How does the method in Problem compare with the kinematic wave routing method described in this chapter? What hydraulic conditions are necessary for kinematic wave assumptions to be valid for overland flow? What are advantages and disadvantages of using kinematic channel routing compared with solving the Saint Venant equations?
Problem
Develop a new flood routing method for rectangular cross sections based on the Muskingum and storage indication techniques. Instead of using the Muskingum storage equation S = f (K,x, I, Q), use Manning’s equation in the form where a and m are constants. Assume prismatic channel conditions at each time step, and derive the necessary equation for flood routing in a given rectangular channel with length L, inflows I1 and I2, channel width B, and outflows Q1 and Q2. Manning’s equation takes the form
Q = aym.
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