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Fully dynamic MIKE 11

Fully dynamic, MIKE 11

The momentum term is included partly implicit. To ensure the correct sign for the term when the flow direction is changing during a time step, the semi implicit term is weighted with the explicit term:

\[ q^2 \approx \theta q_j^{n+1} q_j^n - (\theta - 1) q_j^n q_j^n \]

Equation: Semi-implicit weighting of momentum advection term to ensure correct flow direction change.

where q can be specified by the user. The default value of q is 1.0.