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Variational Generation of Prismatic Boundary-Layer Meshes for Biomedical Computing.

Volodymyr Dyedov1, Daniel Einstein, Xiangmin Jiao

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This study introduces a new method for creating boundary-layer meshes crucial for computational fluid dynamics simulations in complex biological systems. The technique ensures high-quality meshes for accurate and efficient biomedical simulations.

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Area of Science:

  • Computational fluid dynamics
  • Biomedical engineering
  • Computational geometry

Background:

  • Boundary-layer meshes are critical for accurate numerical simulations in fluid dynamics.
  • Generating these meshes for complex biological geometries, like lungs and hearts, presents significant challenges.

Purpose of the Study:

  • To propose a novel technique for generating high-quality prismatic boundary-layer meshes for complex biomedical geometries.
  • To enhance the accuracy and efficiency of numerical simulations in computational biofluid dynamics.

Main Methods:

  • A feature size computation and adaptive surface meshing approach.
  • Prismatic layer generation via face-offsetting and surface propagation.
  • A new variational method for optimizing prismatic element quality (shape and orthogonality).
  • Mesh validity guarantee measures and integration with tetrahedral mesh generators.

Main Results:

  • Successful generation of high-quality hybrid meshes for complex biomedical geometries.
  • Demonstrated robustness and quality of the proposed meshing technique through comparative studies.
  • Improved triangle shapes and edge orthogonality in prismatic elements.

Conclusions:

  • The novel technique effectively addresses challenges in generating boundary-layer meshes for complex biological shapes.
  • The resulting hybrid meshes are suitable for accurate and efficient numerical simulations in biofluid dynamics.
  • The method offers a robust solution for biomedical computational modeling.