Parallel efficiency of a boundary integral equation method for nonlinear water waves

  • P. Strating
  • P. C. A. De Haas
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1225)


We describe the application of domain decomposition on a boundary integral method for the study of nonlinear surface waves on water in a test case for which the domain decomposition approach is an important tool to reduce the computational effort. An important aspect is the determination of the optimum number of domains for a given parallel architecture. Previous work on heterogeneous clusters of workstations is extended to (dedicated) parallel platforms. For these systems a better indication of the parallel performance of the domain decomposition method is obtained because of the absence of varying speed of the processing elements.


water waves domain decomposition boundary integral equation method 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    E.C. Bowers, Harbour resonance due to set-down beneath wave groups. J. Fluid Mech. 79 (1), 1977, pp. 71–92.Google Scholar
  2. [2]
    M.W. Dingemans, H.A.H. Petit, Th.J.G.P. Meijer and J.K. Kostense, Numerical evaluation of the third-order evolution equations for weakly nonlinear water waves propagating over uneven bottoms, in Computer Modelling in Ocean Engineering 91, Barcelona, 1991, pp. 361–370.Google Scholar
  3. [3]
    P.C.A. De Haas, M.W. Dingemans and G. Klopman, Simulation of propagating nonlinear wave groups, to appear in Proc. 25th Int. Conf. on Coast. Eng., Orlando, 1997.Google Scholar
  4. [4]
    J. Broeze, E.F.G. Van Daalen and P.J. Zandbergen, A three-dimensional panel method for nonlinear free surface waves on vector computers, Comp. Mech. 13, 1993, pp. 12–28.Google Scholar
  5. [5]
    P.C.A. De Haas and P.J. Zandbergen, The application of domain decomposition to time-domain computations of nonlinear water waves with a panel method, J. Comp. Phys. 129 No. 2, 1996, pp. 332–344.Google Scholar
  6. [6]
    P. Le Tallec, Domain decomposition methods in computational mechanics, Comp. Mech. Adv. 1, 1994, pp. 121–220.Google Scholar
  7. [7]
    P.C.A. De Haas, J. Broeze and P.J. Zandbergen, Proc. 15th Int. Conf. on Numerical Methods in Fluid Dynamics, Monterey, 1996.Google Scholar
  8. [8]
    P.C.A. De Haas, J. Broeze and M. Streng, Domain decomposition and parallel computing in a numerical method for nonlinear water waves, Proc. of theGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  1. 1.Faculty of Applied MathematicsUniversity of TwenteAE EnschedeThe Netherlands
  2. 2.Delft HydraulicsMH DelftThe Netherlands

Personalised recommendations