Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018: Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018

637 Pages·2020·20.479 MB·English

by  Spencer J. Sherwin, David Moxey, Joaquim Peiró, Peter E. Vincent, Christoph Schwab

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
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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