2.13.7 Derivation of discrete energy conservation

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Next: 2.14 Vector invariant momentum Up: 2.13 Flux-form momentum equations Previous: 2.13.6 Vertical dissipation Contents

These discrete equations conserve kinetic plus potential energy using the following definitions:

$\displaystyle KE = \frac{1}{2} \left( \overline{ u^2 }^i + \overline{ v^2 }^j + \epsilon_{nh} \overline{ w^2 }^k \right)$

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