R. Feistei et al.: Oceanographic application and numerical implementation of TEOS-IO: Part 1
635
www.ocean-sci.net/6/633/2010/
Ocean Sei., 6, 633-677, 2010
Table 1. Hierarchy of thermodynamic potentials and their elementary constituents implemented in the library.
Potential
Level
Routine
Parent
System
Reference
f(T, p)
1
f lu.f.si
Primary
Fluid water
Sect. 2.1
8 lh (T, P)
1
ice_g_si
Primary
Ice Ih
Sect. 2.2
gi(T, P)
1
sal-g_term_si
Primary
Seawater
Eq. (2.2)
/V, p)
1
dry_f_si
Primary
Dry Air
Eq. (2.6)
Baw(T)
1
air_bawjn3mol
Primary
Humid Air
Sect. 2.4
Caww(T)
1
air_cawwjn6mol2
Primary
Humid Air
Sect. 2.4
Caaw(P)
1
air_caawjn6mol2
Primary
Humid Air
Sect. 2.4
g s (S A , T, P)
2
sal.g.si
gi
Seawater
Eq. (2.2)
/ mlx (A, T, p)
2
air_f jnix_si
B AW>
Caww,
Caaw
Humid Air
Eq. (2.13)
/ av (A, t, p)
2
air_f_si
/F /A> /mix
Humid Air
Eq. (2.7)
g w (T, P)
3
liq_g_si
/ F
Liquid water
Eq. (4.2)
g w (T, P)
3
vap_g_si
f
Water vapour
Eq. (4.3)
g sw (S A , T, P)
3
sea_g_si
g W , g S
Seawater
Eq. (4.4)
h sw (S A , /], P)
3
sea_h_si
^sw
Seawater
Eq. (4.5)
g ÄV (A, T, P)
3
air_g_si
f AW
Humid Air
Eq. (4.37)
h AW (A, r], P)
3
air_h_si
g AW
Humid Air
Eq. (4.40)
g sl (S sh T, P)
4
sea_ice_g_si
g SW ,g m
Seawater +
ice
Eq. (5.14)
g sv (S SV , T, P)
4
sea_vap_g_si
g SW , g W
Seawater
+ water
vapour
Eq. (5.30)
g AW (w A , T, P)
4
liq_air_g_si
g W ,g AW
Liquid water
+ humid air
Eq. (5.58)
Ä AW (uJa, r], P)
4
liq_air_h_si
g AW
Liquid water
+ humid air
Eq. (5.63)
g M (wA, T, P)
4
ice_air_g_si
g 1 * 1 , g AW
Ice
+ humid air
Eq. (5.73)
h M (w A , r], P)
4
ice_air_h_si
g Al
Ice
+ humid air
Eq. (5.78)
gW_F03(j^ p
5
f it_liq_g_f 03_si
Fit of / F
Liquid water
IAPWS (2009c)
g WJF97 (r> p)
5
f it_liq_g_if 97_si
Fit of / F
Liquid water
IAPWS (2007)
gVJF97^ />)
5
fit vap g if97 si
Fit of / F
Water vapour
IAPWS (2007)
library decided that the published molar equation can be con
verted to the mass-based form used here and in the planned
IAPWS document (IAPWS, 2010), and that this should be
implemented using the latest value for the molar mass of dry
air (Picard et al., 2008) rather than the originally published
one. For consistency with the IAPWS formulation, the molar
mass of dry air of the SIA library is updated in the SIA ver
sion 1.1, attached as a supplement to the companion paper
(Wright et al., 2010a), in contrast to the obsolete value used
in SIA version 1.0 which is consistent with the formulation
of Feistel et al. (2010a).
2 Level 1: Thermodynamic potentials - the primary
standard
As described in the related background articles, the vast
amount of quantitative information available from extensive
sets of experimental thermodynamic data for water, ice, sea
water and air is represented in a compact way by the em
pirical coefficients of only four independent functions, a
Helmholtz function f F (T,p) of fluid water referred to as
IAPWS-95 (IAPWS, 2009a; Wagner and PruG, 2002), a
Gibbs function g m (T,P) of ice, referred to as IAPWS-06
(IAPWS, 2009b; Feistel and Wagner, 2006), a Gibbs func
tion g s (Sa, T, P) of sea salt dissolved in water which is re
ferred to as IAPWS-08 (IAPWS, 2008a; Feistel, 2003, 2008),
and a Helmholtz function f A (T,p) for dry air (Lemmon et