Adaptive discrete harmonic grid generation

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

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 6, 1792-1809

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.

Keywords: Variational grid generation; Adaptive grids; Quasi-harmonic grids; Structured grids (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:6:p:1792-1809

DOI: 10.1016/j.matcom.2007.04.015

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