Gumiere, S. J., A.N. Rousseau, D.W. Hallema, P.-É. Isabelle. 2013. Development of VFDM: A riparian vegetated filter dimensioning model for agricultural watersheds. Canadian Water Resources Journal 38(3): 169-184. doi: 10.1080/07011784.2013.830372.
The text on the bottom of page 174 (bottom of the right column through the first three lines on the left column of page 175):
--------------------
The second step involves the calculation of flow depth h using Manning’s equation, solved iteratively using the Newton-Raphson method, which is formulated as follows:(11)
where h0 is an arbitrary flow depth, starting from which the Newton-Raphson algorithm calculates progressively better estimates of the flow depth (h) passing through the vegetation cover for a given flow rate until a convergence threshold is reached;
--------------------
should be replaced by the following text
--------------------
The second step involves the calculation of flow depth h using Manning’s equation, solved iteratively using Newton-Raphson method (Mays 2010), which is formulated for a rectangular shaped channel as follows:(11a)
where(11b)
where hi+1 is the value of h at next iteration, which is an improvement of the initial guess hi, and Qi is the channel discharge calculated using results from the previous iteration for water depth. Q is the discharge simulated by HYDROTEL model. The iteration continues until the desired accuracy is achieved.
--------------------
Mays, L. W. 2010. Water resources engineering, 2nd Edition, Wiley India Pvt. Limited, 890 pp.