Standard step method: Difference between revisions

Revision as of 19:27, 24 April 2013

Revision as of 19:30, 24 April 2013

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'''Step 4:''' Use the Newton Raphsom Method to solve the M1, M2, and M3 surface water profiles. The solution presented explains how to solve the problem in a spreadsheet, explaining how to calculate values column by column. Note, only calculations for the M1 profile will be shown below. <br /><br />

[[File:STM Method (Step 4).jpg|STM Method (Step 4)]]<br /><br />

[[File:TableSTM of calculated values (STM)Calc.jpg|TableSTM of calculated values (STM)Calc]]<br /><br />

'''Step 5:''' Combine the results from the different profiles and display. <br /> <br />

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:<math>Q = C_s*b*y_g*(2*g*H_{T,1})^{1/2}</math> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <big>'''Sluice Gate Equation'''</big><br /><br />

There are three figures below illustrating the “steady flow” HEC-RAS results. The first figure is a graphical output directly from HEC-RAS, showing the surface water profile of the modeled reach. The next two figures are comparing the surface water profiles developed by HEC-RAS and the STM calculation method. There is good agreement between HEC-RAS and the STM method, except for the M3 profile just downstream of the sluice gate. While HEC-RAS can model both subcritical and supercritical flows within the same reach, the did not produce an M3 Profile in this instance. <br /><br />

[[File:HEC-RAS Output 2.jpg|HEC-RAS Output 2]]

[[File:Tabularcomparison.jpg|Tabularcomparison]]