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Size Gradation Control for Anisotropic Hybrid Meshes

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Numerical Geometry, Grid Generation and Scientific Computing

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 143))

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Abstract

Metric-based generation methods provide high-quality anisotropic meshes. Yet, it is necessary to ensure the smoothness of the metric field in the first place. This is achieved through the so-called “metric gradation” process, that is the correction of the size growth throughout the mesh. The smallest size prescriptions are spread using a metric intersection algorithm. In this paper, we demonstrate the relevance of size gradation control in metric-based hybrid mesh generation using a metric-orthogonal point placement. We also show how to design a gradation process that maximizes the number and quality of structured elements in these hybrid meshes.

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References

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Correspondence to Lucille-Marie Tenkes .

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Tenkes, LM., Alauzet, F. (2021). Size Gradation Control for Anisotropic Hybrid Meshes. In: Garanzha, V.A., Kamenski, L., Si, H. (eds) Numerical Geometry, Grid Generation and Scientific Computing. Lecture Notes in Computational Science and Engineering, vol 143. Springer, Cham. https://doi.org/10.1007/978-3-030-76798-3_8

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