CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (6): 647-654.

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A Grid Generation Strategy for Domains with Complicated Boundaries

YAO Yanzhong1,2, WANG Ruili1, YUAN Guangwei1   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    2. Graduate School of CAEP, Beijing 100088, China
  • Received:2006-06-09 Revised:2007-02-26 Online:2007-11-25 Published:2007-11-25

Abstract: A structured grid generation method for domains with complicated boundary is discussed.Based on the Winslow method with variational form,and combined with grid untangling and area averaging technologies,a discrete functional is designed. The minimization of the discrete functional is solved by an optimization algorithm,and good grids are generated.Numerical experiments show that the method is robust and generates grids with good geometric qualities on complicated domains.This method inherits advantages of the Winslow method and overcomes some faults.

Key words: grid generation, variational method, optimization, grid untangling

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