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
To draw the schematic diagram, the locations and types of special features in the stream system must be identified. Once the schematic diagram has been drawn, the flow paths must be labeled. The end nodes of a flow path have a special status because they connect the flow path to the rest of the stream system. A flow-path end node defines the end of the flow path. Each flow-path end node is labeled. A labeled schematic diagram is the basis for describing the various connections of the stream system as modeled in FEQ. The schematic diagram also defines how all parts of the stream system are to be modeled with the mathematical relations available in FEQ and the companion utility program, Full Equations Utilities (FEQUTL) (D. D. Franz and C. S. Melching, 1997).
chapA map of an example stream system is shown in figure 2, and a sample schematic for this stream system is shown in figure 3. Each special feature has been isolated and the flow paths begin and end with a flow-path end node. Some of the flow-path end nodes on branches have been labeled in figure 3. The rule for labeling is very simple: The upstream flow-path end node on a branch is denoted by the letter "U" followed by the branch number, and the downstream flow-path end node is denoted by the letter "D" followed by the branch number. Because the rule is simple and is tied to the branch number, labels for flow-path end nodes are commonly omitted on branches in the FEQ schematic. The nodes on a levelpool-reservoir flow path or on a dummy-branch flow path must be labeled. The label is formed by the letter "F" followed by a number chosen by the user, as defined below. The stream system shown in figure 2 includes two run of the river dams that are represented by branches in FEQ simulation, as illustrated in figure 3.