Model Formulation
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<math> | <math> | ||
- | \frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y} + w \frac{\partial v}{\partial z} | + | \frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y} + w \frac{\partial v}{\partial z} +fu = -\frac{1}{\rho_o} \frac{\partial P}{\partial y} + \frac{\partial}{\partial z}\left( K_{m} \frac{\partial v}{\partial z}\right) + F_u |
</math> | </math> | ||
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<math> | <math> | ||
- | \frac{\partial u}{\partial x} + \frac{\partial | + | \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> | ||
+ | \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} + \frac{\partial w}{\partial z} = 0 | ||
</math> | </math> | ||
+ | |||
+ | <math> | ||
+ | \rho = \rho(\theta,s) | ||
+ | <\math> |
Revision as of 04:05, 10 November 2011
Primitive Equations
The governing equations consist of the following momentum, continuity, temperature, salinity, and density equations:
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