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Constrained mesh optimization on boundary

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Abstract

This paper presents a new mesh optimization approach aiming to improve the mesh quality on the boundary. The existing mesh untangling and smoothing algorithms (Vachal et al. in J Comput Phys 196: 627–644, 2004; Knupp in J Numer Methods Eng 48: 1165–1185, 2002), which have been proved to work well to interior mesh optimization, are enhanced by adding constrains of surface and curve shape functions that approximate the boundary geometry from the finite element mesh. The enhanced constrained optimization guarantees that the boundary nodes to be optimized always move on the approximated boundary. A dual-grid hexahedral meshing method is used to generate sample meshes for testing the proposed mesh optimization approach. As complementary treatments to the mesh optimization, appropriate mesh topology modifications, including buffering element insertion and local mesh refinement, are performed in order to eliminate concave and distorted elements on the boundary. Finally, the optimization results of some examples are given to demonstrate the effectivity of the proposed approach.

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Acknowledgments

The first author greatly acknowledges the support from the Volume-CAD project of RIKEN, which enabled him to conduct the present work. The authors also acknowledge Dr. Yutaka Ohtake and Dr. Zhigang Sun for their helpful discussions.

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Authors and Affiliations

  1. Advanced Simulation Technology of Mechanics Co.,Ltd, Hirosawa 2-1, Wako, 351-0198, Japan

    J. Yin

  2. Integrated Volume-CAD System Research, RIKEN, Hirosawa 2-1, Wako, 351-0198, Japan

    C. Teodosiu

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  1. J. Yin
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  2. C. Teodosiu
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Correspondence to J. Yin.

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Yin, J., Teodosiu, C. Constrained mesh optimization on boundary. Engineering with Computers 24, 231–240 (2008). https://doi.org/10.1007/s00366-008-0090-5

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  • DOI: https://doi.org/10.1007/s00366-008-0090-5

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