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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

10. Matrix Form of the System of Equations Describing the Network of Channels


Some simple examples are given here to illustrate the matrix form of the system of equations describing the network of channels. These examples increase in complexity to provide insight into the development of the Jacobian matrix for a complex stream system.
10.1 Example: Single Branch
10.2 Example: Two Branches With Overflow Dam
10.3 Example: Three-Branch Junction
10.4 Example: Four Branches with Loop

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