
  • print/web version [ pdf ] (0.8 MB)
  
  
• PhD thesis - " Modeling of Multi Phase Flow in Porous Media: Operator Splitting, Front Tracking, Interfacial Area and Network Models "
  • print version [ pdf ] (8.0 MB)
  • interactive version [ pdf ] (8.1 MB)
  
  
• Publications
  • "Two phase flow including interfacial area as a variable", H.F.Nordhaug, H.K.Dahle, M.S.Espedal, W.G.Gray & M.A.Celia, Proceedings of the XIII international conference on computational methods in water resources, 231-238, (2000).
  • "A local streamline Eulerian-Lagrangian method for two-phase flow", A.K.Ask, H.K.Dahle, K.H.Karlsen & H.F.Nordhaug, Proceedings of the XIII international conference on computational methods in water resources, 645-650, (2000).
  • "Operator splitting methods for systems of convection-dision equations: Nonlinear error mechanisms and correction strategies" , K.H.Karlsen, K.-A.Lie, J.R.Natvig, H.F.Nordhaug & H.K.Dahle, Journal of Computational Physics, 173(2):636-663, (2001).
  • "A streamline front tracking method for two- and three-phase flow including capillary forces", I. Berre, H.K.Dahle, K.H.Karlsen & H.F.Nordhaug, Contemporary Mathematics: Fluid flow and transport in porous media: mathematical and numerical treatment, 295:49-61, (2002).
  • "A pore network model for calculation of interfacial velocities" , H.F.Nordhaug, M.Celia & H.K.Dahle Advances in Water Resources, 26(10):1061-1074, (2003).
  
  
• Conferences/seminars with contributions
  • "Fifth SIAM Conference on Mathematical and Computational Issues in the Geoscience", 24.-27. March 1999, San Antonio, Texas, US.
    Talk: "Corrected operator splitting for a 2 x 2 system of parabolic equations"
  • "Workshop on Flow and Transport in Porous Media", 7.-8. June 1999, Lindås, Norway.
    Talk: "Corrected operator splitting for a triangular 2 x 2 systems of parabolic equations"
  • "5th Nordic Computational Differential Equation Circus", 10.-11. March 2000, Bergen, Norway.
    Talk: "A Sketch: Solving a Multidimensional Three Phase Flow Problem"
  • "XIII International Conference on Computational Methods in Water Resources", 25. - 29. June 2000, Calgary, Canada.
    Talk: "Two phase flow including interfacial area as a variable"
  • "Gordon Research Conference - Modeling of Flow in Permeable Media", 6. - 11. August 2000, Andover, New Hampshire, US.
    Poster: "Two phase flow: Two coupled equations for interfacial area and saturation"
  • "International Workshop and Tutorial Lectures on Subsurface Flow and Transport Phenomena", 23. - 27. October 2000, Delft, the Netherlands.
    Poster: "Two Phase Flow, Interfacial Area and Dynamic Network Modeling"
  
  
• Conferences/seminars without contributions
  • "Workshop and Tutorial Lectures on Nonlinear Flow and Transport Processes in Porous Media", 2.-6. November 1998, Delft, Netherlands.
  • "Godunov Methods: Theory and Applications", 18.-22. October 1999, Oxford, England.
  • "SPE Offshore Bergen: Drilling, Completion and Reservoir Technology Seminar", 4. April 2000, Bergen, Norway.