CMS-Flow:Hydro Eqs: Difference between revisions

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         <math> \frac{\partial ( h u_i ) }{\partial t} + \frac{\partial (h u_i u_j )}{\partial x_j}
         <math> \frac{\partial ( h u_i ) }{\partial t} + \frac{\partial (h u_i u_j )}{\partial x_j}
- \epsilon_{ij3} f_c u_j h = g \frac{\partial \eta }{\partial x_j}
- \epsilon_{ij3} f_c u_j h = g h \frac{\partial \eta }{\partial x_j}
  + \frac{1}{\rho_0} \frac{\partial p_a }{\partial x_j}
  + \frac{h}{\rho_0} \frac{\partial p_a }{\partial x_j}
+ \frac{\partial }{\partial x_j} \biggl[ \nu_t  h \frac{\partial u_i }{\partial x_j} \biggr ]
+ \frac{\partial }{\partial x_j} \biggl[ \nu_t  h \frac{\partial u_i }{\partial x_j} \biggr ]
  + \frac{\tau_i }{\rho}
  + \frac{\tau_i }{\rho}

Revision as of 22:58, 14 May 2010

Governing Equation

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

        

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
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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