Model Formulation
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\frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y} + w \frac{\partial v}{\partial z} - fv = -\frac{1}{\rho_o} \frac{\partial P}{\partial y} + \frac{\partial}{\partial z}\left( K_{m} \frac{\partial v}{\partial z}\right) + F_u | \frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y} + w \frac{\partial v}{\partial z} - fv = -\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> | ||
+ | |||
+ | <math> | ||
+ | \frac{\partial P}{\partial z} = -\rho g | ||
+ | </math> | ||
+ | |||
+ | <math> | ||
+ | \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y \frac{\partial w}{\partial z} = 0 | ||
+ | </math> |
Revision as of 04:03, 10 November 2011
Primitive Equations
The governing equations consist of the following momentum, continuity, temperature, salinity, and density equations:
Failed to parse (syntax error): \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y \frac{\partial w}{\partial z} = 0