35.1.5.2 Meridional isoneutral diffusion flux

The component of the isoneutral diffusive flux through the northern face of a T cell $diff\_fnt^{iso}_{i,k,j}$ for the full Redi tensor is given by

$$-F^{y}_{i,k,j} = \diff\_fnt^{iso}_{i,k,j} = \cos\phi^{U}_{j} \; K^{22 \; small} \; \delta_{y}T_{k,j}$$

$${\cos\phi^{U}_{j} \; \over 4 \cos\phi^{T}_{j} } \sum_{kr=0}^{1} \... ...kr,j)}_{(i,k,j)} \sum_{jq=0}^{1} Ay^{(k,j+jq)}_{(k,j \vert k-1+kr,j+jq)} \times$$ +

$$\left( Sy^{(k,j+jq)}_{(k,j \vert k-1+kr,j+jq)} \; \delta_{z}T_{k-1+kr,j+jq} \right).$$ (35.5)

where the diagonal component to the small angle isoneutral diffusion tensor is given by

$$K^{22 \; small}_{i,k,j} {1 \over 4 \cos\phi^{T}_{j} } \sum_{kr=0}^{1} \sum_{jq=0}^{1} \le... ...ta^{(i,k-1+kr,j)}_{(i,k,j)} \; Ay^{(k,j+jq)}_{(k,j \vert k-1+kr,j+jq)} \right).$$ = (35.6)

The contribution of this flux to the diffusion operator is given by

$$R^{y}(T)_{i,k,j} = \left({1 \over dht_{i,k,j}} \right) \left( { \delta_{y} (\diff\_fnt^{iso}_{i,k,j-1}) \over \cstj } \right)$$ (35.7)

Note that certain irrelevant longitudinal i labels were omitted for brevity.