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Full Equations (FEQ) Model for the Solution of the Full, Dynamic Equations of Motion for One-Dimensional Unsteady Flow in Open Channels and Through Control Structures

U.S. GEOLOGICAL SURVEY WATER-RESOURCES INVESTIGATIONS REPORT 96-4240

6.2 Equations of Motion Options


Equations 47 and 63 are the most general form for a branch in FEQ; however, four options for the governing equations for a branch are available. In the simplest option, denoted by STDX, the weight coefficients for curvilinearity are assumed to always be equal to 1. In the second option, denoted by STDW, a special user-controlled variable weight for certain distance integrals is added to the equations applied in STDX. This variable weight is important for simulating shallow flows. In the third and fourth options, STDCX and STDCW, the weights to account for channel curvilinearity are added to the previous two options. These options can be selected on a branch basis. The discussion below will be for the most general option, STDCW, because the other options correspond to special values of selected coefficients. These equations are solved approximately by converting them to algebraic equations using approximate integration over a computational element.


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