Adaptive discrete harmonic grid generation |
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| Authors: | Pablo Barrera-Sá nchez,Longina Castellanos Noda,Francisco J. Domí nguez-Mota,Guilmer F. Gonzá lez Flores,Angel Pé rez Domí nguez |
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| Affiliation: | 1. U.N.A.M., Facultad de Ciencias, Mexico City, Mexico;2. ICIMAF, Havana City, Cuba;3. U.M.S.N.H., Facultad de Ciencias Físico-Matemáticas, Morelia, Mexico |
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| 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. |
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| Keywords: | Variational grid generation Adaptive grids Quasi-harmonic grids Structured grids |
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