Adaptive remeshing for compressible flow computations
Journal of Computational Physics
Automatic mesh generator with specified boundary
Computer Methods in Applied Mechanics and Engineering
Construction of three-dimensional improved-quality triangulations using local transformations
SIAM Journal on Scientific Computing
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Automatic triangular mesh generation of trimmed parametric surfaces for finite element analysis
Computer Aided Geometric Design
Triangular/Quadrilateral Remeshing of an Arbitrary Polygonal Surface via Packing Bubbles
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
An anisotropic scale-invariant unstructured mesh generator suitable for volumetric imaging data
Journal of Computational Physics
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This paper describes a method for creating a well-shaped, layered tetrahedral mesh of a thin-walled solid by adapting the surface triangle sizes to the estimated wall thickness. The primary target application of the method is the finite element analysis of plastic injection molding, in which a layered mesh improves the accuracy of the solution. The edge lengths of the surface triangles must be proportional to the thickness of the domain to create well-shaped tetrahedrons; when the edge lengths are too short or too long, the shape of the tetrahedron tends to become thin or flat. The proposed method creates such a layered tetrahedral mesh in three steps: (1) create a preliminary tetrahedral mesh of the target geometric domain and estimate thickness distribution over the domain; (2) create a non-uniform surface triangular mesh with edge length adapted to the estimated thickness, then create a single-layer tetrahedral mesh using the surface triangular mesh; and (3) subdivide tetrahedrons of the single-layer mesh into multiple layers by applying a subdivision template. The effectiveness of the layered tetrahedral mesh is verified by running some experimental finite element analyses of plastic injection molding.