Improving Structured Grid Generated for Configuration with Acute Convex and/or Concave Corners
Erke Qin · 2008
Aim.Existing methods,which use the solution of elliptic partial differential equation to generate structured grids,meet with serious difficulty at acute convex and/or concave corners.We now present our method that we believe can minimize such difficulty.In the full paper,we explain our method in some detail;in this abstract,we just add some pertinent remarks to naming the first four sections of the full paper.The first section is: generating the grid with the parabolic partial differential equation.In this section,we discuss the grid generation based on the parabolic marching scheme.Section 2 is: generating the reference grid.Section 3 is: smoothing the grid.In this section,we discuss how to apply a special smoothing technique to the configuration with acute convex and/or concave corners to improve grid qualities.Section 4 is: choosing control functions according to the topological structure of a grid.In this section, we generate the body-fitted and smooth grid which is orthogonal to its boundary.Finally,different grids are generated for several simple or complex configurations.The discussion of the results,which are shown in Figs.1 through 9 in the full paper,shows that the method used in this paper to generate grid is robust and efficient.