A Parallel Performance Study of the High-order Compact Direct Flux Reconstruction Method for Conservation Laws on Maya Cluster

dc.contributor.authorWang, Lai
dc.contributor.authorYu, Meilin
dc.contributor.authorGobbert, Matthias K.
dc.date.accessioned2018-09-13T19:52:16Z
dc.date.available2018-09-13T19:52:16Z
dc.date.issued2017
dc.description.abstractThe compact direct flux reconstruction method (CDFR) for conservation laws utilizes techniques from compact finite difference methods to directly approximate spatial derivatives of fluxes within standard elements. The CDFR scheme is a compact high-order method family which can be efficiently parallelized for high performance computing. In the present study, a parallel performance study of the 3rd-order CDFR scheme with a 3rd-order explicit Runge-Kutta scheme is conducted. The inviscid isentropic vortex propagation problem is adopted as a test case. The numerical performance studies have demonstrated that the CDFR method can efficiently solve conservation laws. The parallel performance study shows excellent observed speedup and efficiency. A comparison between different partition approaches of the mesh also demonstrates that optimized communication between processes can improve the parallel performance.en_US
dc.description.sponsorshipWang and Yu gratefully acknowledge the support of the Office of Naval Research through the award N00014–16–1–2735, and the faculty startup support from the department of mechanical engineering at University of Maryland, Baltimore County (UMBC). The hardware used in the computational studies is part of the UMBC High Performance Computing Facility (HPCF). The facility is supported by the U.S. National Science Foundation through the MRI program (grant nos. CNS–0821258 and CNS–1228778) and the SCREMS program (grant no. DMS–0821311), with additional substantial support from the University of Maryland, Baltimore County (UMBC). See hpcf.umbc.edu for more information on HPCF and the projects using its resources.en_US
dc.description.urihttps://userpages.umbc.edu/~gobbert/papers/LaiWangHPCF2017.pdfen_US
dc.format.extent11 pagesen_US
dc.genreTechnical Reporten_US
dc.identifierdoi:10.13016/M23775Z84
dc.identifier.urihttp://hdl.handle.net/11603/11299
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Mechanical Engineering Department
dc.relation.ispartofseriesHPCF Technical Report HPCF-2017-1
dc.rightsThis item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.
dc.subjectcompact direct flux reconstruction method (CDFR)en_US
dc.subjectUMBC High Performance Computing Facility (HPCF)en_US
dc.subjectconservation laws
dc.subjectcompact finite difference methods
dc.subjectapproximating spatial derivatives of fluxes
dc.subjectparallel performance study of the 3rd-order CDFR
dc.subject3rd-order explicit Runge-Kutta scheme
dc.subjectinviscid isentropic vortex propagation problem
dc.subjectcomparison between different partition approaches
dc.subjectoptimizing communication to improve the parallel performance.
dc.titleA Parallel Performance Study of the High-order Compact Direct Flux Reconstruction Method for Conservation Laws on Maya Clusteren_US
dc.typeTexten_US

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