WVVerticalDiffusivity

Vertical diffusivty

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Declaration

WVVerticalDiffusivity < WVForcing

Overview

This forcing applies a vertical diffusivity with fixed \(\kappa_z\) to the thermodynamic equation.

The specific form of the forcing is given by

\[\begin{align} \mathcal{S}_u &= 0 \\ \mathcal{S}_v &= 0 \\ \mathcal{S}_w &= 0 \\ \mathcal{S}_\eta &= \kappa_z \frac{\partial^2 \eta}{\partial z^2} - \kappa_z \frac{\partial}{\partial z} \ln N^2 \end{align}\]

Upon initialization you can set shouldForceMeanDensityAnomaly to false and the \(\frac{\partial}{\partial z} \ln N^2\) term will be neglected.

Usage

Assuming there is a WVTransform instance wvt, to add this forcing,

wvt.addForcing(WVVerticalDiffusivity(wvt, kappa_z=1e-6));

Notes

This is currently implemented in the spatial domain.

Topics

• Initialization
  • WVVerticalDiffusivity initialize the WVVerticalDiffusivity
• Properties
  • dLnN2 precomputed dLnN2 term
  • kappa_z vertical diffusivity, \(m^2s^{-1}\)
  • shouldForceMeanDensityAnomaly whether to include the \(\frac{\partial}{\partial z} \ln N^2\) term
• CAAnnotatedClass requirement
  • classRequiredPropertyNames Returns the required property names for the class

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