Validating and generating curved unstructured hexahedral meshes
نویسندگان
چکیده
We present a new definition of distortion and quality measures for high-order hexahedral (quadrilateral) elements. This definition leads to two direct applications. First, it can be used to check the validity and quality [1] of a high-order hexahedral (quadrilateral) mesh. Second, it allows the generation of high-order curved meshes [2, 3, 4, 5] composed of valid and high-quality hexahedral (quadrilateral) elements. We describe a method to simultaneously smooth and untangle high-order hexahedral (quadrilateral) meshes by minimizing the proposed mesh distortion [5]. Finally, we analyze the behavior of the proposed distortion measure and we present several results to illustrate the benefits of the mesh generation framework.
منابع مشابه
A Computational Database System for Generating Unstructured Hexahedral Meshes with Billions of Elements
For a large class of physical simulations with relatively simple geometries, unstructured octree-based hexahedral meshes provide a good compromise between adaptivity and simplicity. However, generating unstructured hexahedral meshes with over 1 billion elements remains a challenging task. We propose a database approach to solve this problem. Instead of merely storing generated meshes into conve...
متن کاملFinite element mesh generation and adaptive meshing
This review paper gives a detailed account of the development of mesh generation techniques on planar regions, over curved surfaces and within volumes for the past years. Emphasis will be on the generation of the unstructured meshes for purpose of complex industrial applications and adaptive refinement finite element analysis. Over planar domains and on curved surfaces, triangular and quadrilat...
متن کاملExtracting Hexahedral Mesh Structures from Balanced Linear Octrees
Generating large 3D unstructured meshes with over 1 billion elements has been a challenging task. Fortunately, for a large class of applications with relatively simple geometries, unstructured octree-based hexahedral meshes provide a good compromise between adaptivity and simplicity. This paper presents recent work on how to extract hexahedral mesh structures from a class of database structures...
متن کاملThe generation of hexahedral meshes for assembly geometry: survey and progress
The nite element method is being used today to model component assemblies in a wide variety of application areas, including structural mechanics, uid simulations, and others. Generating hexahedral meshes for these assemblies usually requires the use of geometry decomposition, with di erent meshing algorithms applied to di erent regions. While the primary motivation for this approach remains the...
متن کاملEvaluation of hexahedral, prismatic and hybrid mesh styles for simulating respiratory aerosol dynamics
In simulating biofluid flow domains, structured hexahedral meshes are often associated with high quality solutions. However, extensive time and effort are required to generate these meshes for complex branching geometries. This study evaluates potential mesh configurations that may maintain the advantages of the structured hexahedral style while providing significant savings in grid constructio...
متن کامل