For a condition where infiltration rate is less than rainfall intensity (ponding occurs), write a few...
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For a condition where infiltration rate is less than rainfall intensity (ponding occurs), write a few lines of Matlab code to use Newton's method to solve the cumulative infiltration equation (F.): YAO + F F = F-1 + YA0 In + K-At Note that the solution of F; using Newton's method is done through iteration (4 iterations should be sufficient to provide an adequate answer) and you will thus have to use a FOR loop in Matlab. The general format of the Newton's equation for this case is: g(Fem) Fen+1 = Fen g(Fen) Test your Matlab code by using the following parameters and values: • Assume a Loamy Sand soil (Table 2) • Time step = 15 minutes • S, = 0.45 and Ae = (1 – S)e, (see class notes for details ) • Use F-1 = 1 cm as your input cumulative infiltration value from the previous time period. You can also use this same value as the starting point for your Newton's method iteration. In your assignment: Give the function g(F,) that you are finding a root for using Newton's method. Give the derivative g'(F.) of the function g(F) that you are finding a root for using Newton's method. Provide the value for F, as specified above. For a condition where infiltration rate is less than rainfall intensity (ponding occurs), write a few lines of Matlab code to use Newton's method to solve the cumulative infiltration equation (F.): YAO + F F = F-1 + YA0 In + K-At Note that the solution of F; using Newton's method is done through iteration (4 iterations should be sufficient to provide an adequate answer) and you will thus have to use a FOR loop in Matlab. The general format of the Newton's equation for this case is: g(Fem) Fen+1 = Fen g(Fen) Test your Matlab code by using the following parameters and values: • Assume a Loamy Sand soil (Table 2) • Time step = 15 minutes • S, = 0.45 and Ae = (1 – S)e, (see class notes for details ) • Use F-1 = 1 cm as your input cumulative infiltration value from the previous time period. You can also use this same value as the starting point for your Newton's method iteration. In your assignment: Give the function g(F,) that you are finding a root for using Newton's method. Give the derivative g'(F.) of the function g(F) that you are finding a root for using Newton's method. Provide the value for F, as specified above.
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Matlab code for the problem clc clear Clearing the command window and workspac... View the full answer
Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
Posted Date:
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