SEDLOB and PATLOB
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2.4
Model Equations of SEDLOB
In the following section, the equations of the 3-D and 2-D submodels are listed
separately. The symbols and units used are listed in the Appendix. For the sake
of clarity, all equations are shown in Cartesian coordinates.
2.S
The Three-Dimensional Submodel of SEDLOB
The 3-D submodel of SEDLOB consists of a transport equation with a source
term Q (Bryan 1969; Dietrich et al. 1975; Eppel 1977/78; Fahrbach et al. 1989;
Gerdes 1988; Struve 1978; Tetzlaff and Harbaugh 1989)
dC = -V .(17C)+Q
dt
(1)
and a continuity equation (conservation of mass) for an incompressible medium
(and a continuity equation (conservation of mass) for an incompressible mediurn ( dpp / dt = 0) (ApelI987; Bryan 1969; Fahrbach et al.1989; Kurz 1977; Krau6
1973; LeBlond and Mysak 1978; Pond and Pickard 1986; Tetzlaff and Harbaugh
1989):
V.17 = du + dv + dw.
dx dy dz
(2)
The hydrostatic equation gives the local pressure p (Bryan 1969; Cox 1984;
Haupt 1990):
o
p(z) = Psurf + gf ppdz.
(3)
z
The nonlinear equation of state is given by the UNESCO formula (UNESCO
1981; see also Millero and Poisson 1981)
(4)
The settling velocity Ws of a single particle is calculated using the approximation given in Zanke (1977b)
Ws = ws(v,.u,d,pp,qJs,FF,g)
12v
(5)
d(2.7 -2.3FF)