关于《同济大学（内部使用）核心学术刊物基本目录》（试行.doc

《关于《同济大学（内部使用）核心学术刊物基本目录》（试行.doc》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、Team#330Page10of10TheSimulationofFloodPlanningBasedonPDEYifengZhu,JiakaiWangandZheminLiangSummaryInthispaper,theproblemoffloodcausedbythebreachofSaludadamisaddressed.ThesystemofSaintVenantpartialdifferentialequationsisusedtosolvetheproblem,whichcontainscontinuityequationanddynamicequatio

2、n.Inourmodel,thefloodischaracterizedbyitsvelocity,volumeandduration.TwoquestionsproposedintheMCMproblemAaretackledintheprocessofmodeling.ThefirstishowmuchfloodingwilloccurinRawlsCreekandhowfaritwillextendback.ThesecondiswhetherthefloodcouldbesomassivedownstreamthatwaterwouldreachuptotheS

3、.C.StateCapitolBuilding.Tosolvethepartialdifferentialequations,aproperdifferenceschemaanditsiterativemethodareproposed.ThecorrespondingMatlabprogramwedevelopedtosolvetheequationssimulatesthefloodingsituationsandsomemajorconclusionsareobtained.Theanswerstothetwoquestionsproposedarealsowor

4、kedoutbasedonourassumptionsabouttheparametervaluesandtheconditionsoftheSaludaRiver.Theanswertothefirstquestionis:thedistancewhichthefloodcanextendbackintheRawlsCreekdependsontheoverflowingtime,thatisthetimespanduringwhichthelakewateroverflowsthedamthroughthebreach.Thelongertheoverflowing

5、timeis,thefartherthefloodwillextendback.Forexample,iftheoverflowingtimeisassumedtobe30minutes,thenthefloodwillextendabout1000mintheRawlsCreekandthelargestvolumeofthefloodisabout40460cubicmeterspersecond.Theanswertothesecondquestionis:thereexistsacriticalpointofoverflowingtime.Iftheoverfl

6、owingtimeisbelowthatpoint,theColumbiaCityissafe;otherwise,itwillgetinundated.Accordingtothecomputersimulationbasedonourassumptions,thecriticalpointis40minutesandthefloodwillreachColumbiaCityafter83minutes.Thehighestvelocityisabout2.5meterspersecondandthelargestvolumeisabout10135cubicmete

7、rspersecond.Thefloodcanlast5minuteswithmassivevolumes.Bychangingtheparametervaluesintheassumptions,ourmodelcanbeusedtoanalyzetheimpactofthefloodinginvarioussituations.Basedontheinformationthusobtained,thegovernmentcanissuewarningsofthepotentialfloodingandtakenecessarymeas