Nonlinear Finite-Volume Scheme for Complex Flow Processes on Corner-Point Grids

  • Martin SchneiderEmail author
  • Dennis Gläser
  • Bernd Flemisch
  • Rainer Helmig
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 200)


The numerical simulation of subsurface processes requires efficient and robust methods due to the large scales and the complex geometries involved. In this article, a nonlinear finite-volume scheme is presented and applied to non-isothermal two-phase two-component flow in porous media. The idea of the scheme and the model used for the simulations are outlined and a comparison to a standard scheme used in industrial codes is made. Large-scale offshore CO\(_2\) storage in the Johansen formation serves as a benchmark problem, where it is demonstrated that the new scheme can handle highly complex corner-point grids and reproduces the physical processes with a higher accuracy than the standard discretization scheme.


Finite-volume method Monotone discretization Corner-point grid Challenging grids 

MSC (2010):

65M08 65N08 35Q30 



The authors would like to thank the German Research Foundation (DFG) for financial support of the project within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Martin Schneider
    • 1
    Email author
  • Dennis Gläser
    • 1
  • Bernd Flemisch
    • 1
  • Rainer Helmig
    • 1
  1. 1.Institute for Modelling Hydraulic and Environmental Systems (IWS)University of StuttgartStuttgartGermany

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