Cell Hydraulic Properties

The hydrodynamic model requires two hydraulic property tables at cells:

Cumulative or total horizontal wetted cell area $\begin{array}{l}A_i\end{array}$
Cumulative or total cell volume $\begin{array}{l}\Omega_i\end{array}$

The curve A_i is piece-wise constant while $\begin{array}{l}\Omega _{i}\end{array}$ is piece-wise linear. The cell volume $\begin{array}{l}\Omega _{i}(\eta _{i})\end{array}$ are obtained by simple integration of A_i

1)	$\begin{array}{l}\Omega _{i}=\begin{cases} 0\,\,\,\,\mathrm{for}\,\,i=1\\ \Omega _{i-1}+(\eta _{i}-\eta _{i-1})A_{i-1}\,\,\,\mathrm{for}\,\,i>1 \end{cases}\right.\end{array}$

Similarly the area may be obtained from the cell volumes as

2)	$\begin{array}{l}A_{i}=\begin{cases}\frac{\Omega _{i+1}-\Omega _{i}}{\eta _{i+1}-\eta _{i}}\,\,\,\,\mathrm{for}\,i< n\\ A_{c}\,\,\,\,\,\,\,\mathrm{for}\,i=n \end{cases}\right.\end{array}$

It is noted that the A₁ is the minimum cell area even when the cell is completely dry.