Advertisement

Numerical Results

  • Ulrich Wilbrandt
Chapter
Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Abstract

The algorithms described in Chap.  7 are implemented in the C++ finite element code ParMooN (Wilbrandt et al., Comput Math Appl 74(1):74–88, 2017). In this chapter several examples from the literature are introduced and numerical results shown. To begin with, a more general discussion on numerical examples is given.

References

  1. [CGHW11]
    Wenbin Chen, Max Gunzburger, Fei Hua, and Xiaoming Wang. A parallel robin-robin domain decomposition method for the Stokes-Darcy system. SIAM J. Numerical Analysis, 49(3):1064–1084, 2011.MathSciNetCrossRefGoogle Scholar
  2. [CJW14]
    Alfonso Caiazzo, Volker John, and Ulrich Wilbrandt. On classical iterative subdomain methods for the Stokes-Darcy problem. Comput. Geosci., 18(5):711–728, 2014.MathSciNetCrossRefGoogle Scholar
  3. [CW07a]
    M.B. Cardenas and J.L. Wilson. Dunes, turbulent eddies, and interfacial exchange with permeable sediments. Water Resour. Res., 43:08412, 2007.Google Scholar
  4. [CW07b]
    M.B. Cardenas and J.L. Wilson. Hydrodynamics of coupled flow above and below a sediment–water interface with triangular bedforms. Adv. Water Resour., 30:301–313, 2007.CrossRefGoogle Scholar
  5. [DQ09]
    M. Discacciati and A. Quarteroni. Navier-Stokes/Darcy coupling: modeling, analysis and numerical approximation. Revista Matematica Complutense, 22(2):315–426, 2009.MathSciNetzbMATHGoogle Scholar
  6. [DQV07]
    Marco Discacciati, Alfio Quarteroni, and Alberto Valli. Robin-Robin domain decomposition methods for the Stokes-Darcy coupling. SIAM J. Numer. Anal., 45(3):1246–1268, 2007.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Ulrich Wilbrandt
    • 1
  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany

Personalised recommendations