A dynamically load-balanced parallel p-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation

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dc.contributor.authorWang, Lai
dc.contributor.authorGobbert, Matthias K.
dc.contributor.authorYu, Meilin
dc.date.accessioned2020-03-23T15:44:09Z
dc.date.available2020-03-23T15:44:09Z
dc.date.issued2019-10-08
dc.description.abstractWe present a dynamically load-balanced parallel p-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation. The high-order explicit first stage, singly diagonal implicit Runge-Kutta (ESDIRK) method is employed to circumvent the restriction on the time step size. The pseudo transient continuation is coupled with the matrix-free restarted generalized minimal residual (GMRES) method to solve the nonlinear equations at each stage, except the first one, of ESDIRK. We use the spectral decay smoothness indicator as the refinement/coarsening indicator for p-adaptation. A dynamic load balancing technique is developed with the aid of the open-source library ParMETIS. The trivial cost, compared to implicit time stepping, of mesh repartitioning and data redistribution enables us to conduct p-adaptation and load balancing every time step. An isentropic vortex propagation case is employed to study the impact of element weights used in mesh repartitioning on parallel efficiency. We apply the p-adaptive solver for implicit large eddy simulation (ILES) of the transitional flows over a cylinder when Reynolds number (Re) is 3900 and the SD7003 wing when Re is 60000. Numerical experiments demonstrate that a significant reduction in the run time (up to 70%) and total number of solution points (up to 76%) can be achieved with p-adaptation.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 the 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, CNS-1228778, and OAC-1726023) and the SCREMS program (grant no. DMS-0821311), with additional substantial support from UMBC.en_US
dc.description.urihttps://arxiv.org/abs/1910.03693en_US
dc.format.extent36 pagesen_US
dc.genrejournal articles preprintsen_US
dc.identifierdoi:10.13016/m2mwzf-jzrt
dc.identifier.citationWang, Lai; Gobbert, Matthias K.; Yu, Meilin; A dynamically load-balanced parallel p-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation; Computational Physics (2019); https://arxiv.org/abs/1910.03693en_US
dc.identifier.urihttp://hdl.handle.net/11603/17566
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mechanical Engineering Department Collection
dc.relation.ispartofUMBC Mathematics and Statistics Department
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectdynamic load balancingen_US
dc.subjectdynamic p-adaptationen_US
dc.subjectimplicit large eddy simulationen_US
dc.subjectimplicit high-order flux reconstructionen_US
dc.subjectmatrix-free GMRESen_US
dc.subjectUMBC High Performance Computing Facility (HPCF)
dc.titleA dynamically load-balanced parallel p-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulationen_US
dc.typeTexten_US

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