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1、InternationalJournalofFluidDynamics流体动力学,2017,5(3),83-90PublishedOnlineSeptember2017inHans.http://www.hanspub.org/journal/ijfdhttps://doi.org/10.12677/ijfd.2017.53010LeastSquaresIsogeometricMethodforTransientFlowaroundanImpulsivelyStartedCircularCylinderDayongXu1,Dexi
2、angChen2,JianGuo2,JibaoTang21NavyMilitaryRepresentativeOfficeforSpaceflightElectro-MechanicalSysteminNanjingDistrict,NanjingJiangsu2StateKeyLaboratoryofCompressorTechnology,HefeiGeneralMachineryResearchInstitute,HefeiAnhuithndthReceived:Jul.25,2017;accepted:Aug.2,2017
3、;published:Aug.9,2017AbstractToinvestigatethecapabilityofleastsquaresisogeometricmethodforcomplexflow,themethodwasusedtosimulatethetransientflowaroundanimpulsivelystartedcircularcylinder.Thego-verningequationswerefirstdiscretizedintimebyimplicitdifferenceschemewiththi
4、rdorderofaccuracy,andthendiscretizedinspacebyleastsquaresisogeometricmethodwithorderofaccu-racymorethantwo.TheflowoverarangeofReynoldsnumbersfrom550to9500wasnumerical-lysimulated.Resultswerecomparedtothosefromotherexperimentalandcomputationalworks.Theflowmodeslikebulg
5、e,isolatedsecondaryeddy,α-phenomenaandβ-phenomenaatdifferentReynoldsnumberwereresolvedcorrectly.Theresultsshowthatthehighorderaccuracyleastsquaresisogeometricmethodcanbeusedforsimulationofcomplextransientflow.KeywordsTransientFlow,FlowaroundCircularCylinder,LeastSquar
6、esIsogeometricMethod,ImplicitDifferenceScheme圆柱突然启动后绕流的最小二乘等几何模拟1222徐大勇,陈德祥,郭建,汤继保1海军驻南京地区航天机电系统军事代表室,江苏南京2合肥通用机械研究院,压缩机技术国家重点实验室,安徽合肥收稿日期:2017年7月25日;录用日期:2017年8月2日;发布日期:2017年8月9日文章引用:徐大勇,陈德祥,郭建,汤继保.圆柱突然启动后绕流的最小二乘等几何模拟[J].流体动力学,2017,5(3):83-90.DOI:10.12677/ijfd.2017.5
7、3010徐大勇等摘要为研究最小二乘几何方法处理较复杂流动的特性,用该方法求解了圆柱突然启动后的瞬态流场。控制方程的时间离散采用三阶精度的隐式差分格式,空间离散采用二阶以上精度的最小二乘等几何方法。对雷诺数为550~9500的流动进行了模拟,并与其它实验及数值方法的结果进行了对比,数值解中捕捉到了不同雷诺数下的产生的鼓包、孤立涡、α-现象和β-现象等流动模式。计算结果表明高精度的最小二乘等几何法可用于复杂瞬态流动的模拟。关键词瞬态流动,圆柱绕流,最小二乘等几何方法,隐式差分Copyright©2017byauthorsandHans
8、PublishersInc.ThisworkislicensedundertheCreativeCommonsAttributionInternationalLicense(CCBY).http://creativecommons.org/lice