Model Formulation
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- | where ''x'',''y'', and ''z'', are the east, north, and vertical axes in the Cartesian coordinate system; ''u'',''v'', and ''w'' are the ''x'', ''y'',and ''z'' velocity components; ''θ'' is the potential temperature; ''s'' is the salinity; ''ρ'' is the density; ''P'' is the pressure; ''f'' is the [http://en.wikipedia.org/wiki/Coriolis_frequency Coriolois parameter]; ''g'' is the gravitational acceleration; '' | + | where ''x'',''y'', and ''z'', are the east, north, and vertical axes in the Cartesian coordinate system; ''u'',''v'', and ''w'' are the ''x'', ''y'',and ''z'' velocity components; ''θ'' is the potential temperature; ''s'' is the salinity; ''ρ'' is the density; ''P'' is the pressure; ''f'' is the [http://en.wikipedia.org/wiki/Coriolis_frequency Coriolois parameter]; ''g'' is the gravitational acceleration; ''$K_m$'' is the vertical eddy viscosity coefficient; and ''K_h'' is the thermal vertical eddy |
Revision as of 04:19, 10 November 2011
Primitive Equations
The governing equations consist of the following momentum, continuity, temperature, salinity, and density equations:
ρ = ρ(θ,s)
where x,y, and z, are the east, north, and vertical axes in the Cartesian coordinate system; u,v, and w are the x, y,and z velocity components; θ is the potential temperature; s is the salinity; ρ is the density; P is the pressure; f is the Coriolois parameter; g is the gravitational acceleration; $K_m$ is the vertical eddy viscosity coefficient; and K_h is the thermal vertical eddy