Model Formulation
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\frac{\partial P}{\partial z} = -\rho g | \frac{\partial P}{\partial z} = -\rho g | ||
</math> | </math> | ||
- | + | <math> | |
+ | \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} + \frac{\partial w}{\partial z} = 0 | ||
+ | </math> | ||
<math> | <math> | ||
\frac{\partial \theta}{\partial t} + u \frac{\partial \theta}{\partial x} + v \frac{\partial \theta}{\partial y} + w \frac{\partial \theta}{\partial z} = \frac{\partial}{\partial z}\left( K_{h} \frac{\partial \theta}{\partial z}\right) + F_u | \frac{\partial \theta}{\partial t} + u \frac{\partial \theta}{\partial x} + v \frac{\partial \theta}{\partial y} + w \frac{\partial \theta}{\partial z} = \frac{\partial}{\partial z}\left( K_{h} \frac{\partial \theta}{\partial z}\right) + F_u | ||
</math> | </math> | ||
- | |||
<math> | <math> | ||
- | \frac{\partial u}{\partial x} + \frac{\partial | + | \frac{\partial s}{\partial t} + u \frac{\partial s}{\partial x} + v \frac{\partial s}{\partial y} + w \frac{\partial s}{\partial z} = \frac{\partial}{\partial z}\left( K_{h} \frac{\partial s}{\partial z}\right) + F_u |
- | </math> | + | </math> |
+ | |||
+ | |||
<math> | <math> | ||
\rho = \rho(\theta,s) | \rho = \rho(\theta,s) | ||
<\math> | <\math> |
Revision as of 04:06, 10 November 2011
Primitive Equations
The governing equations consist of the following momentum, continuity, temperature, salinity, and density equations:
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