WVVerticalDamping

Vertical viscosity and diffusivity

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Declaration

WVVerticalDamping < WVForcing

Overview

The damping is designed to mimic the VerticalScalarDiffusivity in Oceananigans to allow for direct comparison between the models. This is intended be used in combination with WVHorizontalDamping. In general, you should be using the WVAdaptiveDamping.

The specific form of the forcing is given by

\[\begin{align} \mathcal{S}_u &= \nu \frac{\partial^2 u}{\partial z^2} \\ \mathcal{S}_v &= \nu \frac{\partial^2 v }{\partial z^2} \\ \mathcal{S}_w &= \nu \frac{\partial^2 w}{\partial z^2} \\ \mathcal{S}_\eta &= \kappa \frac{\partial^2 \eta}{\partial z^2} - \kappa \frac{\partial}{\partial z} \ln N^2 \end{align}\]

with viscosity, \(\nu\), and diffusivity, \(\kappa\). This should be combined with WVHorizontalDamping for a complete closure. For help choosing appropriate values, see the notes in WVAdaptiveDamping.

Usage

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

wvt.addForcing(WVVerticalDamping(wvt,nu=5e-4, kappa=1e-6));

Notes

This is currently implemented in the spatial domain, an is thus highly un-optimized.

Topics

• Initialization
  • WVVerticalDamping initialize the WVVerticalDamping
• Properties
  • dLnN2 variable stratification factor
  • kappa vertical diffusivity
  • nu vertical viscosity
• CAAnnotatedClass requirement
  • classRequiredPropertyNames Returns the required property names for the class

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