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Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow

In: Modeling, Simulation and Optimization of Complex Processes - HPSC 2012

Author

Listed:
  • Roberto Croce

    (Institute of Computational Science)

  • Daniel Ruprecht

    (Institute of Computational Science)

  • Rolf Krause

    (Institute of Computational Science)

Abstract

In this paper we combine the Parareal parallel-in-time method together with spatial parallelization and investigate this space-time parallel scheme by means of solving the three-dimensional incompressible Navier-Stokes equations. Parallelization of time stepping provides a new direction of parallelization and allows to employ additional cores to further speed up simulations after spatial parallelization has saturated. We report on numerical experiments performed on a Cray XE6, simulating a driven cavity flow with and without obstacles. Distributed memory parallelization is used in both space and time, featuring up to 2,048 cores in total. It is confirmed that the space-time-parallel method can provide speedup beyond the saturation of the spatial parallelization.

Suggested Citation

  • Roberto Croce & Daniel Ruprecht & Rolf Krause, 2014. "Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow," Springer Books, in: Hans Georg Bock & Xuan Phu Hoang & Rolf Rannacher & Johannes P. Schlöder (ed.), Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, edition 127, pages 13-23, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-09063-4_2
    DOI: 10.1007/978-3-319-09063-4_2
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