Mesh-Intro 14.0 L-07 Mesh Quality
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2011ANSYS,Inc. December27,20111 Release14.0
14.0Release
IntroductiontoANSYSMeshing
Lecture7MeshQuality
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Whatyouwilllearnfromthispresentation
ImpactoftheMeshQualityontheSolution Qualitycriteria Variousmethodsforcheckingthemeshquality ToolstoimprovequalityinMeshing Pinch Virtualtopology
MeshQuality
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CheckMeshQuality
PreprocessingWorkflow
Sketches and Planes
Geometry Import Options
3D Operations
Direct CAD/Bi-Directional CAD
Geometry Cleanup and
Repair
Automatic Cleanup
Merge, Connect, Projection, Flow
Volume Extraction, etc
Extrude, Revolve, Sweep, etc
3D Operations
Boolean, Body Operations, Split,
etc
Meshing Methods
Hybrid Mesh: Tet, Prisms, Pyramids
Hexa Dominant, Sweep meshing
Global Mesh Settings
Local Mesh Settings
Sizing, Body/Sphere of Influence, Match
Control, etc
GeometryCreationOR
GeometryImport
GeometryOperations Meshing Solver
Assembly Meshing
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MeshingProcessinANSYSMeshing
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ImpactoftheMeshQualityGoodqualitymeshmeansthat Meshqualitycriteriaarewithincorrectrange Orthogonalquality
Meshisvalidforstudiedphysic Boundarylayer
Solutionisgridindependent Importantgeometrydetailsarewellcaptured
Badqualitymeshcaninduce Convergencedifficulties Badphysicdescription DiffusesolutionUsermust Checkqualitycriteriaandimprovegridifneeded Thinkaboutmodelandsolversettingsbeforegeneratingthegrid Performmeshparametricstudy,meshadaption
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Exampleshowingdifferencebetweenameshwithcellsfailingthequalitycriteriaandagoodmesh
HotSpotsduetodeterioratedcells
ImpactoftheMeshQualityontheSolution
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(max,avg)CSKEW=(0.912,0.291) (max,avg)CAR=(62.731,7.402)
(max,avg)CSKEW=(0.801,0.287) (max,avg)CAR=(8.153,1.298)
VzMIN-100ft/min VzMAX400ft/min
VzMIN-90ft/min VzMAX600ft/min
ImpactoftheMeshQualityontheSolution
Large cell size change
M
e
s
h
2
M
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h
1
Diffusionexample
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Solutionrun with multiplemeshesNote:Forallruns thecomputed Y+is valid forwall function (firstcell notinlaminar zone)
GridDependency
DP0 DP1 DP2 DP3 DP4
NbCells 500 3000 24000 190000 1.5M
DP 0 DP 3
2%
x8
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GridDependency Hexa cellscan bestretchedinstreamdirectiontoreducenumberofcells
Biasdefined oninletandoutletwalls Biasdefined oninletedges
16 000 cells (~DP2)Delta P = 310 Pa (~DP3)
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Hexa:Concentrationinonedirection Anglesunchanged
Tetra:Concentrationinonedirection Anglesdeteriorate
Prism:Concentrationinonedirection Anglesunchanged
Solutionforboundarylayerresolution:Hybridprism/tetrameshes Prisminnearwallregion,tetrainvolume Automated ReducedCPUtimeforgoodboundarylayerresolution
Hexa vs.Tetra
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DisplaysmeshinformationforNodesandElements
ListofqualitycriteriafortheMeshMetric Selecttherequiredcriteriatogetdetailsforquality Itshowsminimum,maximum,averageandstandarddeviation
Differentphysicsanddifferentsolvershavedifferentrequirementsformeshquality
MeshmetricsavailableinANSYSMeshinginclude: ElementQuality AspectRatio JacobeanRation WarpingFactor ParallelDeviation MaximumCornerAngle Skewness OrthogonalQuality
MeshStatisticsandMeshMetrics
For Multi-Body Parts, go to corresponding body in Tree Outline to get its separate mesh statistics per part/body
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OrthogonalQuality(OQ)
Deriveddirectlyfrom
Fluentsolverdiscretization
Foracellitistheminimumof:
computedforeachfacei
Fortheface itiscomputedastheminimumofcomputedforeachedgeI
WhereAi isthefacenormalvectorandfi isavectorfromthecentroid ofthecelltothecentroidofthatface,andci isavectorfromthecentroid ofthecelltothecentroid oftheadjacentcell,whereei isthevectorfromthecentroid ofthefacetothecentroid oftheedge
Atboundariesandinternalwalls
ci isignoredinthecomputationsofOQ
MeshQualityMetrics
A1
A2
A3
f1f2f3
c2c1
c3
A1
A2
A3
e1e2e3
Oncell
|||| iiii
fAfA
|||| iiii
cAcA
|||| iiii
eAeA
Onface
0 1Perfect Worst
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Skewness
Twomethodsfordeterminingskewness:1. EquilateralVolumedeviation:
Skewness =
Appliesonlyfortrianglesandtetrahedrons
2. NormalizedAngledeviation:
Skewness =
Whereistheequiangularface/cell(60fortets andtris,and90forquadsandhexas) Appliestoallcellandfaceshapes Usedforhexa,prismsandpyramids
e
mine
e
emax ,180
max
minmax
optimal cell size cell sizeoptimal cell size
Optimal (equilateral) cell
Actual cell
Circumsphere
MeshQualityMetrics
e
0 1Perfect Worst
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MeshqualityMeshqualityrecommendations
LowOrthogonalQualityorhighskewness valuesarenotrecommended
Generallytrytokeepminimumorthogonalquality>0.1,ormaximumskewness
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AspectRatio2D: Length/heightratio:x/y
3D Arearatio Radiusratioofcircumscribed/inscribedcircle
Limitationforsomeiterativesolvers A
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SmoothnessChecked insolver VolumeChangeinFluent
Available inAdapt/Volume 3D:i =Vi/Vnb
ExpansionFactorinCFX Checkedduringmeshimport Ratiooflargesttosmallestelementvolumes
surroundinganode
Recommendation:Good: 1.0 < < 1.5Fair: 1.5 < < 2.5Poor: > 5 20
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MeshMetricGraphDisplaysMeshMetricsgraphfortheelementqualitydistribution
Differentelementtypesareplottedwithdifferentcolorbars
Canbeaccessedthroughmenubarusingicon
Clickonrequiredbartoseecorrespondingelementsinthegraphicsview
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MeshMetricsControlsThehistogramdistributioncanbecontrolledusingbuttoninMeshMetrics
ElementsonYAxiscanbeplottedwithtwomethods NumberofElements PercentofVolume/Area
Optionstochangetherangeoneitheraxisaswellselectionforrequiredtypeofelementsformetricsdisplay
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MeshMetricChartexample Interactivewaytoviewthecellsofdesiredqualityonly
ClickonthehistogrambartodisplaycellsofthatqualityrangeintheGraphicsDisplay
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Controlbuttonoptions VariousoptionstoexploreundertheControls
MeshMetricChartexample
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SectionPlanesDisplaysinternalelementsofthemesh
Elementsoneithersideofplanecanbedisplayed Togglebetweencutorwholeelementsdisplay Elementsontheplane
Multiplesectionplanesareallowed
For large meshes, it is advisable to switch to geometry mode (click on geometry in the Tree Outline), create the section plane and then go back to mesh model
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MeshQualityCheckforCFXTheCFXsolvercalculates3importantmeasuresofmesh
qualityatthestartofarunandupdatesthemeachtimethemeshisdeformed
MeshOrthogonality AspectRatio ExpansionFactor
+--------------------------------------------------------------------+| Mesh Statistics |+--------------------------------------------------------------------+Domain Name: Air Duct
Minimum Orthogonality Angle [degrees] = 20.4 okMaximum Aspect Ratio = 13.5 OKMaximum Mesh Expansion Factor = 700.4 !
Domain Name: Water PipeMinimum Orthogonality Angle [degrees] = 32.8 okMaximum Aspect Ratio = 6.4 OKMaximum Mesh Expansion Factor = 73.5 !
Global Mesh Quality Statistics :Minimum Orthogonality Angle [degrees] = 20.4 okMaximum Aspect Ratio = 13.5 OKMaximum Mesh Expansion Factor = 700.4 !
Good(OK)
Acceptable (ok)
Questionable(!)
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MeshQualityCheckforFLUENTGridchecktoolsavailable Check :Performvariousmeshconsistencychecks
ReportQuality:listsworsevaluesoforthogonalqualityandaspectratio
TUIcommandmesh/checkverbositysetsthelevelofdetailsinthereport
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FactorsAffectingQualityGeometryproblems Smalledge Gaps SharpangleMeshingparameters SizingFunctionOn/Off Minsizetoolarge Inflationparameters Totalheight Maximumangle
HardsizingMeshingmethods Patchconformalorpatchindependenttetra SweeporMultizone Cutcell
Geometry cleanup in Design Modeler
or
Virtual topology & pinch in Meshing
Mesh setting change
Mesh setting change
Direct meshing can be used to minimize remeshing time
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VirtualTopology(VT) Whentouse?