CMS-Flow:Hydro Eqs

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Governing Equation

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

        ht+(huj)xj=S

for j=1,2

        (hui)t+(huiuj)xjϵij3fcujh=ghηxj+hρ0paxj+xj[νthuixj]+τiρ  

for i=1,2 and j=1,2

Symbol Description Units
t Time sec
h Total water depth h=ζ+η m
ζ Still water depth m
η Water surface elevation with respect to the still water elevation m
uj Current velocity in the jth direction m/sec
uj Current velocity in the jth direction m/sec
S Sum of Precipitation and evaporation per unit area m/sec
g Gravitational constant m/sec2
ρ Water density kg/m3
pa Atmospheric pressure Pa
νt Turbulent eddy viscosity m2/sec




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