No spurious currents in Level Set Multiphase Method?
 

The reasons for spurious currents in the conventional algebraic volume of fluid is known to us, and we are familiar with the attempts that have been made to decrease them in the community.

The question is that why such spurious currents are not observed when using Level Set method (Or at least it is known that Level Set outperforms in terms of not inducing spurious parasitic velocities close to the interface).

Because to me, all processes are similar to VOF (i.e. solving an advection equation, the way normal vector and curvature are calculated, and the way the surface tension force is used in the momentum balance equation) except that all are based on a distance function other than volume of fluid fraction.

So if spurious currents are attributed to an imbalance between surface tension force and pressure force caused due to inaccuracies in curvature approximation and discretization of the surface tension force in the momentum equation, to me there is no reason that same thing does not occur for the level set method.

1. Level set method does suffer from spurious currents too.

2. It outperforms basic VoF in this regard because curvature calculation is less noisy.