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1、PENYELESAIANSOALRIEMANNDENGANPENDEKATANVOLUMEHINGGAUNTUKMASALAHGELOMBANGAIRDANGKALOleh:NugrohoWidiasmadiTheshallowwaterwave’sequationrepresentsrapidunsteadyflowfrequentlyattendedbyshockwaves.Forshockphenomena,theinfluenceofbottomfrictionmaybeassumedmarginal,asthebottomwidthwhereshock
2、arisesisrelativeryverythincomparedtothescaleoftheflowdomain.However,theenergylossacrosstheshockissignificant.Thisenergylossisattributedtotheinternalstresseswithintheverythininfinitesimalshockinterface.ForPracticalcomputation,thecontributionoftheinternalfrictionmaybeincorporatedinthew
3、allfriction,inotherwordstheinternalstressescanberepresentedasManningfrictionalresistance.Frictionseitherwallfriction,surfacefriction,orinternalfrictionbetweenfluidparticlesarethesourcesorsinksofmomentum.Strongsimplificationofmodelingofthefreesurfaceshallowflowsisnecessaryforthecomput
4、ersimulation.Thematerialonthebasisofshallowwatermodelsisessential,evenconsideringanumericalmethodofanykind,similartomostoftheshock-capturingnumericalmethodsontheutilisationoflocalRiemannproblemsolution,bothfortheexactorapproximate.HowevertheroleoftheRiemannproblemiswider.TheRiemannpr
5、oblemcanbeusefulintheoreticalstudiesofsimpleshalowwatermodels;itcanalsobeusedinconjuctionwithothernumericalsolution.Thisresearchdealswithshock-capturing,finitevolumenumericalmethods,particulardevotedtothedetailsofnumericalmethodsoftheshock-capturingtyfe.Somehypotheticaltestsaremodele
6、dasashallowwaterwaveequation,whichthereforecanbecastasRiemannProblem,solvedbyutilizingtheGounov’stypesolution.FinitevolumemethodsoftheGodunovtypeareusedforthepurposeofsolvingnumericallythetime-dependent,non-linearshallowwaterequations.Keywords:shallowwater,homogeneous,shock,sources,s
7、inks,Riemannproblem,finitevolume,shock-capturing,Godunov’stype.6DINAMIKAPELATPERKERASANKAKUDENGANTAHANANTEPISEMBARANGOleh:DouglasAbdullahBaadillaApartfromsolvingthedynamicvibrationproblemofarigidpavementplateduetotrafficload,thisdissertationalsoexamineanduseappropriateboundaryconditi
8、onsforthejoi
