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MPI/Open-MP hybridization of higher order WENO scheme for the incompressible Navier-Stokes equations
Selvam, Mukundhan Hoffmann, Klaus A.
Selvam, Mukundhan
Hoffmann, Klaus A.
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2015-01
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Conference paper
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Navier-Stokes equations,hybridization of Message Passing Interface (MPI),Open Multi-Processing (Open-MP),Weighted Essentially Non-Oscillatory (WENO) scheme,Research Subject Categories::TECHNOLOGY::Electrical engineering, electronics and photonics::Electrical engineering
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Mukundhan Selvam and Klaus A. Hoffmann. "MPI/Open-MP Hybridization of Higher Order WENO Scheme for the Incompressible Navier-Stokes Equations", AIAA Infotech @ Aerospace, AIAA SciTech, (AIAA 2015-1951). http://dx.doi.org/10.2514/6.2015-1951
Abstract
With the contemporary emerging transition for the past two decades in high
performance computing (HPC) towards clusters of nodes, it is possible to obtain an
efficiently scalable CFD code by hybridization of Message Passing Interface (MPI) and Open
Multi-Processing (Open-MP). The parallelization of an incompressible higher order DNS
solver using Navier-Stokes equations utilizing WENO (weighted Essentially Non-Oscillatory)
scheme is presented in this paper. Initially, a time dependent two dimensional diffusion
equation was parallelized by MPI in an effort to explore the concepts. Subsequently, the
procedure is extended with several advanced MPI routines for the parallelization of higher
order finite-difference schemes. The parallelized code is subsequently examined on a
benchmark problem for incompressible flows – lid driven cavity. The results of the
developed code were compared and validated with the serial model. The overall objective is
to achieve the best performance of the incompressible Navier-Stokes solver by carefully
implementing, profiling and optimizing both MPI communications and Open-MP
parallelization. The results demonstrate that, incorporating Open-MP parallelization
technique contributes a slight advantage in performance relative to pure MPI
implementation. MPI processes are limited by the number of communicators and grid size of
the simulation. However, fine grain parallelization is possible by incorporating Open-MP
threads in certain segments of the code.
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Copyright by authors. Posted on SOAR with author permission.
Publisher
American Institute of Aeronautics and Astronautics
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AIAA Infotech @ Aerospace;