Generation of Surface Grids Using Elliptic PDEs

  • Per Weinerfelt
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 44)


Below follows a brief description of a surface grid generator, developed at CERFACS, aimed at the sub-task 1.3.1 in the BRITE/EURAM EuroMesh project. We assume that the given surface is described on parameter form. A system of nonlinear elliptic PDEs, similar to those used for generating planar curvilinear grids, can be deduced for the parameters. These equations are discretized and solved iteratively. This yields a finite set of parameter values from which the corresponding grid points on the surface are computed. We refer to paper (1) for a detailed description.


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  1. [1]
    Toshiyuki Takagi, Kazuyoshi Miki, Brian C.J. Chen and William T. Sha: “Numerical Generation of Boundary-Fitted Curvilinear Coordinate Systems for Arbitrary Curved Surfaces”, Journal of Computational Physics 58, 67–79 (1985).zbMATHCrossRefGoogle Scholar

Copyright information

© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden 1993

Authors and Affiliations

  • Per Weinerfelt
    • 1
  1. 1.European Centre for Research and Advanced Training in Scientific ComputingC.E.R.F.A.C.S.Toulouse CedexFrance

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