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Looks like your connection to HydroGeoSphere Community was lost, please wait while we try to reconnect. The surface flow equation is solved on a 2-D finite-element mesh stacked upon a subsurface grid when solving for both domains (i. HydroGeoSphere’s surface water flow component is implemented with the following assumptions:
The surface flow components are solved by the following three equations, which are given by the following mass balance equation:
coupled with the momentum equations, neglecting inertia terms, for the x-direction:
and for the y-direction:
where
o
{\displaystyle \phi _{o}}
is the surface flow domain porosity,
h
o
{\displaystyle h_{o}}
is the water surface elevation,
v
x
o
{\displaystyle {\bar {v}}_{xo}}
and
v
y
o
{\displaystyle {\bar {v}}_{yo}}
are the vertically averaged flow velocities in the x and y directions,
d
o
{\displaystyle d_{o}}
is the depth of surface water flow,
{\displaystyle \Gamma _{o}}
is the internal fluid exchange, and
Q
o
{\displaystyle Q_{o}}
is the external fluid exchange. .