CMS-Flow:Hydro Eqs: Difference between revisions

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         <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>


{{<math> \frac{\partial h  }{\partial t}
{{NumBlk|| <math> \frac{\partial h  }{\partial t}
+ \frac{\partial (h U_j )}{\partial x_j} = S </math>|{{EquationRef|1}}}}
+ \frac{\partial (h U_j )}{\partial x_j} = S </math>|{{EquationRef|1}}}}



Revision as of 20:55, 18 May 2010

Governing Equation

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

        

Template:NumBlk

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

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