简介:Thesimulationofaone-dimensionalrivernetworkneedstosolvetheSaint-Venantequations,inwhichthevariableparametersnormallyhaveasignificantinfluenceonthemodelaccuracy.ATrial-and-Errorapproachisamostcommonlyadoptedmethodofparametercalibration,however,thismethodistime-consumingandrequiresexperiencetoselecttheappropriatevaluesofparameter.Consequently,simulatedresultsobtainedviathismethodusuallydifferbetweenpractitioners.ThisarticlecombinesahydrodynamicmodelwithanintelligentmodeloriginatedfromtheGeneticAlgorithm(GA)technique,inordertoprovideanintelligentsimulationmethodthatcanoptimizetheparametersautomatically.Comparedwithcurrentapproaches,themethodpresentedinthisarticleissimpler,itsdependenceonfielddataislower,andthemodelaccuracyishigher.Whentheoptimizedparametersaretakenintothehydrodynamicnumericalmodel,agoodagreementisattainedbetweenthesimulatedresultsandthefielddata.
简介:Existingfarfieldexpressionsofsecondorderpotentialsarebynomeanscomplete.Hencetherehasbeennoexactfarfieldexpressionofsecondorderpotentials.InthispaperthefarfieldexpressionforΦd(2)ispurposelyavoidedindeducingtheformulaeofsecondorderforcesandaseriesoffunctionsΦdRnareused.Thefarfieldexpressionofisgiven,whichfor(x,U,z)∈Σ,φdRn(2)φd(2).Usingthesepropertiesformulaeforcalculatingsecondorderdiffractionforcesareobtained.Tocalculatetheintegral∫∫1/gfΨdsitisdividedintotwoparts.Oneistheintegraloverafinitedomainandthefunctionundertheintegraliscontinuous,sotheusualapproximateintegrationformulaemaybeused.Theotheristheintegraloveraninfinitedomain.Usingthefarfieldexpressionoffirstorderpotentials,formulaeforcalculatingtheintegraltomeetgivenaccuraciesaregiven.Themooringforceinsurgedirectionisusedforcomparisonbetweennumericalpredictionsandexperimentalmeasurements.Thepredictedresultsarecheckedagainstthemeasuredvalueinaspeciallydesignedtest.Inthelowfrequencydomainofinterest,themooringforcesinsurge,forcalculatedandexperimentalspectraareingoodconsistencysolongasthedampingcoefficientsischoosenappropriately.
简介:Thispaperdealswiththeproblemofdeterminingtwounknownparametersofsomenonlinearreaction-diffusionmodels.Thesereaction-diffusionmodelsarederivedfromapplicationsinthegroundwaterflowtransport,environmentalsciences,gasdynamics,heatandmasstransfer,industrialautomatizationandsomeotherengineeringtechnologicalfields.Theadjointmethodbasedonthevariationalprincipleisarelativelynewoptimalcontrolmethod.Itisusedintheidentificationoftheunknowndiffusioncoefficient,andsomecoefficientsofthenonlinearsinkorsourcetermsinthesesystems.Atfirst,theproblemistransferredintoanoptimizationproblemofminimizingafunctional,andtheadjointequationsofthegoverningequationsarederivedfromtheadjointmethod.Then,theformulasaregiventocalculatethegradientoftheobjectivefunctionwithrespecttothecoupleofunknownparameters.Atlast,aniterativegradient-basedoptimizationalgorithmispresentedforsolvingtheoptimizationproblem.Anumericalexampleisofferedintheend.Itshowstheeffectivenessoftheproposedapproach.
简介:Channelfrictionisanimportantparameterinhydraulicanalysis.AchannelfrictionparameterinversionmethodbasedonKalmanFilterwithunknownparametervectorisproposed.Numericalsimulationsindicatethatwhenthenumberofmonitoringstationsexceedsacriticalvalue,thesolutionishardlyaffected.Inaddition,KalmanFilterwithunknownparametervectoriseffectiveonlyatunsteadystate.Forthenonlinearequations,computationsofsensitivitymatricesaretime-costly.Twosimplifiedmeasurescanreducecomputingtime,butnotinfluencetheresults.Oneistoreducesensitivitymatrixanalysistime,theotheristosubstituteforsensitivitymatrix.
简介:Thisworkaimstoinvestigatetheeffectsofdosingregimentsondrugdeliveryinsolidtumorsandtovalidatethemwithexperimentsonrats.Thelumpedparametermodelsofpharmacokineticsandofdrugdeliveryintumorweredevelopedtosimulatetimecoursesofaveragedrugconcentration(Ct)oftumorinterstitiumintwotypesofdosingregiments(i.e.,single-shotandtriple-shotones).Thetworegimentswereperformedviaantitumordrug,hydroxycamptothecin(HCPT),onrats,tomeasurethedrugconcentrationinthetumor.Thesimulationsofthedrugconcentrationinthetumorofthetwodosingregimentswereconductedandcomparedwiththeexperimentaldataonrats.Thecoefficientsinthemodelswereinvestigated.Itisconcludedthatthetriple-shotmethodismoreeffectivethanthatofsingle-shotinjection.Thepresentlumped-parametermodelisquantitativelycompetentfordrugdeliveryinsolidtumor.