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1、分類號(hào):V211密級(jí):學(xué)校代碼:10699學(xué)號(hào):036056157西北工業(yè)大學(xué)碩士學(xué)位論文(學(xué)位研究生)結(jié)構(gòu)/直角網(wǎng)格下時(shí)域有限體積法在計(jì)算電磁中的應(yīng)用研究作者陳剛指導(dǎo)教師高正紅教授學(xué)科(專業(yè))飛行器設(shè)計(jì)西北工業(yè)大學(xué)航空學(xué)院2006年3月西安AbstractBasedontheconceptofaerodynamicandstealthsynthesisdesignforaircraftandmissileconfigurations,

2、acharacteristicbased,F(xiàn)initeVolumemethodinTimeDomain(FVTD),whichstemsfromthetechniquesofComputationalFluidDynamics(CFD)hasbeenappliedtocomputationalelectromagnetism(CEM)graduallyduringtherecentdecadesGroundedonplentyoflit

3、eratures,thisthesishasexploredcellcentered,electromagneticvariablescollocatedFVTDalgorithmswhileusingstructuredandunstructuredgridssuccessivelyInthisthesis,asolverforsimulationofpropagationofplanarelectromagneticwaveinfr

4、eeormulti—mediumspaceinIDcasesandasolverforscatteringproblemsin2Deasesusingstructuredgrids,andasolverforscatteringproblemsin3DcasesusingadaptiveCartesiangridsaredevelopedinorderTherelativelyhighorderprecisionofthesolvers

5、hasbeenvalidatedbyquantityofnumericaItestcases1nthestructuredFVTDalgorithmafter1eftandrightstatevariableshavebeenobtainedusingtheVanLeer’sMUSCLschemefluxformulationoneellInterfaceisobtainedbyusingStegerWarmingfluxvectors

6、plittingorapproximateRiemannsolutionbothofwhicharepresentedsuccessivelyanddemonstratedessantialequalbynumericalresults0neefluxcalculationareaccomplishedthesemidiscretizationequationsarecastintoordinarydi疵rentiaiequations

7、whichcanbesolvedbyseverelnumericalmethodsincludingthetwoandfourstepsRunge—KuttaalgorithmadoptedinIDand2DeasesrespectivelyinthisthesisTos“dythedissipationanddispersioncharacteristicsofMUSCLschemeandtwo—fourstepsRange—Kutt

8、aintegrationmentionedabove,stabilltyanalysisusingModifiedPDEandFouriermethodsisperformedfirstlyInthenextchapterthestructuredalgorithmisappliedtosimulatethepropagationofplanarelectromagneticwaveinfreeormulti—mediumspaceTh

9、estudyofimpactofdifferentMUSCLschemes,gridresolution,CFLnumbersande:dformsonaccuracyanddissipativeanddispersivefeaturesisperformedandtherangesofvalueforcorrespondingparametersarediscussedandsuggestedbasedontheworkdoneint

10、hispartFoundedontheformerlywork,scatteringproblemsofseveral2DperfectelectricalconductorsincludingcylinderandNACA0012airfoilalesolvedThefactthatcomputationalresultsofsurfaceinducedelectriccurrentandbiostaticRadarCrossSect

11、ion(RCS)agreequitewellwiththeoryvaluesorresultsfromreferencesdemonstratesthattheFVTDfsahighaccuratemethodforcomputationalelectromagneticsandthesolverusing2Dstructuredgridsdevelopediscapableforthescatteringproblemsoverqui

12、tewiderangefromlowtohighfrequencyandalsoapplicabletopracticalshapeinengineeringMeanwhile,throu【ghthediscussionofthenumericalresultsofcylindertheimpactsoftheparametersinvolvedontheresultsareinvestigatedandtheallowablevalu

13、erangesoftheparametersarealsosuggestedTheunstructuredFVTDalgorithmadoptedisstillcastintheformofsemi—discretizationAfterleftandrightstatevariableshavebeenobtainedbythereconstructionmethod,approximateRiemmanSolutionisintro

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