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How is the St Venant Equation Solved for in the Dynamic Wave Solution of SWMM 5?

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Subject:    How is the  St   Venant   Equation   Solved  for in the  Dynamic   Wave   Solution  of  SWMM   5 ? An explanation of the four  St .  Venant  Terms in  SWMM   5  and how they change for Gravity Mains and Force Mains. The HGL is the water surface elevation in the upstream and downstream nodes of the link. The HGL for a full link goes from the pipe crown elevation up to the rim elevation of the node + the surcharge depth of the node.  The four terms are: dq2  = Time Step * Awtd * (Head Downstream – Head Upstream) / Link Length or dq2  = Time Step * Awtd * ( HGL ) / Link Length Qnew  = (Qold – dq2 + dq3 + dq4) / ( 1 + dq1) when the force main is full dq3 and dq4 are zero and Qnew  = (Qold – dq2) / ( 1 + dq1) The  dq4  term in  dynamic .c uses the area upstream ( a1 ) and area downstream ( a2 ), the midpoint velocity, the sigma factor (a func...

How is the St Venant Equation Solved for in the Dynamic Wave Solution of SWMM 5?

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Subject:    How is the St Venant Equation Solved for in the Dynamic Wave Solution of SWMM 5? An explanation of the four St. Venant Terms in SWMM 5 and how they change for Gravity Mains and Force Mains. The HGL is the water surface elevation in the upstream and downstream nodes of the link. The HGL for a full link goes from the pipe crown elevation up to the rim elevation of the node + the surcharge depth of the node.  The four terms are: dq2   = Time Step * Awtd * (Head Downstream – Head Upstream) / Link Length or dq2   = Time Step * Awtd * ( HGL ) / Link Length Qnew   = (Qold – dq2 + dq3 + dq4) / ( 1 + dq1) when the force main is full dq3 and dq4 are zero and Qnew   = (Qold – dq2) / ( 1 + dq1) The  dq4  term in dynamic.c uses the area upstream ( a1 ) and area downstream ( a2 ), the midpoint velocity, the sigma factor (a function of the link Froude number), the link length and the time step or dq4  = Time Step * Velocity * Velocity ...

How is the St Venant Equation Solved for in the Dynamic Wave Solution of SWMM 5?

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Subject:   How is the St Venant Equation Solved for in the Dynamic Wave Solution of SWMM 5? How is the St Venant Equation Solved for in the Dynamic Wave Solution of SWMM 5? by  dickinsonre Subject:    How is the St Venant Equation Solved  for in the Dynamic Wave Solution of S WMM 5? An explanation of the four St. Venant Terms in SWMM 5 and how they change for Gravity Mains and Force Mains. The HGL is the water surface elevation in the upstream and downstream nodes of the link. The HGL for a full link goes from the pipe crown elevation up to the rim elevation of the node + the surcharge depth of the node.  The four terms are: dq2  = Time Step * Awtd * (Head Downstream – Head Upstream) / Link Length or dq2  = Time Step * Awtd * ( HGL ) / Link Length Qnew  = (Qold – dq2 + dq3 + dq4) / ( 1 + dq1) when the force main is full dq3 and dq4 are zero and Qnew...