 Wysłany: Sob 21:32, 15 Sty 2011 Temat postu: Two-dimensional Euler equations Accuracy Analysis |
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| Two-dimensional Euler equations Accuracy Analysis Algorithm without grid
ijing100080,UGG ブーツ, China; 4. NanjingUniversityofAeronauticsandAstronautics,tory burch shoes, Nanjing210016, China) Abstract: ThepotentialforusingagridlessmethodbasedonfreeofmeshconceptfortheEulerequationsisinvestigated. TheEulerequationsaresolveddirectlybyusinglocalleast-squarescurves-fitsineachcloudofpoints, andthencomputingthecurves-fitsequationstoapproximatethespatialderivatives. Thispaperfocusesontheaccuracyanalysisofthismethod. Afewkindsofthepointdistributionwithinthecloudofpointsarespecifiedtoanalyzetheaccuracyofthespatialderivativesapproximation. Thispaperpointsoutthatthebalanceofpointsdistributionwithinthecloudofpointsplaysaleadingroleontheaccuracy. Agridlessmethodcanachievesecond-orderaccuracyonthebalancedpointsdistributions,ugg boots sale, buttheaccuracyisonlyfirst-orderontheunbalancedpointdistributions. Increasingthenumberofpointswithinthecloudofpointorusingthehigh - ordercurves - fitscannotimprovetheaccuracy. Thenumericalexperimentwasconductedtoverifytheaboveconclusion. Weusepointsfilledbythetwo-dimensionalstructuregridgeneratortoformtwokindsofpointcloud,Converse chaussures, oneialancedtheotherisunbalanced. Theresultindicatesthatthesecond-orderaccuracyisachievedonbalancedpointdistributionsincethepressuredistributioniswel1agreementwiththatofsecond-orderfinite-volumemethod. Butonlythefist-orderaccuracyontheunbalancedpointsdistributionswasachieved,tory burch shoes, thepressuredistributionalsoshowsquitedifferencebetweensecond-orderfinite-volumemethodandgridlessmethodatdiscontinuousregion. Keywords: gridlessalgorithm; least-squarefits; Eulerequations; accuracyanalysis |
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