High-order mesh generation using RBFs based on geometrical similarity

Zi Hao Zhao, Wen Ping Song, Ke Song

科研成果: 会议稿件论文同行评审

摘要

This paper proposes a method to generate high-order curvilinear mesh using compact radial basis function (RBF) interpolation with optimized support radius. We start with an initial high-order linear mesh, and relocate the boundary nodes to their true positons on the true curved geometry. Then the rest mesh nodes are moved using RBF interpolation based on boundary nodes displacement. However, if one assigns identical support radius to all control points, the interpolation might result in poor-quality or even invalid mesh elements. In this article, we present an optimization process to determine a proper set of support radius. Additionally, a novel and fast curved mesh quality estimation based on geometrical similarity between linear and curvilinear mesh element is used to speed up the optimization process. A number of examples including highly stretched boundary layer meshes of complex geometries are tested, the results illustrate that our method is able to produce high quality curved meshes with low computational cost.

源语言英语
出版状态已出版 - 2018
活动10th International Conference on Computational Fluid Dynamics, ICCFD 2018 - Barcelona, 西班牙
期限: 9 7月 201813 7月 2018

会议

会议10th International Conference on Computational Fluid Dynamics, ICCFD 2018
国家/地区西班牙
Barcelona
时期9/07/1813/07/18

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