基于HLL有限体积的一维河网水动力模型

——以皎鄞区间为例

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中图分类号：TV131.2 文献标识码：A 文章编号：1001-9235（2025）08-0082-07

One-dimensional River Network Hydrodynamic Model Based on HLL Finite Volume Method：ACaseStudyofJiaokou-YinjiangRegion

GU Weiwei’， CHEN Longzan’，ZHANG Jingsi’，LI Weizheng， YANG Yanfei，ZHANGWeiguo （1.Ningbo WaterConservancy& Hydropower Planning andDesign Institute Co.，Ltd.，Ningbo 315192， China; 2.Ningbo Water Resources InformationManagementCenter，Ningbo315oo，China; 3.BureauofHydrolog，Changjiang WaterResourcesoission， Wuhan 430010， China）

Abstract：Toadressoedimensionalriveretwokmodels'difultsolutinincomplexareasandisufetcapabilityofapturing shock waves，thispaperdevelopsahydrodynamic modelsuitable forcomplexriver networksinmountainousandplainareas．The modelisbasedonthefinitevolumediscretizationof the Saint-VenantequationsandadoptstheHarten-Lax-van-Leer（HLL） approximateRiemannsolver tosolveumericalfluxesatinterfaces.AdditionallyanextendedRiemannmethodisemployedtosolve thewaterlevelsatbfurcationpointsTemodel'svalidityisconfiedbyadam-breakmodel，demonstratingstrongcapabilisfor handlingcrosscriticalflowchanges.Meanwhile，themodelfeaturesstablecalculationwithacurateresultsevenunderdry-bed situations.Thus，themodelisfurterappliedtotheJiaokou-YinjiangRegionandtheresultsshowthatiefectivelytacklesthedrybedproblems encounteredduringlowinflowsinmountainousareas.Additionallyduringfloods，thismodelexhibitshighsiulation accuracyaccuatelyetingeoodsdessonrocsssellstiingffoodpaks.ompaedie diferencemethod，theodelaturesomparablesiuationauracandomputatioalefienc，withitsomputatioalency improved by 15. 7% .In terms ofearlywarningandforecasting of waterlevels，theproposedmodelhas higheraccuracyandcanprovide significantsupprtforfloodcontroldecision-making.Thebuiltmodelcanprovidenewinsightsforfloodforecastingandsiulationn mountainousareasand other complex terrains.

Keywords：hydrodynamicodel;finitevolumemethod;HLLaproximateRiemansolution;bifurcationpointsolution;mountaiourive

随着模型计算方法的发展和完善，一维河网水动力模型其在水文分析、洪水预报模拟及优化调度等水利领域应用广泛[1-4]。（剩余7910字）