Now that the various isoneutral mixing schemes and model options have been summarized, the following sections provide more details and discussions. First, this section quotes the discretized isoneutral diffusion flux in the special case of the small angle approximation (the default option small_tensor). Complete details for the derivation and explanation of the labels are presented in Griff ies et al. (1998) and Appendix C. The results for the full tensor are provided there as well.
Note that the discretizations given below for all the isoneutral mixing schemes assume the use of MOM's default grid construction. The desired numerical properties are rigorously not maintained for the grid option centered_t which always centers grid points within T-cells as in MOM 1. However, preliminary idealized tests (flat bottom) indicate no problem using option centered_t. Additionally, the isoneutral mixing schemes have been coded for either the full or partial vertical cells (see Chapter 26 for details of the partial vertical cells).