Decoupled Schemes for Free Flow and Porous Medium Systems

  • Iryna Rybak
  • Jim Magiera
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)


A comparison study of different decoupled schemes for the evolutionary Stokes/Darcy problem is carried out. Stability and error estimates of a mass conservative multiple-time-step algorithm are provided under a time step restriction which depends on the physical parameters of the flow system and the ratio between the time steps applied in the free flow and porous medium domains. Numerical results are presented and the advantage of multirate time integration is demonstrated.


Porous Medium Free Flow Porous Medium Flow Time Step Restriction Couple Domain 
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This work was supported by the German Research Foundation (DFG) project RY 126/2-1.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Institute of Applied Analysis and Numerical SimulationUniversity of StuttgartStuttgartGermany

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