Cloud contour representation of three dimensional meshless method numerical results based on Delaunay tetrahedron tessellation

The discrete characteristic of data points leads to the visualization of three dimensional meshless method numerical results with difficulty. This paper proposes using three dimensional Delaunay tessellation, which constructs the background tetrahedron mesh from three dimensional data points, to visualize numerical results of meshless method with cloud contour by coloring the 4 triangular facets of each tetrahedron. Numerical examples which are performed by MATLAB programming demonstrate that the proposed method is able to generate high quality cloud contour efficiently.