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1、ConductionHeatTransferCalculationsUsingStructuredandUnstructuredGridsZhangMin1,JohnC.Chai2,XuBin1,LiuShaopei1,ZhangJunbo1'SchoolofPowerEng.,NanjingUniversityofScience&Technology,Nanjing(210094)2SchoolofMechanicalandAerospacingEng.,NanyangTechnologicalUniversity,S
2、ingapore(639798)E-mail:mz2455@163.comAbstractConductionheattransferproblemsweresolvedusingacell-basedfinitevolumemethod・Solutionswereobtainedusingstructuredandunstructuredgrids.Whenavailable,resultswerecomparedwithexactsolutions.Althoughbothstructuredandunstructu
3、redgridsproduceaccuratesolutions,structuredgridsolutionsaremoreaccurate・Thesecondarydiffusiontermisimportantifaccuratesolutionsweretobeobtained・Keywords:Structuredgrid,unstmeturedgrid,heatconduction1.IntroductionOverthelastthreedecades,therehavebeensignificantadv
4、ancesinnumericalproceduresforcomplexdiffusionproblems.Bothfinite-volumeandfinite-elementformulationshavebeenpresentedbyvariousresearchers・Initially,proceduresareformulatedforstructuredCartesianandcylindricalcomputationalgrids山・Theseprocedureswereextendedtoaccount
5、forcomplexgeometriesusingbody-fittedcomputationalgrids121.Recently,proceduresforunstructuredgridswereused
6、M,.Theobjectiveofthisarticleistopresenttheresultsforanunstructuredgridprocedureappliedtoascalardiffusionequationandexaminetheimportanceofthesecondarydiffusio
7、ntenn.Theremainderofthisarticleisdividedintofoursections.Thegoverningequationanditsboundaryconditionsarepresentedinthenextsection.Thediscretizationofthegoverningequationisthenpresentedinthenextsection.Thisisfollowedbythepresentationoftwoexampleproblemsand,finally
8、,someconcludingremarks.2.GoverningEquationandBoundaryConditionsThesteady-stateformofthedifferentialequationrepresentingtheconservationofascalarvariable。canbewrittenasadXjwhereSisthenetgenerationrateperunitvolumeand「isthediffusioncoefficientappropriateforthevariab
9、le0.Figure1.Twopossibletwo-dimensionalcontrolvolumes(b)triangular(2a)(2b)(2c)Indiffusionproblems,threekindsofboundaryconditionsarccommonlycncountcrcd.Thesearc(