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

Roberto Croce (), Daniel Ruprecht () and Rolf Krause ()
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Roberto Croce: Institute of Computational Science
Daniel Ruprecht: Institute of Computational Science
Rolf Krause: Institute of Computational Science

A chapter in Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, 2014, pp 13-23 from Springer

Abstract: 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.

Keywords: Domain Decomposition; Spatial Parallelization; Total Speedup; Drive Cavity Flow; Distribute Memory Parallelization (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-09063-4_2

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DOI: 10.1007/978-3-319-09063-4_2

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