版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领
文档简介
Chapter4
BoundaryConditionsIntroductoryFLUENTTraining.Chapter4
BoundaryConditionsDefiningBoundaryConditionsTodefineaproblemthatresultsinauniquesolution,youmustspecifyinformationontheflowvariablesatboundaries.Specifyfluxesofmass,momentum,energy,othedomain.Definingboundaryconditionsinvolves:IdentifyingtheboundarylocationsSupplyinginformationattheboundariesThedatarequiredataboundarydependsupontheboundaryconditiontypeandthephysicalmodelsemployed.YoumustbeawareoftheinformationthatisrequiredoftheboundaryconditionandlocatetheboundarieswheretheinformationontheflowvariablesareknownorcanbereasonablyapproximatedPoorlydefinedboundaryconditionscanhaveasignificantimpactonyoursolution.DefiningBoundaryConditionsToCellZones–FluidAfluidcellzoneisagroupofcellsforwhichallactiveequationsaresolved.Fluidmaterialselectionisrequired.Formultiplespeciesormultiphase
flows,thematerialisnotshown.
Instead,thefluidzoneconsistsofthe
mixtureofthephases.OptionalinputsPorousregionSourcetermsLaminarregionFixedValuesRadiation.CellZones–FluidAfluidcellPorousMediaAporouszoneisaspecialtypeoffluidzone.EnablePorousZoneoptionintheFluidpanel.Pressurelossinflowdeterminedviauserinputs
ofresistancecoefficientstolumpedparameter
modelUsedtomodelflowthroughporous
mediaandotheruniformlydistributed
flowresistances.PackedbedsFilterpapersPerforatedplatesFlowdistributorsTubebanksInputsaredirectionalviscousand
inertialresistancecoefficients..PorousMediaAporouszoneisaCellZones–SolidAsolidzoneisagroupofcellsforwhichonlyheatconductionproblemsolved.Flowequationsarenotsolved.Onlyrequiredinputisthematerialname(definedintheMaterialspanel).Optionalinputsallowyoutoset
volumetricheatgenerationrate
(heatsource).Needtospecifyrotationaxisif
rotationallyperiodicboundaries
adjacenttosolidzone.Candefinemotionforasolidzone.CellZones–SolidAsolidzoneFuelAirCombustorWallManifoldbox1NozzleLocatingBoundaries–AnExampleThreepossibleapproachesinlocatinginletboundariesforthisexample:UpstreamofmanifoldCanuseuniformprofile.Properlyaccountsformixing.Non-premixedreactionmodelsRequiresmorecells.NozzleinletplaneNon-premixedreaction
models.Requiresaccurateinlet
profile.Flowisstillnon-premixed.3NozzleoutletplanePremixedreactionmodel.Requiresaccurateprofile.Notgenerallyrecommendedsince
inletBCsmaydrivetheinteriorsolution.123.FuelAirCombustorWallManifoldGeneralGuidelinesIfpossible,selectboundarylocationandshapesuchthatfloweithergoesinorout.Notnecessary,butwilltypicallyobservebetterconvergence.Shouldnotobservelargegradientsindirectionnormaltoboundary.Indicatesincorrectset-up.Minimizemeshskewnessneartheboundary.Otherwiseitwouldintroduceerrorearlyincalculation.21Upperpressureboundarymodifiedtoensurethatflowalwaysentersdomain..GeneralGuidelinesIfpossible,AvailableBoundaryConditionTypesExternalBoundariesGeneralPressureInletPressureOutletIncompressibleVelocityInletOutflow(notrecommended)CompressibleMassFlowInletPressureFarFieldOtherWallSymmetryAxisPeriodicSpecialInlet/OutletVentIntake/ExhaustFanInternalBoundariesFanInteriorPorousJumpRadiatorWallCell(Continuum)zonesFluidSolidPorousmediaorificeoutletinletplate
plate-shadowwall.AvailableBoundaryConditionTChangingBoundaryConditionTypesZonesandzonetypesareinitiallydefinedinthepreprocessingphase.Tochangetheboundaryconditiontypeforazone:ChoosethezonenameintheZonelist.SelectthetypeyouwishtochangeittointheTypepull-downlist..ChangingBoundaryConditionTySettingBoundaryConditionDataExplicitlyassigndatainBCpanels.Tosetboundaryconditionsforparticularzone:SelectBoundaryConditionsintheprojecttree.ChoosetheboundarynameintheZonelist.ClicktheEdit…button.Boundaryconditiondatacanbecopiedfromonezonetoanother.BoundaryconditionscanalsobedefinedbyUDFsandprofiles.Profilescanbegeneratedby:WritingaprofilefromanotherCFDsimulationCreatinganappropriatelyformattedtextfile
withboundaryconditiondata..SettingBoundaryConditionDatVelocityInletVelocitySpecificationMethodMagnitude,NormaltoBoundaryComponentsMagnitudeandDirectionAppliesauniformvelocityprofile
attheboundary,unlessUDFor
profileisused.Velocityinletsareintendedfor
useinincompressibleflowsand
arenotrecommendedforcompressibleflows.VelocityMagnitudeinputcanbenegative,implyingthatyoucanprescribetheexitvelocity..VelocityInletVelocitySpecifiPressureInletPressureinletsaresuitableforbothcompressibleandincompressible
flows.Pressureinletboundaryistreatedas
aloss-freetransitionfromstagnation
toinletconditions.FLUENTcalculatesstaticpressureand
velocityatinletMassfluxthroughboundaryvaries
dependingontheinteriorsolutionand
specifiedflowdirection.RequiredinputsGaugeTotalPressureSupersonic/InitialGaugePressureInletflowdirectionTurbulencequantities
(ifapplicable)Totaltemperature(ifheattransfer
and/orcompressible).Incompressible:Compressible:.PressureInletPressureinletsMassFlowInletMassflowinletsareintendedforcompressibleflows;however,theycanbeusedforincompressibleflows.Totalpressureadjuststo
accommodatemassflowinputs.Moredifficulttoconvergethan
pressureinlet.RequiredinformationMassFlowRateorMassFluxSupersonic/InitialGaugePressureStaticpressurewhereflowis
locallysupersonic;ignoredifsubsonicWillbeusedifflowfieldis
initializedfromthisboundary.TotalTemperature(onThermaltab)Usedasstatictemperaturefor
incompressibleflow.DirectionSpecificationMethod.MassFlowInletMassflowinletPressureOutletSuitableforcompressibleandincompressibleflows.Specifiedpressureisignoredifflowislocallysupersonicattheoutlet.Canbeusedasa“free”boundaryinanexternalorunconfinedflow.RequiredinformationGaugePressure(static)–static
pressureoftheenvironmentinto
whichtheflowexits.Backflowquantities–Usedasinlet
conditionsif/whenbackflowoccurs
(outletactslikeaninlet).Foridealgas(compressible)flow,
non-reflectingoutletboundary
conditions(NRBC)areavailable..PressureOutletSuitableforcoWallBoundariesInviscousflows,no-slipconditionsareappliedatwalls.Shearstresscanbeapplied.ThermalboundaryconditionsSeveraltypesofthermalBCsareavailable.Wallmaterialandthicknesscanbedefinedfor1Dorshellconductionheattransfercalculations(detailswillbediscussedintheHeatTransferlecture).Wallroughnesscanbedefined
forturbulentflows.Wallshearstressandheat
transferbasedonlocalflow
field.Translationalorrotational
velocitycanbeassignedtowall
boundaries..WallBoundariesInviscousflowSymmetryandAxisBoundariesSymmetryBoundaryNoinputsarerequired.Flowfieldandgeometrymustbesymmetric:ZeronormalvelocityatsymmetryplaneZeronormalgradientsofallvariablesatsymmetryplaneMusttakecaretocorrectlydefinesymmetryboundarylocations.AxisBoundaryUsedatthecenterlineforaxisymmetricproblems.Nouserinputsrequired.Mustcoincidewiththe
positivexdirection!SymmetryPlanesAxis.SymmetryandAxisBoundariesSyPeriodicBoundariesUsedtoreducetheoverallmeshsize.Flowfieldandgeometrymustcontain
eitherrotationalortranslational
periodicity.RotationalperiodicityΔP=0acrossperiodicplanes.Axisofrotationmustbedefinedinfluidzone.TranslationalperiodicityΔPcanbefiniteacrossperiodicplanes.Modelsfullydevelopedconditions.SpecifyeithermeanΔPperperiod
ornetmassflowrate.Periodicconditionscanbedefined
(ifnotdefinedinthemesh)usingthe
FLUENTTUI:
/mesh/modify-zones/make-periodicTranslationallyperiodicplanes2DTubeHeatExchangerFlowRotationally
periodic
planes.PeriodicBoundariesUsedtoredInternalFaceBoundariesDefinedonthecellfacesonly:ThicknessoftheseinternalfacesiszeroTheseinternalfacesprovidemeansofintroducingstepchangesinflowproperties.Usedtoimplementvariousphysicalmodelsincluding:FansRadiatorsPorous-jumpmodelsPreferableoverporousmediaforitsbetterconvergencebehavior.Interiorwalls.InternalFaceBoundariesDefineCaseSetupReplicationToreplicateacasesetup:Usetheread/writeboundaryconditionsfeatureviaTUIcommand:
/file/write-bc CreatesaBCfile
/file/read-bc ReadsanexistingBCfileYoucantransfersettingsfroma2Dcasetoa3Dcase!inlet-1inlet-2outlet-2outlet-1fluidinlet-1inlet-2outlet-2outlet-12DFlowDomain(approximation)Actual3DFlowDomain.CaseSetupReplicationTorepliSummaryBoundaryzonesareusedtocontrolthesolutionatexternalandinternalboundaries.Manydifferentboundarytypesexistforprescribingboundaryinformation.Cellzones(orcontinuumzones)areusedtoassignwhichfluid/solidmaterial(s)existinaregion.Optionsforporousmedia,laminarregion,fixedvalue,etc.Computationaleffortcanbereducedthroughuseofsymmetryandperiodicboundaries.Thereareseveralotherboundaryconditiontypeswhichwerenotpresented(seeappendixformoreinformationaboutthese).PressureFarFieldExhaustFan/OutletVentInletVent/IntakeFanOutflow.SummaryBoundaryzonesareusedAppendix.Appendix.OtherInlet/OutletBoundaryConditionsPressureFarFieldUsedtomodelfree-streamcompressibleflowatinfinity,withprescribedstaticconditionsandthefree-streamMachnumber.Availableonlywhendensityiscalculatedusingtheidealgaslaw.TargetMassFlowRateoptionforpressureoutlets(notavailableforthemultiphasemodels)Providestheabilitytofixthemassflowrateonapressureoutlet(eitherconstantorviaUDFhook)OptionstochooseiterationmethodinTUIExhaustFan/OutletVentModelsanexternalexhaustfanoroutletventwithspecifiedpressurerise/losscoefficientandambient(discharge)pressureandtemperature.InletVent/IntakeFanModelsaninletvent/externalintakefanwithspecifiedlosscoefficient/pressurerise,flowdirection,andambient(inlet)pressureandtemperature.Inletboundaryconditionsforlarge-eddy/detached-eddysimulationsarecoveredintheTurbulenceModelinglecture..OtherInlet/OutletBoundaryOutflowNopressureorvelocityinformationis
required.Dataatexitplaneisextrapolatedfrom
interior.Massbalancecorrectionisappliedat
boundary.Flowexitingoutflowboundaryexhibitszeronormaldiffusivefluxforallflowvariables.Appropriatewheretheexitflowisfullydeveloped.Theoutflowboundaryisintendedforusewithincompressibleflows.Cannotbeusedwithapressureinletboundary(mustusevelocity-inlet).Combinationdoesnotuniquelysetpressuregradientoverwholedomain.Cannotbeusedforunsteadyflowswithvariabledensity.Poorrateofconvergencewhenbackflowoccursduringiterations.Cannotbeusedifbackflowisexpectedinthefinalsolution..OutflowNopressureorvelocityModelingMultipleExitsFlowswithmultipleexitscanbemodeledusingpressureoutletoroutflowboundaries,dependingontheinformationyouknow.Pressureoutlets–requiresknowledgeofdownstreampressures;FLUENTcalculatesthefractionoftotalflowthrougheachbranch.Outflow:MassflowratefractiondeterminedfromFlowRateWeighting(FRW)byStaticpressurevariesamongexitstoaccommodatetheprescribedflowdistribution.Velocityinlet(V,T0)ORPressureinlet(p0,T0)PressureoutletPressureoutletVelocityinlet(V,T0)Outflow(FRW2)Outflow(FRW1).ModelingMultipleExitsFlowswChapter4
BoundaryConditionsIntroductoryFLUENTTraining.Chapter4
BoundaryConditionsDefiningBoundaryConditionsTodefineaproblemthatresultsinauniquesolution,youmustspecifyinformationontheflowvariablesatboundaries.Specifyfluxesofmass,momentum,energy,othedomain.Definingboundaryconditionsinvolves:IdentifyingtheboundarylocationsSupplyinginformationattheboundariesThedatarequiredataboundarydependsupontheboundaryconditiontypeandthephysicalmodelsemployed.YoumustbeawareoftheinformationthatisrequiredoftheboundaryconditionandlocatetheboundarieswheretheinformationontheflowvariablesareknownorcanbereasonablyapproximatedPoorlydefinedboundaryconditionscanhaveasignificantimpactonyoursolution.DefiningBoundaryConditionsToCellZones–FluidAfluidcellzoneisagroupofcellsforwhichallactiveequationsaresolved.Fluidmaterialselectionisrequired.Formultiplespeciesormultiphase
flows,thematerialisnotshown.
Instead,thefluidzoneconsistsofthe
mixtureofthephases.OptionalinputsPorousregionSourcetermsLaminarregionFixedValuesRadiation.CellZones–FluidAfluidcellPorousMediaAporouszoneisaspecialtypeoffluidzone.EnablePorousZoneoptionintheFluidpanel.Pressurelossinflowdeterminedviauserinputs
ofresistancecoefficientstolumpedparameter
modelUsedtomodelflowthroughporous
mediaandotheruniformlydistributed
flowresistances.PackedbedsFilterpapersPerforatedplatesFlowdistributorsTubebanksInputsaredirectionalviscousand
inertialresistancecoefficients..PorousMediaAporouszoneisaCellZones–SolidAsolidzoneisagroupofcellsforwhichonlyheatconductionproblemsolved.Flowequationsarenotsolved.Onlyrequiredinputisthematerialname(definedintheMaterialspanel).Optionalinputsallowyoutoset
volumetricheatgenerationrate
(heatsource).Needtospecifyrotationaxisif
rotationallyperiodicboundaries
adjacenttosolidzone.Candefinemotionforasolidzone.CellZones–SolidAsolidzoneFuelAirCombustorWallManifoldbox1NozzleLocatingBoundaries–AnExampleThreepossibleapproachesinlocatinginletboundariesforthisexample:UpstreamofmanifoldCanuseuniformprofile.Properlyaccountsformixing.Non-premixedreactionmodelsRequiresmorecells.NozzleinletplaneNon-premixedreaction
models.Requiresaccurateinlet
profile.Flowisstillnon-premixed.3NozzleoutletplanePremixedreactionmodel.Requiresaccurateprofile.Notgenerallyrecommendedsince
inletBCsmaydrivetheinteriorsolution.123.FuelAirCombustorWallManifoldGeneralGuidelinesIfpossible,selectboundarylocationandshapesuchthatfloweithergoesinorout.Notnecessary,butwilltypicallyobservebetterconvergence.Shouldnotobservelargegradientsindirectionnormaltoboundary.Indicatesincorrectset-up.Minimizemeshskewnessneartheboundary.Otherwiseitwouldintroduceerrorearlyincalculation.21Upperpressureboundarymodifiedtoensurethatflowalwaysentersdomain..GeneralGuidelinesIfpossible,AvailableBoundaryConditionTypesExternalBoundariesGeneralPressureInletPressureOutletIncompressibleVelocityInletOutflow(notrecommended)CompressibleMassFlowInletPressureFarFieldOtherWallSymmetryAxisPeriodicSpecialInlet/OutletVentIntake/ExhaustFanInternalBoundariesFanInteriorPorousJumpRadiatorWallCell(Continuum)zonesFluidSolidPorousmediaorificeoutletinletplate
plate-shadowwall.AvailableBoundaryConditionTChangingBoundaryConditionTypesZonesandzonetypesareinitiallydefinedinthepreprocessingphase.Tochangetheboundaryconditiontypeforazone:ChoosethezonenameintheZonelist.SelectthetypeyouwishtochangeittointheTypepull-downlist..ChangingBoundaryConditionTySettingBoundaryConditionDataExplicitlyassigndatainBCpanels.Tosetboundaryconditionsforparticularzone:SelectBoundaryConditionsintheprojecttree.ChoosetheboundarynameintheZonelist.ClicktheEdit…button.Boundaryconditiondatacanbecopiedfromonezonetoanother.BoundaryconditionscanalsobedefinedbyUDFsandprofiles.Profilescanbegeneratedby:WritingaprofilefromanotherCFDsimulationCreatinganappropriatelyformattedtextfile
withboundaryconditiondata..SettingBoundaryConditionDatVelocityInletVelocitySpecificationMethodMagnitude,NormaltoBoundaryComponentsMagnitudeandDirectionAppliesauniformvelocityprofile
attheboundary,unlessUDFor
profileisused.Velocityinletsareintendedfor
useinincompressibleflowsand
arenotrecommendedforcompressibleflows.VelocityMagnitudeinputcanbenegative,implyingthatyoucanprescribetheexitvelocity..VelocityInletVelocitySpecifiPressureInletPressureinletsaresuitableforbothcompressibleandincompressible
flows.Pressureinletboundaryistreatedas
aloss-freetransitionfromstagnation
toinletconditions.FLUENTcalculatesstaticpressureand
velocityatinletMassfluxthroughboundaryvaries
dependingontheinteriorsolutionand
specifiedflowdirection.RequiredinputsGaugeTotalPressureSupersonic/InitialGaugePressureInletflowdirectionTurbulencequantities
(ifapplicable)Totaltemperature(ifheattransfer
and/orcompressible).Incompressible:Compressible:.PressureInletPressureinletsMassFlowInletMassflowinletsareintendedforcompressibleflows;however,theycanbeusedforincompressibleflows.Totalpressureadjuststo
accommodatemassflowinputs.Moredifficulttoconvergethan
pressureinlet.RequiredinformationMassFlowRateorMassFluxSupersonic/InitialGaugePressureStaticpressurewhereflowis
locallysupersonic;ignoredifsubsonicWillbeusedifflowfieldis
initializedfromthisboundary.TotalTemperature(onThermaltab)Usedasstatictemperaturefor
incompressibleflow.DirectionSpecificationMethod.MassFlowInletMassflowinletPressureOutletSuitableforcompressibleandincompressibleflows.Specifiedpressureisignoredifflowislocallysupersonicattheoutlet.Canbeusedasa“free”boundaryinanexternalorunconfinedflow.RequiredinformationGaugePressure(static)–static
pressureoftheenvironmentinto
whichtheflowexits.Backflowquantities–Usedasinlet
conditionsif/whenbackflowoccurs
(outletactslikeaninlet).Foridealgas(compressible)flow,
non-reflectingoutletboundary
conditions(NRBC)areavailable..PressureOutletSuitableforcoWallBoundariesInviscousflows,no-slipconditionsareappliedatwalls.Shearstresscanbeapplied.ThermalboundaryconditionsSeveraltypesofthermalBCsareavailable.Wallmaterialandthicknesscanbedefinedfor1Dorshellconductionheattransfercalculations(detailswillbediscussedintheHeatTransferlecture).Wallroughnesscanbedefined
forturbulentflows.Wallshearstressandheat
transferbasedonlocalflow
field.Translationalorrotational
velocitycanbeassignedtowall
boundaries..WallBoundariesInviscousflowSymmetryandAxisBoundariesSymmetryBoundaryNoinputsarerequired.Flowfieldandgeometrymustbesymmetric:ZeronormalvelocityatsymmetryplaneZeronormalgradientsofallvariablesatsymmetryplaneMusttakecaretocorrectlydefinesymmetryboundarylocations.AxisBoundaryUsedatthecenterlineforaxisymmetricproblems.Nouserinputsrequired.Mustcoincidewiththe
positivexdirection!SymmetryPlanesAxis.SymmetryandAxisBoundariesSyPeriodicBoundariesUsedtoreducetheoverallmeshsize.Flowfieldandgeometrymustcontain
eitherrotationalortranslational
periodicity.RotationalperiodicityΔP=0acrossperiodicplanes.Axisofrotationmustbedefinedinfluidzone.TranslationalperiodicityΔPcanbefiniteacrossperiodicplanes.Modelsfullydevelopedconditions.SpecifyeithermeanΔPperperiod
ornetmassflowrate.Periodicconditionscanbedefined
(ifnotdefinedinthemesh)usingthe
FLUENTTUI:
/mesh/modify-zones/make-periodicTranslationallyperiodicplanes2DTubeHeatExchangerFlowRotationally
periodic
planes.PeriodicBoundariesUsedtoredInternalFaceBoundariesDefinedonthecellfacesonly:ThicknessoftheseinternalfacesiszeroTheseinternalfacesprovidemeansofintroducingstepchangesinflowproperties.Usedtoimplementvariousphysicalmodelsincluding:FansRadiatorsPorous-jumpmodelsPreferableoverporousmediaforitsbetterconvergencebehavior.Interiorwalls.InternalFaceBoundariesDefineCaseSetupReplicationToreplicateacasesetup:Usetheread/writeboundaryconditionsfeatureviaTUIcommand:
/file/write-bc CreatesaBCfile
/file/read-bc ReadsanexistingBCfileYoucantransfersettingsfroma2Dcasetoa3Dcase!inlet-1inlet-2outlet-2outlet-1fluidinlet-1inlet-2outlet-2outlet-12DFlowDomain(approximation)Actual3DFlowDomain.CaseSetupReplicationTorepliSummaryBoundaryzonesareusedtocontrolthesolutionatexternalandinternalboundaries.Manydifferentboundarytypesexistforprescribingboundaryinformation.Cellzones(orcontinuumzones)areusedtoassignwhichfluid/solidmaterial(s)existinaregion.Optionsforporousmedia,laminarregion,fixedvalue,etc.Computationaleffortcanbereducedthroughuseofsymmetryandperiodicboundaries.Thereareseveralotherboundaryconditiontypeswhichwerenotpresented(seeappendixformoreinformationaboutthese).PressureFarFieldExhaustFan/Ou
温馨提示
- 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
- 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
- 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
- 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
- 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
- 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
- 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。
最新文档
- 《Linux操作系统》教案
- 12. 搭建WWW基础服务器
- 注册会计师税法中税收风险防控体系的建立完善
- 某钢铁厂轧钢工艺管理办法
- 某塑料厂生产安全操作准则
- 危化品运输安全生产领导小组会议记录(1-12月)
- 2026年企业软件需求说明书编制
- 2026绵阳嘉信人才服务有限公司招聘工作人员1人备考题库及答案详解(全优)
- 2026内蒙古呼和浩特职业技术大学第二批人才引进23人备考题库及答案详解(典优)
- 2026海南海口市秀英区疾病预防控制中心招聘事业编制人员9人备考题库及答案详解【有一套】
- GB/T 41223-2021土壤质量硝化潜势和硝化抑制作用的测定氨氧化快速检测法
- 非稳态热传导
- 山东临工后市场运营思辨-定稿
- 马工程西方经济学(第二版)教学课件-5
- 马工程西方经济学(第二版)教学课件-7
- 大戏院改造项目施工组织设计
- DB37-T 3866-2020 健身场地防护缓冲垫通用技术要求-(高清版)
- 国民经济行业分类注释2002
- 《水利水电工程设计计算程序集》
- 钢结构独立基础开挖施工方案
- (新教材)必修2基因的表达单元教学设计
评论
0/150
提交评论