zp Isomorphism

1
z-p Isomorphism
Ocean (z coordinates)
Atmosphere (p coordinates)
z ? p
dtv f ? v ?zP/?o F g? ?zP 0 ?hv
?zw 0 dt? Q dts S ?t ? ?(?
H)v P-E
dtv f ? v ?p? F ? ?p ? 0 ?pv ?p?
0 dt? Q dtq S ?t ps ?psv 0
P ? ?
? ? ?
w ? ?
?
s ? q
?H ? ps
PPa
z?(x,t)
?0
p0
z0
?
P
z
p
z-H(x)
w0
? ?s(x)
pps(x,t)
2
Bottom pressure anomaly
Martin Losch
Non-Boussinesq pressure coordinates
Boussinesq height coordinates
3
Non-Boussinesq/Non-hydrostatic
Difference between Hydrostatic models Non-Boussin
esq (p)-Boussinesq (z)
Difference between height coordinate
models Non-hydrostatic - Hydrostatic
4
Size of non-hydrostatic effects
P PS PH PNH
PNH at z-270 m
Zonal mean PNH