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dc.contributor.authorRanocha, Hendrik
dc.contributor.authorDalcin, Lisandro
dc.contributor.authorParsani, Matteo
dc.contributor.authorKetcheson, David I.
dc.date.accessioned2021-04-19T09:08:00Z
dc.date.available2021-04-19T09:08:00Z
dc.date.issued2021-04-14
dc.identifier.urihttp://hdl.handle.net/10754/668844
dc.description.abstractWe develop error-control based time integration algorithms for compressible fluid dynamics (CFD) applications and show that they are efficient and robust in both the accuracy-limited and stability-limited regime. Focusing on discontinuous spectral element semidiscretizations, we design new controllers for existing methods and for some new embedded Runge-Kutta pairs. We demonstrate the importance of choosing adequate controller parameters and provide a means to obtain these in practice. We compare a wide range of error-control-based methods, along with the common approach in which step size control is based on the Courant-Friedrichs-Lewy (CFL) number. The optimized methods give improved performance and naturally adopt a step size close to the maximum stable CFL number at loose tolerances, while additionally providing control of the temporal error at tighter tolerances. The numerical examples include challenging industrial CFD applications.
dc.description.sponsorshipResearch reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST). We are thankful for the computing resources of the Supercomputing Laboratory and the Extreme Computing Research Center at KAUST. Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC 2044-390685587, Mathematics Münster: Dynamics-Geometry-Structure. Special thanks are extended to the McLaren F1 racing Team for providing data, CAD geometries, and setup of the Imperial Front Wing test case.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2104.06836.pdf
dc.rightsArchived with thanks to arXiv
dc.titleOptimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
dc.typePreprint
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentExtreme Computing Research Center
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.eprint.versionPre-print
dc.identifier.arxivid2104.06836
kaust.personRanocha, Hendrik
kaust.personDalcin, Lisandro
kaust.personParsani, Matteo
kaust.personKetcheson, David I.
refterms.dateFOA2021-04-19T09:08:41Z
kaust.acknowledged.supportUnitExtreme Computing Research Center
kaust.acknowledged.supportUnitSupercomputing Laboratory


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