Bubble Meshing Method for Two-parametric Surface

For mesh generation of a two-parameter surface,anisotropic and non-uniform node placement method with bubble simulation is applied to optimize node distribution in parameter area.Then the parameter area is meshed with constrained Delaunay triangulation.Finally,according to the mapping method,two-parametric surface mesh is obtained.A second order Riemann metric tensor determines distribution of nodes in the parameter area.It could be co-generated with a three-dimensional surface metric tensor and gradient of surface functions.Numerical examples show that the node placement method with bubble simulation can generate node set meeting requirements of Riemann metric in parameter area.Nodes are meshed and mapped back into the surface.A high quality surface mesh is obtained.