SWMM 5, InfoSWMM, H20MAP SWMM, InfoSewer for Water Quality,Hydrology, Hydraulics
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Robert Dickinson replied to Robert Dickinson's discussion How is the St Venant Equation Solved for in the Dynamic Wave Solution of SWMM 5?
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5 after 1 voteSWMM 3,4,5 uses a spatial step equal to the length of the link. Or, in terms of the 1D St. Venant Equation for the calculation of flow used in SWMM 5:

In which
is the length of the conduit.
The program will calculate the cross sectional area, hydraulic radius top width and depth at the upstream, midpoint and downstream sections of the link. The link solution is pivoted on the midpoint cross sectional area in the dominant dynamic wave terms
and 
and the non-linear term in the dynamic wave equation
uses the upstream and downstream link cross sectional areas. In the finite difference equation in SWMM 5 the pipe shown below would have one length but use the cross sectional information from the upstream, midpoint and downstream points of the link.
The bend in the pipe would be modeled using the "other" category of losses


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Permalink Reply by Robert Dickinson on December 27, 2008 at 3:59pm 




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