Boundary layer mesh generation on arbitrary geometries

Summary Volume boundary layer mesh generation on non‐smooth geometries with multiple normals is considered in this work. A new highlight is given to corner and ridge boundary layer mesh generation through the generalized Voronoi diagram in general, and the spherical Voronoi diagram in particular. Th...

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Bibliographic Details
Published inInternational journal for numerical methods in engineering Vol. 112; no. 2; pp. 157 - 173
Main Authors Aubry, R., Dey, S., Mestreau, E. L., Karamete, B. K.
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 12.10.2017
Wiley Subscription Services, Inc
Subjects
Boundary layer
boundary layer mesh generation
Eikonal equation
generalized Voronoi diagram
Mesh generation
multiple normals
non‐smooth geometry
Normality
Robustness (mathematics)
spherical Voronoi diagram
Voronoi graphs
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Summary:Summary Volume boundary layer mesh generation on non‐smooth geometries with multiple normals is considered in this work. A new highlight is given to corner and ridge boundary layer mesh generation through the generalized Voronoi diagram in general, and the spherical Voronoi diagram in particular. This provides the keystone to allow for the first time boundary layer mesh generation at arbitrary corner configurations. The work proposed in is revisited and compared with the new approach. A detailed description of the new algorithm is provided. The spherical Voronoi diagram delivers geometrically the optimal normals as well as topologically the optimal connectivities, as far as normality is concerned. Numerical examples illustrate the accuracy and robustness of the method. This approach seems to handle arbitrary geometry boundary layer mesh generation, in theory as well as in practice. Copyright © 2017 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.5514