Standard step method: Difference between revisions

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[[File:NewtonRaphsonMethod.jpg|NewtonRaphsonMethod]]
 
 
Computer programs like excel contain iteration or goal seek functions that can automatically calculate the actual depth instead of manual iteration.
 
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'''Step 5:''' Combine the results from the different profiles and display.
 
[[File:SurfaceUpstream Water ProfilesSurface (Calculated)Profile.jpg|Surface Water Profiles650px|Profile (Calculated)upstream]]
 
[[File:Downstream Water Surface Profile.jpg|650px|Profile downstream]]
 
Normal depth was achieved at approximately 2,200 meters upstream of the gate.
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The first two figures below are the upstream and downstream water surface profiles modeled by HEC-RAS. There is also a table provided comparing the differences between the profiles estimated by the two different methods at different stations to show consistency between the two methods. While the two different methods modeled similar water surface shapes, the standard step method predicted that the flow would take a greater distance to reach normal depth upstream and downstream of the gate. This stretching is caused by the errors associated with assuming average gradients between two stations of interest during our calculations. Smaller dx values would reduce this error and produce more accurate surface profiles.
 
[[File:HEC-RAS OutputModle 2Upstream gate.jpg|650px|HEC-RAS Output 2upstream]]
 
 
[[File:HEC-RAS model Downstream of gate with jump.jpg|650px|HEC-RAS Downstream]]
 
The HEC-RAS model calculated that the water backs up to a height of 9.21 meters at the upstream side of the sluice gate, which is the same as the manually calculated value. Normal depth was achieved at approximately 1,700 meters upstream of the gate.
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HEC-RAS modeled the hydraulic jump to occur 18 meters downstream of the sluice gate.
 
 
[[File:Tabularcomparison.jpg|Tabularcomparison]]
[[File:Water Surface Elevation Table.jpg|500px|Elevation Table]]