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
The equations previously developed in sections 6 , 7, and 8 describe the flow and water-surface height in a network of open channels. The nature of the stream system and the choices made by the user determine which of the equations are included in a model stream system. Once selected, these equations must be solved simultaneously. The initial conditions define the flows and water-surface heights at some starting time. The unknowns are the flows and water-surface heights at the end of the next time step. At the end of the computations for this time step, the unknowns become the initial values for the following time step. Thus, the equations of motion are solved many times. To be useful, a computer program for simulation of unsteady flow in a network of channels must include an efficient means for solving a system of nonlinear equations.