IsogeometricAnalysisinIndustrialTurbomachineryApplicationsJointMSc-projectby
MotivationIsogeometricAnalysis(IgA)isarecentmethodologyforthecomputationalstudyofalltypesofengi-neeringproblems. Ithasbeenintroducedin[Hu05]asauniversalframeworkthataimsatbridgingthegapbetweengeometrymodelling inComputer-AidedDesign(CAD)systemsandfiniteelementanalysis(FEA)offluidflow,structuralmechanicsandfluid-structureinteractionproblems.Theessen-tialkeytechnologythatbringsthetwoworlds,CADandFEA,closertogetheristhecommonuseofadvanced Spline technologies to model complex geometries like the Turing-Mid-Turbine-Frame(TMTF),which is a performance-critical part ofmostmodern aircraft engines (shown left),and torepresentapproximatesolutionsto,say,acomputationalfluid-flowanalysis(shownright).
Asamajorbenefit,thereisnomoreneedofanirreversibleapproximateconversionoftheaccurategeometryparameterizationintoadiscretecomputationalgrid,whichallowsformuchmoreeffectiveshapeoptimizationprocessesastheyareneededinindustrialturbomachineryapplications.
MTUAeroEngineslocatedinMunich,Germany,isoneoftheworld’sleadingaircraftenginemanu-facturersandservicesprovideswithstate-of-the-artin-housedevelopmentworkflows.Intheongo-ingEU-fundedMOTORproject,MTUhasaddednoveladaptiveSplinetechnologiesintotheirwork-flow,which givesmuchmore flexibility in designing the shape of the TMTF flow passage (shownright),whichinturnenablesthedesignofmoreenergy-efficientaircrafteengines.
ProblemdescriptionandchallengesThetaskofthismasterthesisistoparticipateinthejointdevelopmentofanIgA-solverforcompressibleviscousflowsandadvanceittoamaturitylevelthatenablesitsuseinindustrialturbomachineryapplica-tions.Asastartingpoint,aninviscidcompressibleflowsolverisavailablefromtheaforementionedMO-TORproject,withactivedevelopmenttakingplaceatTUDelftandLodzUniversityofTechnology,Poland.
Themaintasksofthismasterthesisareasfollows:
1. Familiarizationwith theconceptof isogeometricanalysisboth forgeometrymodellingandnu-mericalfluid-flowanalysisandacquirementofbasicknowledgeingasdynamics.
2. DevelopmentofperiodicboundaryconditionsintotheIgAflowsolverandperformanceofpre-liminary3DstudiesofcompressibleflowsthroughMTU’sdemonstratorTMTFflowpassage.
3. Extensionofthe3DNavier-StokesIgA-solvertoarotatingframeofreference,whichisrequiredtomodeltheflowbehaviorinrotatingenginepartsupstreamanddownstreamthestaticTMTF.
4. CouplingofthestaticNavier-StokesIgA-solverwithitsrotatingcounterpartandperformanceofpreliminary3DstudiesofcompressibleflowsthroughMTU’sdemonstratorTMTFflowpassage.
Possibleadditionaltask:
5. TheutilizedsoftwarelibraryG+Smo[GS]providesstate-of-the-arttechnologiesforgeneratinglo-callyrefinedB-splinesbases,so-calledtruncatedhierarchicalB-Splines(THB-Splines)[Gi12].Up-onsuccessfulcompletionof theaforementionedmain tasks, theuseofTHB-Splinescanbeex-ploitedtoimprovethegeometryandsolutionrepresentationbyrefiningtheSplinespacelocally.
Themainchallengesofthisambitiousmasterprojectconsistinthebleeding-edgenatureoftheutilizedtechnologiesbeingunderactivedevelopmentandthenecessarymaturity levelof the IgA-solver that isrequiredforbeingabletosolvechallengingindustrialturbomachineryapplicationsofthistype.
TimescheduleTheprojectiscarriedoutinstrongcollaborationwithMTUAeroEngines,Germany.Thestudentisexpectedtostaypartoftheprojecttime(rangingfrom2weeksto3months)atMTUinMunich.
ContactFormoreinformationaboutthisMSc-projectcontactDr.MatthiasMöller([email protected])orDr.DavidGrossmann([email protected]).
Literature[Gi12] C. Giannelli, B. Jüttler, H. Speleers. THB-Splines: The truncated basis for hierarchical
splines.ComputerAidedGeometricDesign29(7),pp.485-498,2012.
[GS] G+Smo(Geometry+SimulationModules).https://www.gs.jku.at/gismo.
[Hu05] T.J.R.Hughes,J.A.Cottrell,andY.Bazilevs.Isogeometricanalysis:CAD,finiteelements,NURBS,exactgeometryandmeshrefinement.ComputerMethodsinAppliedMechan-icsandEngineering194,pp.4135-4195,2005.
Recommended
