CMS-Flow:Boundary Conditions

Tidal Constituent

The water level predictions are based on a harmonic equation with several arguments

$\eta (t)=\sum _{i=1}^{N}f_{i}A_{i}\cos(\omega _{i}t+V_{i}^{0}+u_{i}-\kappa _{i})$

(1)

where $A$ is the constituent mean amplitude, $f$ is a factor that reduces the mean amplitude and varies in time, $V_{0}+u$ are the constituents equilibrium phase and $\kappa$ is the constituent phase lag or epoch.

Flux

The water flux is specified as m^3/sec per cell along the cell string. This value is multiplied by the number of cells in the cell string to obtain the total flux. The total flux is then redistributed along the boundary according to

$q_{i}={\frac {Q_{b}}{\sum _{i=1}^{N}\Delta s_{i}h_{i}^{1+r}/n_{i}}}{\frac {h_{i}^{1+r}}{n_{i}}}$

(2)

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Symbol	Description
$t$	Time
$A$	Constituent mean amplitude
$f$	Constituent nodal factor
$V^{0}$	Constituent equilibrium argument
$u$	Constituent equilibrium argument
$\kappa$	Constituent phase or epoch

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