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Isogeometric Analysis and Applications 2018 PDF

pages279 Pages
release year2021
file size12.907 MB
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133 Harald van Brummelen · Cornelis Vuik Matthias Möller · Clemens Verhoosel Bernd Simeon · Bert Jüttler Editors Isogeometric Analysis and Applications Editorial Board T. J.Barth M.Griebel 2018 D.E.Keyes R.M.Nieminen D.Roose T.Schlick Lecture Notes 133 in Computational Science and Engineering Editors: TimothyJ.Barth MichaelGriebel DavidE.Keyes RistoM.Nieminen DirkRoose TamarSchlick Moreinformationaboutthisseriesathttp://www.springer.com/series/3527 Harald van Brummelen • Cornelis Vuik (cid:129) ¨ Matthias Moller (cid:129) Clemens Verhoosel (cid:129) ¨ Bernd Simeon (cid:129) Bert Juttler Editors Isogeometric Analysis and Applications 2018 Editors HaraldvanBrummelen CornelisVuik DepartmentofMechanicalEngineering DepartmentofAppliedMathematics EindhovenUniversityofTechnology DelftUniversityofTechnology Eindhoven,TheNetherlands Delft,TheNetherlands MatthiasMo¨ller ClemensVerhoosel DepartmentofAppliedMathematics DepartmentofMechanicalEngineering DelftUniversityofTechnology EindhovenUniversityofTechnology Delft,TheNetherlands Eindhoven,TheNetherlands BerndSimeon BertJu¨ttler FachbereichMathematik Institutfu¨rAngewandteGeometrie TechnischeUniversita¨tKaiserslautern JohannesKeplerUniversita¨tLinz Kaiserslautern,Germany Linz,Austria ISSN1439-7358 ISSN2197-7100 (eBook) LectureNotesinComputationalScienceandEngineering ISBN978-3-030-49835-1 ISBN978-3-030-49836-8 (eBook) https://doi.org/10.1007/978-3-030-49836-8 MathematicsSubjectClassification:65D05,65D07,65D17,65D32,65M38,65M50,65M55,65M60, 65N30,65N38,65N55 ©SpringerNatureSwitzerlandAG2021 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthors,andtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressedorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG. Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland v Participantsofthe3rdConferenceonIsogeometricAnalysisandApplications(IGAA2018)held April23rd–26th,2018inDelft,TheNetherlands Foreword This book contains a selection of papers emanating from the third workshop in the IGAA series, Isogeometric Analysis and Applications—IGAA 2018, held at the Science Centre Delft, on the campus of the Delft University of Technology (TUDelft),Monday,April23rdthroughThursday,April26th,2018inthehistoric and picturesque city of Delft, home of the father of microbiology, Antonie van Leeuwenhoek,1632–1723,thepeerlesspainterJohannesVermeer,1632–1675,and the beautiful blue and white Delft ceramic pottery. The program consisted of five plenarylecturesand45contributedpresentationsandapostersessionandreception at the conclusion of the first day’s presentations. The third day of the conference wasdesignatedIndustryDayandconcludedwithalivelypanelsessionentitledThe FutureofIGAinIndustry.ThiswasthefirstsessionofitskindatanIGAconference butcertainlywillnotbethelast.Weexpecteachsubsequentconferencedevotedto Isogeometric Analysis to adopt similar themes for sessions and panel discussions duetotheincreasedinterestintheuseofIGAinindustryandconcomitantlyamong theprovidersofcommercialsoftwaretools.Thesocialhighlightoftheconference wastheexcellentbanquetheldattheMichelin-starredrestaurantAandeZweth. TheplenarylecturesweregivenbyJosefKiendloftheNorwegianUniversityof ScienceandTechnology,KenjiTakadaoftheHondaMotorCompany,JessicaZhang ofCarnegieMellonUniversity,CarlottaGiannellioftheUniversityofFlorence,and the writer. After opening remarks, the technical sessions began with my plenary lectureinwhichIpresentedanoverviewoftheanalyticalattributesofIGAvis-á-vis classical finite element analysis (FEA) and some illustrations of the applicability to problems whose features are not amenable to solution by classical FEA. Josef Kiendlpresentedasummaryofhisresearchinthinshellstructuralanalysis,anarea that he pioneered and one in which IGA has created a renaissance. Kenji Takada described the uses of IGA at Honda Motor Company and showed the efficiency and accuracy benefits of IGA in real-world automotive engineering applications. Kenji amused the audience with the story of how he serendipitously began his study of IGA. Jessica Zhang described her extensive work on isogeometric model development and many recent industrial applications. Carlotta Giannelli presented vii viii Foreword her mathematical research in adaptive IGA schemes utilizing hierarchical splines, animportanttechnologyfortheefficientsolutionofpracticalproblems. The contributed presentations likewise spanned the very mathematical through the very applied, and everything in between, a hallmark of IGA. It seems there is something for everyone. However, what occurred at IGAA 2018 was a much greater focus on the industrial sector. This definitely appears to be a new thrust in IGAandwecanlookforwardtowardmuchgreaterinteractionwithindustryinthe future. It seems too that many industrial users are calling for the development of IGAmodelingtoolssothattheycanuseIGAsolutioncapabilitiesthatnowexistin commercially available FEA codes, such as LS-DYNA, and several companies in themeshandmodelgenerationareahavebeguntorespondtothisopportunity. Atthesametime,IGAresearchisstillagrowingandvibrantarea.Thesubject isrichwithpossibilitiesofnewdevelopments,evenbreakthroughs.Iampersonally always amazed when classical areas of analysis are addressed anew by IGA and fundamentallynewtechnologiesemergethatofferuniquecombinationsofaccuracy, ease of use, and efficiency. IGA also has the potential to open entirely new application areas, especially ones where smooth basis functions are desirable or evennecessary.TheuniqueconnectionsembodiedintheIGAthemebetweendesign and analysis provide a strong platform for future widespread adoption in industry andcommercialization. The papers in this volume could only sample some of the broad spectrum of topicspresentedatthemeeting.Nevertheless,theygiveanindicationofthebreadth ofthesubjectandprovideimportanttechnicaladvancementsinseveralareas.Like its predecessors in the IGAA workshop series, this proceedings volume is an importantcontributiontothegrowingscientificliteratureonIsogeometricAnalysis. Manythanksareduetotheorganizersoftheworkshopfortheirveryhardwork whichproducedameetingofthehighestscientificqualityandonethatwastrulya greatpleasuretoattend. Austin,TX,USA ThomasJ.R.Hughes June2019 Preface With 66 participants from 14 countries, the 3rd Conference on Isogeometric Analysis and Applications 2018 was a successful continuation of the IGAA conferenceseriesthatwasstartedin2012inLinz,Austriaandhaditssecondedition in2014inAnnweileramTrifels,Germany.IGAA2018hasbroughttogethersenior experts from academia and industry as well as young scientists standing at the beginningoftheircareertodiscussthecurrentstateoftheartinIGAanditspotential forcommercialapplicationinindustry.Thisbookcontainsaselectionof12papers addressing various aspects of IGA ranging from the mathematical analysis of approximation properties over thegeneration of analysis-suitable parametrizations and the efficient solution of linear systems of equations, to its use in practical applications. A conference like IGAA cannot be organized without external support. The organizerswouldliketothankthe4TUAppliedMathematicsInstitute(4TU.AMI), theTUDelftInstituteforComputationalScienceandEngineering(DCSE),theJ.M. Burgerscentrum, and the NWO Cluster Nonlinear Dynamics of Natural Systems (NDNS+) for generous financial support. Financial support from the European Commission through project MOTOR (GA no. 678727) is also greatly acknowl- edged.WefinallywouldliketoexpressourgratitudetoMrs.DeborahDongorand hercolleaguesfortakingcareofthelocalorganizationofthisevent. Eindhoven,TheNetherlands HaraldvanBrummelen Linz,Austria BertJüttler Delft,TheNetherlands MatthiasMöller Kaiserslautern,Germany BerndSimeon Eindhoven,TheNetherlands ClemensVerhoosel Delft,TheNetherlands CornelisVuik January2020 ix Contents GeneratingStar-ShapedBlocksforScaledBoundaryMultipatchIGA ... 1 BenjaminBauer,ClarissaArioli,andBerndSimeon Approximation Power of C1-Smooth Isogeometric Splines on VolumetricTwo-PatchDomains................................................ 27 KatharinaBirner,BertJüttler,andAngelosMantzaflaris A Novel Approach to Fluid-Structure Interaction Simulations InvolvingLargeTranslationandContact..................................... 39 DanielHilger,NorbertHosters,FabianKey,StefanieElgeti, andMarekBehr AnIGAFrameworkforPDE-BasedPlanarParameterizationon ConvexMultipatchDomains.................................................... 57 JochenHinz,MatthiasMöller,andCornelisVuik PreconditioningforLinearSystemsArisingfromIgADiscretized IncompressibleNavier–StokesEquations ..................................... 77 HanaHorníkováandCornelisVuik Solving2DHeatTransferProblemswiththeAid ofaBEM-IsogeometricSolver.................................................. 99 KonstantinosKostas,YeralyKalel,andAzatAmiralin IsogeometricMethodsforFreeBoundaryProblems......................... 131 M.Montardini,F.Remonato,andG.Sangalli ApproximatelyC1-SmoothIsogeometricFunctionsonTwo-Patch Domains........................................................................... 157 AgnesSeilerandBertJüttler PropertiesofSplineSpacesOverStructuredHierarchicalBox Partitions.......................................................................... 177 IvarStangebyandTorDokken xi

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