?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F291%2F&rft.title=Time+domain+simulations+of+dynamic+river+networks&rft.creator=Lange%2C+Tony&rft.creator=Banda%2C+M.+K.&rft.creator=Ngnotchouye%2C+J.-M.+T.&rft.subject=None%2FOther&rft.description=The+problem+of+simulating+a+river+network+is+considered.+A+river+network+is+considered+to+comprise+of+rivers%2C+dams%2Flakes+as+well+as+weirs.+We+suggest+a+numerical+approach+with+specific+features+that+enable+the+correct+representation+of+these+assets.+For+each+river+the+flow+of+water+is+described+by+the+shallow+water+equations+which+is+a+system+of+hyperbolic+partial+differential+equations+and+at+the+junctions+of+the+rivers%2C+suitable+coupling+conditions%2C+viewed+as+interior+boundary+conditions+are+used+to+couple+the+dynamics.+A+different+model+for+the+dams+is+also+presented.+Numerical+test+cases+are+presented+which+show+that+the+model+is+able+to+reproduce+the+expected+dynamics+of+the+system.%0D%0A%0D%0AOther+aspects+of+the+modelling+such+as+rainfall%2C+run-off%2C+overflow%2Fflooding%2C+evaporation%2C+absorption%2Fseepage%2C+bed-slopes%2C+bed+friction+have+not+been+incorporated+in+the+model+due+to+their+specific+nature.&rft.date=2008&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F291%2F1%2Ftimedomainsimulations.pdf&rft.identifier=++Lange%2C+Tony+and+Banda%2C+M.+K.+and+Ngnotchouye%2C+J.-M.+T.++(2008)+Time+domain+simulations+of+dynamic+river+networks.++%5BStudy+Group+Report%5D+++++