xoa.sigma.ocean_s_coordinate

xoa.sigma.ocean_s_coordinate(sig, ssh, bathy, hc, thetas, thetab, cs=None, cs_type=None, cache=None)

Convert from s [-1, 0] to depths in an ocean model

Source:

Ocean s-coordinate

Formula:

\[ \begin{align}\begin{aligned}z & = \eta*(1+s) + h_c*s + (h-h_c)*C\\C & = (1-b)*\frac{\sinh(a*s)}{\sinh(a)} + b*\left[\frac{\tanh(a*(s+0.5))}{2*\tanh(0.5*a)} - 0.5\right]\end{aligned}\end{align} \]

Sigma standard name:

ocean_s_coordinate

Formula terms:

s: var1 eta: var2 depth: var3 a: var4 b: var5 depth_c: var6

Parameters

• sig (xarray.DataArray) – Sigma coordinates range from 0 to 1 (\(s\) | s)

• ssh (xarray.DataArray) – Surface air pressure (\(\eta\) | eta)

• bathy (xarray.DataArray) – Positive sea floor depth (\(h\) | depth)

• hc (xarray.DataArray) – Positive critical depth (\(h_c\) | depth_c)

• thetas (xarray.DataArray) – Surface control parameter (\(a\) | a)

• thetab (xarray.DataArray) – Bottom control parameter (\(b\) | b)

• cs (xarray.DataArray, None) – Stretching curve, which defaults to the formula above computed by get_cs() (\(C\) | C)

• cs_type (str, None) – Stretching type (see get_cs())

• cache (dict) – Dict variable that stores intermediate results to be used from call to call.

Returns

xarray.DataArray – Negative depth below surface in m (\(z\))