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Adaptive discrete harmonic grid generation

Author

Listed:
  • Barrera-Sánchez, Pablo
  • Castellanos Noda, Longina
  • Domínguez-Mota, Francisco J.
  • González Flores, Guilmer F.
  • Domínguez, Angel Pérez

Abstract

We present a new adaptive-harmonic structured grid generation method. It is based on a functional that shares a common set of minimizers with Ivanenko’s harmonic functional [A.A. Charakhch’yan, S.A. Ivanenko, Curvilinear grids of convex quadrilaterals, Comput. Maths. Math. Phys. 28(2) (1988) 126–133.]. An unconstrained optimization process related to a continuation parameter is used to guarantee the convexity of the grid cells. Several numerical examples of grids generated on quite irregular 2Dregions, show the effective performance of the proposed method and its robustness when preset monitor functions are given.

Suggested Citation

  • Barrera-Sánchez, Pablo & Castellanos Noda, Longina & Domínguez-Mota, Francisco J. & González Flores, Guilmer F. & Domínguez, Angel Pérez, 2009. "Adaptive discrete harmonic grid generation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(6), pages 1792-1809.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:6:p:1792-1809
    DOI: 10.1016/j.matcom.2007.04.015
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    References listed on IDEAS

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    1. Tinoco-Ruiz, J.G. & Barrera-Sánchez, P., 1998. "Smooth and convex grid generation over general plane regions1Supported by CONACyT and U.M.S.N.H.1," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 46(2), pages 87-102.
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