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Mesh Curving and Refinement Based on Cubic Bézier Surface for High-Order Discontinuous Galerkin Methods

  • Shu-Jie LiEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 131)

Abstract

A 3-D curved mesh generator is prescribed for converting linear elements to quadratic elements required by high-order methods, which is based on the reconstruction of Cubic Bézier surfaces. Successive curved mesh refinement is also supported by inquiring the middle nodes of the edges and faces of the reconstructed quadratic elements via the Cubic Bézier surface method. Numerical test cases are shown to demonstrate the capability of both mesh curving and refinement around three-dimensional geometries.

Notes

Acknowledgements

This work is funded by the National Natural Science Foundation of China (NSFC) under the Grant U1530401. The author thanks Dr. Hang Si of WIAS, Germany, for the discussion and collaboration in a broad sense of computational geometry. SJL would further like to thank the reviewers for their helpful comments.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Beijing Computational Science Research Center (CSRC)BeijingChina

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