How to calculate richardson number
While trying to implement the (bulk and gradient) Richardson number, I have come across the following problem.
looking at the definition of bulk Richardson number Wiki:
R_{B} = \frac{(g/T_{v})\Delta\theta_{v}\Delta z}{(\Delta U)^2 + (\Delta V)^{2}}
this question arises of which value in a profile between z_{bottom}
and z_{top}
to choose for the T_{v}
:
- The Mean:
\Delta T_{v} / 2 = \frac{T_{v_{top}} + T_{v_{bottom}}}{2}
T_{v_{top}}
T_{v_{bottom}}
The same equation could be extended to the gradient Richardson number:
\mathrm{Ri} = \frac{\frac{g}{\theta_{v}}\frac{d\theta_{v}}{dz}}{(\mathrm{d}u/\mathrm{d}z)^2}
and how far (which \Delta z_{max}
) can the \theta_{v}(z)
value be to a local or a global gradient of \frac{d\theta_{v}}{dz}
?
Edited by hasan