Difference between revisions of "Biharmonic"
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<math>\kappa_4 \sim \frac{U}{16} \Delta x^3</math> | <math>\kappa_4 \sim \frac{U}{16} \Delta x^3</math> | ||
| + | |||
| + | where U is a typical flow velocity and <math>\Delta x</math> is the numerical model horizontal resolution. | ||
==References== | ==References== | ||
Delhez, E., & Deleersnijder, E. (2007). Overshootings and spurious oscillations caused by biharmonic mixing. | Delhez, E., & Deleersnijder, E. (2007). Overshootings and spurious oscillations caused by biharmonic mixing. | ||
Ocean Modelling, 17(3), 183-198. doi: 10.1016/j.ocemod.2007.01.002. | Ocean Modelling, 17(3), 183-198. doi: 10.1016/j.ocemod.2007.01.002. | ||
Revision as of 14:18, 28 June 2011
The biharmonic coefficient is an extra term that is added to the horizontal turbulent viscous flux, J:
A ready made formula that would estimate the order of magnitude of the k_4 coefficient would be
where U is a typical flow velocity and 
is the numerical model horizontal resolution.
References
Delhez, E., & Deleersnijder, E. (2007). Overshootings and spurious oscillations caused by biharmonic mixing. Ocean Modelling, 17(3), 183-198. doi: 10.1016/j.ocemod.2007.01.002.
