V00_SmoothDivV

Default: V00_SmoothDivV = 000

entry	description
first digit	switch for projection of div(v)-values from boundary to interior
	0: no projection
	>0: projection, where the given value is the factor for the weight kernel that defines the distribution function
second digit	number of smoothing cycles
third digit	factor for the smoothing weight kernel

\begin{align} div({\bf v})_i^{\text{smooth}} = \sum exp(-\text{SmoothDivV} \cdot r_{ij}) \cdot div({\bf v})_j \end{align} Then, the Chorin correction pressure is established based on the PDE \begin{align} div({\bf v})_i^{\text{smooth}} = \nabla^T \left( \frac{\Delta t_{virt}}{\rho} \nabla c \right) \end{align} Note:

• This parameter is used to study conservation properties of MESHFREE.
• Surprisingly, it has bad effects on the smoothness of the velocity and pressure solutions. We observed transversal ripples for instance for the flow around and airfoil.