摘要
The mixed finite element(MFE) methods for a shallow water equation system consisting of water dynamics equations,silt transport equation,and the equation of bottom topography change were derived.A fully discrete MFE scheme for the discrete_time along characteristics is presented and error estimates are established.The existence and convergence of MFE solution of the discrete current velocity,elevation of the bottom topography,thickness of fluid column,and mass rate of sediment is demonstrated.
The mixed finite element(MFE) methods for a shallow water equation system consisting of water dynamics equations,silt transport equation,and the equation of bottom topography change were derived.A fully discrete MFE scheme for the discrete_time along characteristics is presented and error estimates are established.The existence and convergence of MFE solution of the discrete current velocity,elevation of the bottom topography,thickness of fluid column,and mass rate of sediment is demonstrated.
基金
theNationalNaturalScienceFoundationofChina ( 1 0 0 71 0 52
497762 83 )
the"PlanofHundredTalents"ofChineseAcademyofSciences
theNationalNaturalScienceFoundationofChinaforOutstandingYoungScientists ( 40 2 2 50 1 5)
theBeijingExcellentTalentSpecia
