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

Preprint, Other ORP type English OPEN
Croce, Roberto ; Ruprecht, Daniel ; Krause, Rolf (2017)
  • Publisher: Springer International Publishing
  • Related identifiers: doi: 10.1007/978-3-319-09063-4_2
  • Subject: Computer Science - Computational Engineering, Finance, and Science | Mathematics - Numerical Analysis

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.
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