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The application of parallel computations technique to the solution of certain hydrodynamic stability problems

  • M. V. Khenner
  • D. V. Lyubimov
  • B. Roux
  • S. V. Shklyaev
Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1277)

Abstract

Parallel implementation of the well known method of reduction of Boundary Values Problem (BVP) for ODES to Initial Values Problem (IVP) with subsequent straightforward integration is discussed. As an example, the solution is obtained for a 2D linear stability problem with two superimposed viscous fluid layers in a plane horizontal cavity subjected to horizontal periodic vibrations. Estimations for the speedup are provided, proven high potential of parallel implementations for the numeric solution of complex hydrodynamic stability problems.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • M. V. Khenner
    • 1
  • D. V. Lyubimov
    • 1
  • B. Roux
    • 2
  • S. V. Shklyaev
    • 1
  1. 1.Theoretical Physics Dept.Perm State UniversityPermRussia
  2. 2.IRPHEMarseilleFrance

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