Source and Sink Term

The source and sink term contains the sum of internal sediment sources and sinks due to internal boundary conditions S_tk^IB and surface runoff S_tk^SR. These include structures such as culverts and gates as well as surface runoff.

1)	$\begin{array}{l}\displaystyle S_{tk} = S_{tk}^{IB}+ S_{tk}^{SR}\end{array}$

where

$\begin{array}{l}{S_{tk}}^{IB}\end{array}$ = source/sink due to internal boundary conditions such as structures [M/L²/T]

$\begin{array}{l}{S_{tk}}^{SR}\end{array}$ = source due to surface runoff [M/L²/T]

The surface runoff contributes water and sediment to the hydraulically wet portion of wet cells. Currently, the model assumes that the eroded sediment from the hydraulically dry portion of cells is transported instantly to the wet portion of cell without any storage effects.

2)	$\begin{array}{l}\displaystyle {S_{tk}}^{SR}{A_P}^W = {E_{tk}}^{SS}{A_P}^D\end{array}$

where

$\begin{array}{l}{A_P}^W\end{array}$ = cell wet area [L²]

$\begin{array}{l}{A_P}^D\end{array}$ = cell dry area [L²]

$\begin{array}{l}E_{tk}^{SS}\end{array}$ = sheet and splash erosion [M/L²/T]