An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/hpelement method and MPI virtual topologies.
A hybrid parallelisation technique for distributed memory systems is investigated for a coupled Fourier-spectral/hpelement discretisation of domains characterised by geometric homogeneity in one or more directions. The performance of the approach is mathematically modelled in terms of operation count and communication costs for identifying the most efficient parameter choices. The model is calibrated to target a specific hardware platform after which it is shown to accurately predict the performance in the hybrid regime. The method is applied to modelling turbulent flow using the incompressible Navier-Stokes equations in an axisymmetric pipe and square channel. The hybrid method extends the practical limitations of the discretisation, allowing greater parallelism and reduced wall times. Performance is shown to continue to scale when both parallelisation strategies are used.
Department of Aeronautics, Imperial College London, South Kensington Campus, London, UK.
A
A
Bolis
Department of Aeronautics, Imperial College London, South Kensington Campus, London, UK.
C D
CD
Cantwell
Department of Aeronautics, Imperial College London, South Kensington Campus, London, UK.
D
D
Moxey
Department of Aeronautics, Imperial College London, South Kensington Campus, London, UK.
D
D
Serson
Department of Aeronautics, Imperial College London, South Kensington Campus, London, UK.
S J
SJ
Sherwin
High-order methods; Incompressible flows; MPI parallelisation; Spectral/hp element method; Virtual topologies