CMS-Flow:Hydro Eqs: Difference between revisions

From CIRPwiki
Jump to navigation Jump to search
Line 4: Line 4:


         <math> \frac{\partial h  }{\partial t} + \frac{\partial (h U_j )}{\partial x_j} = S </math>
         <math> \frac{\partial h  }{\partial t} + \frac{\partial (h U_j )}{\partial x_j} = S </math>
{{Equation|1=e=m c^2\,|2=1}}


for  <math>  j=1,2  </math>
for  <math>  j=1,2  </math>

Revision as of 21:01, 18 May 2010

Governing Equation

The depth-averaged 2-D continuity and momentum equations are given by

        
  e=m c^2\, (1)

for

          

for and

Symbol Description Units
Time sec
Total water depth m
Still water depth m
Water surface elevation with respect to the still water elevation m
Current velocity in the jth direction m/sec
Sum of Precipitation and evaporation per unit area m/sec
Gravitational constant m/sec2
Water density kg/m3
Atmospheric pressure Pa
Turbulent eddy viscosity m2/sec

Documentation Portal