Horizontal/Vertical 2nd Order Tracer Diffusive Operators

or in expanded form:

Equation (B.2) is obtained from (B.1) without any additional assumption. Indeed, for the special case and thus , we introduce an arbitrary vertical coordinate as in Appendix A and use (A.1) and (A.2). Since no cross horizontal derivative appears in (B.1), the (,) and (,) planes are independent. The derivation can then be demonstrated for the (,) (,) transformation without any loss of generality:

Gurvan Madec and the NEMO Team

NEMO European Consortium2017-02-17