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:
