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dc.contributor.authorFernandez, D. C. Del Rey
dc.contributor.authorCarpenter, M. H.
dc.contributor.authorDalcin, Lisandro
dc.contributor.authorFredrich, L.
dc.contributor.authorRojas, D.
dc.contributor.authorWinters, A. R.
dc.contributor.authorGassner, G. J.
dc.contributor.authorZampini, Stefano
dc.contributor.authorParsani, Matteo
dc.date.accessioned2019-09-30T08:00:31Z
dc.date.available2019-09-30T08:00:31Z
dc.date.issued2019-09-27
dc.identifier.urihttp://hdl.handle.net/10754/656803
dc.description.abstractThe entropy conservative/stable algorithm of Friedrich etal (2018) for hyperbolic conservation laws on nonconforming p-refined/coarsened Cartesian grids, is extended to curvilinear grids for the compressible Euler equations. The primary focus is on constructing appropriate coupling procedures across the curvilinear nonconforming interfaces. A simple and flexible approach is proposed that uses interpolation operators from one element to the other. On the element faces, the analytic metrics are used to construct coupling terms,while metric terms in the volume are approximated to satisfy a discretization of the geometric conservation laws. The resulting scheme is entropy conservative/stable, elementwise conservative, and freestream preserving. The accuracy and stability properties of the resulting numerical algorithm are shown to be comparable to those of the original conforming scheme (~p+1 convergence) in the context of the isentropic Euler vortex and the inviscid Taylor-Green vortex problems on manufactured high order grids.
dc.description.sponsorshipSpecial thanks are extended to Dr. Mujeeb R. Malik for partially funding this work as part of NASA’s “Transformational Tools and Technologies” (T3) project. The research reported in this publication was also supported by funding from 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. Gregor Gassner and Lucas Friedrich has been supported by the European Research Council (ERC) under the European Unions Eights Framework Program Horizon 2020 with the research project Extreme, ERC grant agreement no. 714487.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/1909.12536
dc.subjectnonconforming interfaces
dc.subjectnonlinear entropy stability
dc.subjectsummation-by-parts operators
dc.subjectsimultaneous-approximation-terms
dc.subjecthigh-order accurate discretizations
dc.subjectcurved elements
dc.subjectunstructured grid
dc.titleEntropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations
dc.typePreprint
dc.contributor.departmentExtreme Computing Research Center
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.eprint.versionPre-print
dc.contributor.institutionNational Institute of Aerospace and Computational AeroSciences Branch, NASA Langley Research Center, Hampton, VA, United States
dc.contributor.institutionComputational AeroSciences Branch, NASA Langley Research Center, Hampton, VA, United States
dc.contributor.institutionMathematical Institute, University of Cologne, North Rhine-Westphalia, Germany
dc.contributor.institutionDepartment of Mathematics (MAI), Linkoping University, Sweden
dc.identifier.arxividarXiv:1909.12536
kaust.personDalcin, Lisandro
kaust.personRojas, D.
kaust.personZampini, Stefano
kaust.personParsani, Matteo
refterms.dateFOA2019-09-30T08:00:32Z
kaust.acknowledged.supportUnitExtreme Computing Research Center
kaust.acknowledged.supportUnitSupercomputing Laboratory


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