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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

Three arguments are required to represent flow through a variable gate where flow may submerge the gate opening: the water levels upstream and downstream from the gate and the gate setting. Relations are approximated in FEQ simulation with a series of 2-D tables of type 13. Each of these tables is computed for a fixed gate setting. A table of type 15, with the gate setting as the argument, lists the table number for the two-dimensional table for each gate setting and key values of head conditions used to define the state of flow through the gate. Linear interpolation is used for those key values. Together with the pair of table numbers that bracket the gate setting, the key values are then used to determine the flow from the pair of 2-D tables. Interpolation between these tables is discussed in Franz and Melching (1997).

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