36.2.1 Formulation

Let nxland be the number of water column pairs to be mixed. For each pair ``nxl'', the ``i,jrow'' coordinates are given by `` ixland(nxl,1), jxland(nxl,1)'' and `` ixland(nxl,2), jxland(nxl,2)''. Between each pair, mixing takes place from level ``kxland(nxl,1)'' to level ``kxland(nxl,2)''. When one of these ``i,jrow'' coordinates is encountered in the memory window, the source term for each tracer is modified as follows:

For all k-levels k = kxland(nxl,1) through kxland(nxl,2)

$$source_{i,k,j} + bxland_{nxl}\cdot ( t_{i_{there},k,j_{there},n,\tau-1} - t_{i,k,j,n,\tau-1} )$$ source_i,k,j = (36.3)

$${vxland(nxl) \over \sum_{k=kxland(nxl,1)}^{kxland(nxl,2)} \cos\phi^T_{jrow} \; dxt_i \; dyt_{jrow} \; dzt_k }$$ bxland_nxl = (36.4)

where i_there, j_there represents the ``i,j'' coordinates of the other point in the nxl^th mixed pair within the memory window.