Conservative and Nonconservative Forms
If the velocity field is divergence free, that is, if
(11-13)
the volume (area for 2D problems) bounded by the interface should be conserved if there is no inflow or outflow through the boundaries. To obtain exact numerical conservation in cases where
Equation 11-13
is not fully satisfied, switch to the conservative form
Using the conservative phase field form, exact numerical conservation of the integral of
is obtained. However, the nonconservative form is better suited for numerical calculations and usually converges more easily. The nonconservative form, which is the default form, only conserves the integral of the phase field function approximately, but this is sufficient for most applications.
When the Phase Field interface is coupled to a fluid flow interface by means of
The Two-Phase Flow, Phase Field Coupling Feature
, conservation of the integral of
using the nonconservative form can be improved provided that the discretization order of the phase field variables is equal to or lower than the order of the pressure.
using the nonconservative form can be improved provided that the discretization order of the phase field variables is equal to or lower than the order of the pressure.
is obtained. However, the nonconservative form is better suited for numerical calculations and usually converges more easily. The nonconservative form, which is the default form, only conserves the integral of the phase field function approximately, but this is sufficient for most applications.