Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes

Procedure 1

Search nearest point to on .

Input: ,

1: Cell set

2: Vertex set

3: if , then

4:   is not adjacent to the level set. Quit procedure and launch edge-based approach.

5: end if

6: for all Cells do

7:  Find the line segment (2D) or facet (3D) in belonging to via linear interpolation.

8:  Record the minimum distance and corresponding nearest point

9: end for

10: if that then

11:  Add neighboring vertices of to

12:  Repeat step 6 - 11 until step 10 returns false.

13: end if

14: return ,