Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018: Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018 PDF
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134 Spencer J. Sherwin · David Moxey Joaquim Peiró · Peter E. Vincent Christoph Schwab Editors Spectral and High Order Methods for Partial Diff erential Equations Editorial Board T. J.Barth ICOSAHOM 2018 M.Griebel D.E.Keyes R.M.Nieminen D.Roose T.Schlick Lecture Notes in Computational Science 134 and Engineering Editors: TimothyJ.Barth MichaelGriebel DavidE.Keyes RistoM.Nieminen DirkRoose TamarSchlick Moreinformationaboutthisseriesathttp://www.springer.com/series/3527 Spencer J. Sherwin • David Moxey (cid:129) Joaquim Peiró (cid:129) PeterE.Vincent (cid:129) Christoph Schwab Editors Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 Selected Papers from the ICOSAHOM Conference, London, UK, July 9–13, 2018 Editors SpencerJ.Sherwin DavidMoxey DepartmentofAeronautics CollegeofEngineering,Mathematics& ImperialCollege PhysicalSciences London,UK UniversityofExeter Exeter,UK JoaquimPeiró PeterE.Vincent DepartmentofAeronautics DepartmentofAeronautics ImperialCollege ImperialCollege London,UK London,UK ChristophSchwab DepartmentofMathematics ETHZürich Zürich,Switzerland ISSN1439-7358 ISSN2197-7100 (electronic) LectureNotesinComputationalScienceandEngineering ISBN978-3-030-39646-6 ISBN978-3-030-39647-3 (eBook) https://doi.org/10.1007/978-3-030-39647-3 MathematicsSubjectClassification:65M70,65N35,65N30,74S25,76M10,76M22,78M10,78M22 Thisbookisanopenaccesspublication. ©TheEditor(s)(ifapplicable)andTheAuthor(s)2020 Open Access This bookis licensed under the terms of the Creative Commons Attribution 4.0Inter- nationalLicense(http://creativecommons.org/licenses/by/4.0/), whichpermitsuse,sharing,adaptation, distribution andreproduction inanymediumorformat,aslong asyougive appropriate credit tothe originalauthor(s)andthesource,providealinktotheCreativeCommonslicenceandindicateifchanges weremade. 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Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface This volume presents selected papers from the twelfth International Conference on Spectraland High-OrderMethods(ICOSAHOM’18)that was held in London, UnitedKingdom,duringtheweekofJuly9–13th,2018.Theseselectedpaperswere refereedbymembersofthescientificcommitteeofICOSAHOM,aswellasbyother leadingscientists. ThefirstICOSAHOMconferencewasheldinComo,Italy,in1989andmarked the beginningof an internationalconferenceseries in Montpellier, France (1992); Houston, TX, USA (1995); Tel Aviv, Israel (1998); Uppsala, Sweden (2001); Providence, RI, USA (2004); Beijing, China (2007);Trondheim, Norway (2009); Gammarth,Tunisia(2012);SaltLakeCity,USA(2014);andRiodeJaneiro,Brazil (2016). ICOSAHOM has established itself as the main meeting place for researchers with interests in the theoretical, applied, and computational aspects of high-order methodsforthenumericalsolutionofpartialdifferentialequations. With over 360 attendees, ICOSAHOM ’18 has been the largest edition of the conference series to date. The program consisted of eight invited speakers across the week from internationally renowned researchers, alongside 40 minisymposia (ofaround300presentations)dedicatedtospecializedtopicsinhigh-ordermethods, andapproximatelyafurther90contributedtalks. The content of these proceedings is organized as follows. First, contributions from the invited speakers are included. The remainder of the volume consists of refereed selected papers highlighting the broad spectrum of topics presented at ICOSAHOM’18. The success of ICOSAHOM ’18 was ensured through generous contributions and financialsupportof our sponsors: the Air Force Office of Scientific Research (AFSOR); the Platform for Research in Simulation Methods (PRISM) platform grant,fundedbytheEngineeringandPhysicalSciencesResearchCouncil(EPSRC); Rolls-Royce Ltd.;and, finally, the Departmentof Aeronauticsat ImperialCollege London. We would like to give special thanks to our local organizing committee for their efforts in organizing and promoting the event. In particular, we would also v vi Preface like tothankMr. AndreaCassinelli forhisorganizationaleffortsleadingupto the conference,aswellastheadministrativestaffoftheDepartmentofAeronauticsat ImperialCollegeLondonfortheirhelpincoordinatingthelogisticsoftheevent.We alsothankthemanystudenthelpersfortheiradvice,help,andsupportgiventothe delegatesduringthe eventitself, whoall contributedto the smoothrunningof the event. London,UK SpencerJ.Sherwin Exeter,UK DavidMoxey London,UK JoaquimPeiró London,UK PeterE.Vincent Zürich,Switzerland ChristophSchwab Contents PartI InvitedPapers StabilityofWallBoundaryConditionProceduresforDiscontinuous GalerkinSpectralElementApproximationsoftheCompressible EulerEquations.................................................................. 3 FlorianJ.Hindenlang,GregorJ.Gassner,andDavidA.Kopriva On the Order Reduction of Entropy Stable DGSEM for the CompressibleEulerEquations ................................................. 21 FlorianJ.HindenlangandGregorJ.Gassner AReviewofRegularDecompositionsofVectorFields:Continuous, Discrete,andStructure-Preserving ............................................ 45 RalfHiptmairandClemensPechstein Model Reduction by Separationof Variables: A Comparison BetweenHierarchicalModelReductionandProperGeneralized Decomposition.................................................................... 61 SimonaPerotto,MicheleGiulianoCarlino,andFrancescoBallarin RecurrenceRelationsfora FamilyofOrthogonalPolynomials onaTriangle...................................................................... 79 SheehanOlver,AlexTownsend,andGeoffreyM.Vasil PartII ContributedPapers GreedyKernelMethodsforCenterManifoldApproximation.............. 95 Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, andDominikWittwar AnAdaptiveErrorInhibitingBlockOne-StepMethodforOrdinary DifferentialEquations........................................................... 107 JiaxiGuandJae-HunJung vii viii Contents HermiteMethodsinTime....................................................... 119 RujieGuandThomasHagstrom HPSAcceleratedSpectralSolversforTimeDependentProblems: PartII,NumericalExperiments................................................ 131 TracyBabb,Per-GunnarMartinsson,andDanielAppelö OntheUseofHermiteFunctionsfortheVlasov–PoissonSystem.......... 143 LorellaFatone,DanieleFunaro,andGianmarcoManzini HPSAcceleratedSpectralSolversforTimeDependentProblems: PartI,Algorithms................................................................ 155 TracyBabb,Per-GunnarMartinsson,andDanielAppelö High-OrderFinite Element Methods for Interface Problems: TheoryandImplementations................................................... 167 YuanmingXiao,FangmanZhai,LinboZhang,andWeiyingZheng StabilisedHybridDiscontinuousGalerkinMethodsfortheStokes ProblemwithNon-standardBoundaryConditions.......................... 179 GabrielR.Barrenechea,MichałBosy,andVictoritaDolean RBFBasedCWENOMethod................................................... 191 JanS.Hesthaven,FabianMönkeberg,andSaraZaninelli Discrete Equivalence of Adjoint Neumann–Dirichlet div-grad andgrad-divEquationsinCurvilinear3DDomains......................... 203 YiZhang,VarunJain,ArturPalha,andMarcGerritsma AConservativeHybridMethodforDarcyFlow.............................. 215 VarunJain,JoëlFisser,ArturPalha,andMarcGerritsma High-Order Mesh Generation Based on Optimal Affine CombinationsofNodalPositions............................................... 229 MikeSteesandSuzanneM.Shontz Sparse Spectral-Element Methods for the Helically Reduced EinsteinEquations............................................................... 239 StephenR.Lau SpectralAnalysisofIsogeometricDiscretizationsof2DCurl-Div ProblemswithGeneralGeometry.............................................. 251 MariarosaMazza,CarlaManni,andHendrikSpeleers PerformanceofPreconditionersforLarge-ScaleSimulationsUsing Nek5000........................................................................... 263 N.Offermans,A.Peplinski,O.Marin,E.Merzari,andP.Schlatter TwoDecadesOldEntropyStableMethodfortheEulerEquations Revisited........................................................................... 273 BjörnSjögreenandH.C.Yee Contents ix AMimeticSpectralElementMethodforFreeSurfaceFlows .............. 285 L.NielsenandB.Gervang Spectral/hpMethodologyStudyforiLES-SVVonanAhmedBody ....... 297 Filipe F. Buscariolo, Spencer J. Sherwin, Gustavo R. S. Assi, andJulioR.Meneghini AHigh-OrderDiscontinuousGalerkinSolverforMultiphaseFlows...... 313 Juan Manzanero,Carlos Redondo,GonzaloRubio, Esteban Ferrer, EusebioValero,SusanaGómez-Álvarez,andÁngelRivero-Jiménez High-OrderPropagationofJetNoiseonaTetrahedralMeshUsing LargeEddySimulationSources................................................ 325 M.A.Moratilla-Vega,V.Saini,H.Xia,andG.J.Page DynamicalDegreeAdaptivityforDG-LESModels.......................... 337 M.Tugnoli,A.Abbà,andL.Bonaventura A Novel Eighth-Order Diffusive Scheme for Unstructured PolyhedralGridsUsingtheWeightedLeast-SquaresMethod.............. 349 DuarteM.S.Albuquerque,ArturG.R.Vasconcelos,andJoseC.F.Pereira AnExplicitMappedTentPitchingSchemeforMaxwellEquations........ 359 Jay Gopalakrishnan, Matthias Hochsteger, Joachim Schöberl, andChristophWintersteiger ViscousDiffusionEffectsintheEigenanalysisof(Hybridisable)DG Methods ........................................................................... 371 Rodrigo C. Moura, Pablo Fernandez, Gianmarco Mengaldo, andSpencerJ.Sherwin SpectralGalerkinMethodforSolvingHelmholtzandLaplace DirichletProblemsonMultipleOpenArcs ................................... 383 CarlosJerez-HanckesandJoséPinto ExplicitPolynomialTrefftz-DGMethodforSpace-Time Elasto-Acoustics.................................................................. 395 H.Barucq,H.Calandra,J.Diaz,andE.Shishenina Anhp-AdaptiveIterativeLinearizationDiscontinuous-Galerkin FEMforQuasilinearEllipticBoundaryValueProblems.................... 407 PaulHoustonandThomasP.Wihler ErosionWearEvaluationUsingNektar++................................... 419 ManuelF.Mejía,DouglasSerson,RodrigoC.Moura,BrunoS.Carmo, JorgeEscobar-Vargas,andAndrésGonzález-Mancera AnInexactPetrov-GalerkinApproximationforGasTransport inPipelineNetworks............................................................. 429 HerbertEgger,ThomasKugler,andVsevolodShashkov
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