published in Proc . 14 th International Meshing Roundtable , 2005 , 203 - 219 Meshing Volumes Bounded by Smooth Surfaces ∗

Maillages de volumes bornés par des surfaces lisses par morceaux. (Meshing Volumes bounded by Piecewise Smooth Surfaces)

Automatic swept volume decomposition based on sweep directions extraction for hexahedral meshing

Automatic and high quality hexahedral meshing of complex solid models is still a challenging task. To guarantee the quality of the generated mesh, current commercial software normally requires users to manually decompose a complex solid model into a set of simple geometry like swept volume whose high quality hexahedral mesh can be easily generated. The manual decomposition is a time-consuming p...

Meshing Volumes Bounded by Smooth Surfaces

This paper introduces a three-dimensional mesh generation algorithm for domains bounded by smooth surfaces. The algorithm combines a Delaunaybased surface mesher with a Ruppert-like volume mesher, to get a greedy algorithm that samples the interior and the boundary of the domain at once. The algorithm constructs provably-good meshes, it gives control on the size of the mesh elements through a u...

Volume Decomposition and Feature Recognition for Hexahedral Mesh Generation

Considerable progress has been made on automatic hexahedral mesh generation in recent years. Several automatic meshing algorithms have proven to be very reliable on certain classes of geometry. While it is always worth pursuing general algorithms viable on more general geometry, a combination of the well-established algorithms is ready to take on classes of complicated geometry. By partitioning...

Automatic Curvilinear Quality Mesh Generation Driven by Smooth Boundary and Guaranteed Fidelity

The development of robust high-order finite element methods requires the construction of valid high-order meshes for complex geometries without user intervention. This paper presents a novel approach for automatically generating a high-order mesh with two main features: first, the boundary of the mesh is globally smooth; second, the mesh boundary satisfies a required fidelity tolerance. Invalid...