Finding hexahedrizations for small quadrangulations of the sphere
2019年7月12日 · An algorithm is introduced to build combinatorial hexahedral meshes whose boundary facets exactly match a given quadrangulation of the topological sphere. This algorithm is the first practical solution to the problem.
How to mesh a sphere with hexahedral cells in ANSYS Meshing?
The script creates a sphere, a cube inside the sphere and slices the sphere in 7 blocks and create a shared topology. The resulting geometry will be easier to mesh in ANSYS Meshing with Multizone method.
Hextreme – Hexahedral Mesh Generation in Real Time
2021年7月5日 · In this paper, we prove that Schneiders’ pyramid has no hexahedral meshes with fewer than 18 interior vertices and 17 hexahedra, and introduce a valid mesh with 44 hexahedra. We also construct the smallest known mesh of the octagonal spindle, with 40 hexahedra and 42 interior vertices.
Hex-Mesh Generation and Processing: A Survey
In this article, we provide a detailed survey of techniques for hexahedral mesh generation. We cover the whole spectrum of alternative approaches to mesh generation, as well as post-processing algo...
Mathematically producing sphere-shaped hexagonal grid
2017年10月17日 · When five equilateral triangles meet in one corner and cover the whole sphere, this can only be the configuration induced by a icosahedron. So there are 12 pentagons and 20 patches of a triangular cutout of a hexongal mesh mapped to the sphere. So this is a way to construct such a hexagonal grid on the sphere:
algorithm to build combinatorial hexahedral meshes of reasonable size for small quadrangulation of the sphere. The algorithm is based on quad flips, a set of operations to modify quadrilateral meshes and whose application can be interpreted as the construction of a hexahedron. Given a quadrangulated sphere Q, a hexahedral mesh
improvement of quadrilateral/hexahedral meshes, and it is especially suitable for biomolecular meshes because the surface diffusion flow preserves sphere accu rately if the initial surface is close to a sphere. Several demonstration examples …
hexahedral elements are the most prominent solid elements used to represent discrete volumes in computational environments. Meshes entirely or partially made of hexahedra have been used for many years as the computational domain to solve partial differential equa-tions (PDEs) that are relevant for the automobile, naval, aerospace,
Local Decomposition of Hexahedral Singular Nodes into Singular …
2023年5月1日 · This bijection is formed by intersecting the singular node of the hex mesh with an infinitesimally small sphere. Since the intersection of a corner of a hex with a sphere forms a triangle, the hexes adjacent to the singular node partition the sphere into triangular regions thus forming a sphere triangulation.
Finding Hexahedrizations for Small Quadrangulations of the Sphere
2019年4月25日 · An algorithm is introduced to build combinatorial hexahedral meshes whose boundary facets exactly match a given quadrangulation of the topological sphere. This algorithm is the first practical solution to the problem.
跳至内容