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have been reported (Holly and Rahuel 1990; and others). A fullycoupled model is usually more stable than a decoupled model.However, establishing a fully coupled model requires solving all the flowand sediment transport equations offlowproblem
may
reduce
simultaneously. The nonlinearity the
efficiency
of
sediment
transportsimulation,which can be mathematically simplified to a linear problem. Inaddition,the time scales of flow and channel morphodynamic processes maybedifferent, especially in the case where bed load is dominant.Thereforefully coupling the flow and sediment transport may not becost-effective. Following Wu (1991) and Wu and Vieira (2002), the present modeladopts a “semicoupling” procedure, in which the flow calculationis
decoupledfromsedimentcalculation,butthethreecomponentsofthesediment module (sediment transport, bed change, and bedmaterial sorting) are solved in a coupled fashion. This semicoupling procedureis very stable and efficient computationally.
Governing Equations and BoundaryConditions Governing Equations of Open-ChannelFlow
The depth-integrated continuity and momentum equationsofopen-channel floware
wheret=time; x and y=horizontal Cartesian coordinates; h=flow depth; U
andV=depth-averaged flow velocities in x and y directions;
?s=water
surface elevation; g=gravitational acceleration; r=density of flow;Txx, Txy, Tyx, andTyy=depth-averaged turbulent stresses;
shear stresses that are determinedby
;
and
, in which n=Manning’s
??bx and ??by=bed
roughness coefficient and w=bed angle with thehorizontal.
The turbulent shear stresses are determined by theBoussinesq’s assumption
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