next up previous contents
Next: 39.7.2.8 Cabbeling Up: 39.7.2 Discretization Previous: 39.7.2.6 Biharmonic skew-diffusion

39.7.2.7 Cabbeling, thermobaricity, halobaricity, and partial cells

For cabbeling, thermobaricity, and halobaricity, it is necessary to compute the isoneutral diffusive flux of temperature and salinity. There is a subtle point in the calculation of this flux in the case of partial vertical cells. As discussed in Appendix C, the physical dimension of the diffusive flux is different depending on whether full or partial cells are employed. The different dimensions of the flux are irrelevant for the tracer equation, since it is the convergence which affects the time tendency, and the convergence does have the same dimension. For diagnosing cabbeling, thermobaricity, and halobaricity, however, the different dimensions introduces a problem. It turns out that the full cell discretization has the same dimension as the continuum formulation given above. Hence, for this diagnostic, the partial cell option will be ignored when computing cabbeling, thermobaricity, and halobaricity. This shortcoming only affects the values at the bottom model level. Note that the diagnosis of all other terms affecting locally referenced potential density properly take into account the partial cell option.


next up previous contents
Next: 39.7.2.8 Cabbeling Up: 39.7.2 Discretization Previous: 39.7.2.6 Biharmonic skew-diffusion
RC Pacanowski and SM Griffies, GFDL, Jan 2000