A Generalization of a Sigma Coordinate Ocean Model
59
(14)
(15)
(16)
(17)
(18)
(19)
where now we detine
(20)
In
the
above,
'txy = AM(oUloy+ oVlox) , qTx = AH(oT)lox, qTy = AHoTloy and
qsx = AHoSlox, qSy = AHoSloy . Horizontal diffusion for q2 and q2[ is
the same form as that for T and S. We now note that the gradients on the right sides
of the momentum and scalar fluxes are reckoned along k surfaces. However, any
(simple) alternative, say, to transform so that gradients are taken along horizontal
or isopycnal surfaces, leads to problems in properly modeling the bottom boundary
layer (Mellor and Blumberg, 1985) and possibly the surf ace layer. In the case of
59
(14)
(15)
(16)
(17)
(18)
(19)
where now we detine
(20)
In
the
above,
'txy = AM(oUloy+ oVlox) , qTx = AH(oT)lox, qTy = AHoTloy and
qsx = AHoSlox, qSy = AHoSloy . Horizontal diffusion for q2 and q2[ is
the same form as that for T and S. We now note that the gradients on the right sides
of the momentum and scalar fluxes are reckoned along k surfaces. However, any
(simple) alternative, say, to transform so that gradients are taken along horizontal
or isopycnal surfaces, leads to problems in properly modeling the bottom boundary
layer (Mellor and Blumberg, 1985) and possibly the surf ace layer. In the case of