Difference between revisions of "Biharmonic"
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(New page: The biharmonic coefficient <math>\mathrm{J} = -\mathrm{K}\cdot \nabla C + \nabla_{h}\left( \kappa_4 \nabla_{h}^2 C \right) </math> ==References== Delhez, E., & Deleersnijder, E. (2007)....) |
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| − | The biharmonic coefficient | + | The biharmonic coefficient is an extra term that is added to the horizontal turbulent viscous flux, '''J''': |
<math>\mathrm{J} = -\mathrm{K}\cdot \nabla C + \nabla_{h}\left( \kappa_4 \nabla_{h}^2 C \right) </math> | <math>\mathrm{J} = -\mathrm{K}\cdot \nabla C + \nabla_{h}\left( \kappa_4 \nabla_{h}^2 C \right) </math> | ||
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| + | A ready made formula that would estimate the order of magnitude of the k_4 coefficient would be | ||
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| + | <math>\kappa_4 \sim \frac{U}{16} \Delta x^3</math> | ||
==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 14:17, 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
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.
