The momentum transport equation is as follows:
\[\frac{\partial \rho \u}{\partial t} + \div (\u \u) + f_{MRF}(\rho, \u) + \div \vec{R} = - \grad p_{rgh} - (\vec{g} \cdot \vec{h} - (\vec{gh})_{\ref}) \grad \rho + \vec{S}_{\rho, \u}\]where:
Property | Description |
---|---|
\(t\) | Time |
\(\rho\) | Density |
\(\u\) | Velocity |
\(f_{MRF}\) | Multiple reference frame function |
\(\vec{R}\) | Stress tensor |
\(p_{rgh}\) | Pressure excluding the hydrostatic contribution |
\(\vec{h}\) | Spatial coordinates |
\(\vec{g}\) | Gravitational acceleration |
\(\vec{gh}_{ref}\) | Reference hydrostatic pressure |
\(\vec{S}\) | Source term through fvOption
|
The pressure-term transformation involving the hydrostatic contribution is explained as follows: