有關(guān)太陽磁場的無力場模型及計算方法研究.pdf

1、西安電子科技大學博士論文有關(guān)太陽磁場的無力場模型及計算方法研究作者：李柱恒導師：宋國鄉(xiāng)，顏毅華學科：應用數(shù)學學位：理學博士二OO五年10月中國兩安y82315lAbstractWbhavedonetheinveStigationaboutsolarmagneticfieldinthefollowingrespects：1Wehaveintroducedindetailmainmethodsofsolvingsolarlinearforo

2、e—freefieldmodels，discussedtheiradvantagesanddisadvantagesandunderstoodfullytherelationsofthemethodsWealsomadecommentsonsomeworksaboutlinearforcefreefield2Aboundaryintegralformulationdescribingconstant—aforce—freefieldwi

3、thfiniteenergycontentinthesemi—infinitespaceabovethesunWaSproposed(Yan，1995)，thisformulmioncontainsboundaryfieldanditsnormaIgradientunderintegralsignWepresentanewdirectboundaryintegralforillulationbasedontheformulationof

4、YahintermoftheboundaryfieldonlyComparedwithYan’sformulation，tocalculatefieldusingthisnewformulationhasadvantagesofspeedinessandnicetyTwoexamplesaregivenforindicatingnonnecessityoftheasymptoticconditionofthemodel(Yan1995)

5、3Aboundaryintegralequationrepresentationforthenonconstant盤foroefreefieldinspaceoutsidetheSunwasinvestigatedbyYall＆SakuraiwhointroducedalocaJparameter五insteadoftheforcefreefactorawhichshouldsatisfyaproposedconditionThenth

6、efieldatanypointinspacecanberepresentedbytheboundaryintegralequationInchapter5，itisjustifiedthat，foraclosedformnonconstantfoice—freefieldproblemwithfiniteenergycontentinfreespacearoundtheSunasinLow&LousuchrealAsolutionsd

7、oexist4Thepropertyofboundaryintegralequation(Yan&Sakurai20001hasbeendiscussed(Lieta12004)，whereakindofimportantsingularitysurfaceintegrationcanbefoundInordertocalculatethiskindofintegration，webuildthesamedistributionprin

8、cipletiemannintegralandgivesomeimportantapplicationsofit5Adirectboundaryintegralformulationforforce—freemagneticfieldwithfiniteenergycontentinthesemispaceabovetheSunispresentedThenonlinearforeefreefieldmodelistranslatedi

9、ntoanonlinearprogrammingproblemWehaveproposedanoptimalmethodtonumericallysolvethenonlinearprogrammingproblemsothatnonlinearforoefreefieldsolutioncanbeobtainedAtestcasestudyhasbeencarriedouttodemonstratetheconvergence，acc

10、uracyandefficiencyofthenumericalproceduresTheagreementbetweennumericalandexactresultsvalidatethecorrectnessandmeritsofthenewformulationandcomputationalprocedureproposed6Theboundaryintegralequation(Yan&Sakurai，2000)contai

11、nsboundarymagneticfieldanditsnormalgradientunderrightintegralsignWepresentanewdirectboundaryintegralequationintermoftheboundarymagneticfieldonlyWhilecalculatingmagneticfieldvaluesatspacepointswiththeequationofYan&Sakurai

12、，wemustfirstcalculatenormalgradientofmagneticfieldattheboundarybyusingboundaryelementmethod，anditmusttakesmuchtimetocalculatemagneticnormalgradient；butwhilecalculatingmagneticfieldwithnewdirectequation，weneednotcalculate

13、magneticnormalgradientComparedwithYan‘sequation，tocalculatefieldusingthisnewequationhasadvantageofspeedinessKeywords：solarmagneticfieldforcefreefieldboundaryintegralequationboundaryelementmethodsamedistributionprinciples