GfsVariableCurvature

From Gerris

A GfsVariableCurvature variable contains the mean curvature (double the mean curvature in 3D) of an interface defined either through a GfsVariableDistance or a GfsVariableTracerVOF. The values are defined in a band around the interface. Outside of this band the value is set to G_MAXDOUBLE.

The syntax in parameter files is:

[ GfsVariable ] V

where V is either a GfsVariableDistance or a GfsVariableTracerVOF. When using a GfsVariableTracerVOF, the maximum curvature of the interface (i.e. the maximum of the absolute value of the principal curvatures) can optionally be stored in a second variable. For example:

GfsVariableCurvature K T Kmax

will define both the mean curvature K and the maximum curvature Kmax of the interface defined by GfsVariableTracerVOF T.

Note that in 2D the maximum curvature is just the absolute value of the mean curvature.

Examples

• Savart--Plateau--Rayleigh instability of a water column

    VariableCurvature K T Kmax

• Atomisation of a pulsed liquid jet

    VariableCurvature K T Kmax

• Time-reversed advection with curvature-based refinement

    VariableCurvature K T

• Circular droplet in equilibrium

  VariableCurvature K T

• Axisymmetric spherical droplet in equilibrium

  VariableCurvature K T

• Planar capillary waves

  VariableCurvature K T

• Air-Water capillary wave

  VariableCurvature K T

• Fluids of different densities

  VariableCurvature K T

• Shape oscillation of an inviscid droplet

    VariableCurvature K T

• Height-Function on parallel subdomains

    VariableCurvature K T

• Scalings for Plateau--Rayleigh pinchoff

   VariableCurvature K T Kmax

• Sessile drop

    VariableCurvature K T

• Equilibrium of a droplet suspended in an electric field

    VariableCurvature K T