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International Journal of CAD/CAM v.8 no.1, 2008년, pp.63 - 67  

A method Based on Boundary Deformation for Planar Grid Generation

Liu, Xinru    (Department of Mathematics Science and Computer Technology, Central South University   ); Liu, Duanfeng    (Department of Mathematics Science and Computer Technology, Central South University   ); Han, Xuli    (Department of Mathematics Science and Computer Technology, Central South University  );
  • 초록

    This paper puts forward a method based on the boundary deformation for planar grid generation. Many methods start with the special properties of grid and switch to the solution of a direct optimization or a non-linear minimum cost flow. Though with high theoretical significance, it's hard to realize due to the extremely complicated computing process. This paper brings out the automatic generation of planar grid by studying the boundary deformational properties of planar grid, which leads to uniform grid and enjoys the simplicity of computation and realization.


  • 주제어

    Curve Generation .   Grid Generation .   Boundary Deformation of Grid.  

  • 참고문헌 (10)

    1. Bowyer, A. (1981), Computing Dirichlet tessallations, The Comput. J, 24, 162-166 
    2. Egidi, N. and Maponi, P. (2004), A nonlinear constrained optimization problem for planar grid generation, in: Pistella, F., Spitaleri, R.M. (Eds.), MASCOTO3-3rd Meeting on Applied Scientific Computing and Tools. Grid Generation: Approximated Solutions and Visualization, IMACS Ser. Comput. Appl. Math., 8, 51-60 
    3. Zienkiewicz, O.C. and Phillips, D.V. (1971), An automatic mesh generation scheme for plane and curved surfaces by isoparametric coordinates. International Journal for Numerical Methods in Engineering, 3, 519-528 
    4. Watherill, N.P. (1990), Mixed structured-unstructured meshes for aerodynamic flow simulation, The Aeronauti J, 94, 111-123 
    5. Castillo, J.E. and Otto, J.S. (1999), A practical guide to direct optimization for planar grid-generation, Comput. Math. Appl, 37, 123-156 
    6. Lawson, C.L. (1977), Software for C1 Surface Interpolation, Mathematical Software, 161-194 
    7. Watson, D.F. (1981), Computing the N-dimensional Delaunay tessellation with application to Voronoi polytopes, The Comput. J, 24, 161-172 
    8. Egidi, N. and Maponi, P. (2005), A class off network optimization methods for planar grid generation, Applied Numerical Mathematics, 52, 363-379 
    9. Peraire, J., Vahdati, P.M and Morgan, K. (1987), Adaptive remeshing for pressible flow computations, J. Computer Physics, 72, 449-466 
    10. Bertsekas, D.P. (1991), Linear Network Optimization, MIT Press, Cambridge, MA 

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