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Equation (![[*]](crossref.png)
) is still valid. For incompressible fluids the Gamma
method is applied which results in (Equation ()):
| \overrightarrow{\boldsymbol{v}}_f ^{(m-1)} = \gamma \overline{\boldsymbol{v} }_f ^{(m-1)} + (1-\gamma) \overrightarrow{\boldsymbol{v} }_f ^{UD(m-1)}. | (760) |
Therefore, one ends up with:
| (A) \approx \sum_{f}^{} \dot{m}_f^{(m-1)} A_f \left[\overrightarrow{(v_i)}_f^{UD(m)} + \gamma \left ( \overline{(v_i)}_f^{(m-1)}-\overrightarrow{(v_i)}_f^{UD(m-1)} \right ) \right]. | (761) |