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

Roberto Croce, Daniel Ruprecht, Rolf Krause
2014 Modeling, Simulation and Optimization of Complex Processes - HPSC 2012  
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
more » ... n 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.
doi:10.1007/978-3-319-09063-4_2 dblp:conf/hpsc/CroceRK12 fatcat:bpc4mzlhijdepgamq7y5svcrc4