Methods and Applications of Generalized Sheet Insertion for Hexahedral Meshing

Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J.

doi:10.1007/978-3-540-75103-8_14

Cited by 20 publications

(11 citation statements)

References 7 publications

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“…In recent years, a greater understanding of quadrilateral and hexahedral mesh topology has led to the development of many new quadrilateral and hexahedral mesh operations [25][26][27][28]. The algorithms presented in this paper utilize the dual representation of a quadrilateral/hexahedral mesh.…”

Section: Dual Methodsmentioning

confidence: 99%

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Adaptive mesh coarsening for quadrilateral and hexahedral meshes

Shepherd

Dewey

Woodbury

et al. 2010

Finite Elements in Analysis and Design

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Section: Dual Methodsmentioning

confidence: 99%

“…Another hexahedral mesh operation that involves sheets is pillowing [28,30]. Unlike sheet extraction, which removes an existing sheet from a mesh, pillowing inserts a new sheet into a mesh.…”

Section: Sheet and Column Operationsmentioning

confidence: 99%

Adaptive mesh coarsening for quadrilateral and hexahedral meshes

Shepherd

Dewey

Woodbury

et al. 2010

Finite Elements in Analysis and Design

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“…Quality improvement: When two neighbouring hexes share two faces, a 'doublet' is formed [32]. The pillowing technique was developed to remove doublets using a shrink-and-connect sheet insertion technique [33][34][35][36]. As the simplest and most straightforward method, Laplacian smoothing relocates the vertex to the average of the vertices connecting to it [21].…”

Section: Previous Workmentioning

confidence: 99%

Quality improvement of non‐manifold hexahedral meshes for critical feature determination of microstructure materials

Qian

Zhang

Wang

et al. 2009

Numerical Meth Engineering

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SUMMARYThis paper describes a novel approach to improve the quality of non-manifold hexahedral meshes with feature preservation for microstructure materials. In earlier works, we developed an octree-based isocontouring method to construct unstructured hexahedral meshes for domains with multiple materials by introducing the notion of material change edge to identify the interface between two or more materials. However, quality improvement of non-manifold hexahedral meshes is still a challenge. In the present algorithm, all the vertices are categorized into seven groups, and then a comprehensive method based on pillowing, geometric flow and optimization techniques is developed for mesh quality improvement. The shrink set in the modified pillowing technique is defined automatically as the boundary of each material region with the exception of local non-manifolds. In the relaxation-based smoothing process, non-manifold points are identified and fixed. Planar boundary curves and interior spatial curves are distinguished, and then regularized using B-spline interpolation and resampling. Grain boundary surface patches and interior vertices are improved as well. Finally, the optimization method eliminates negative Jacobians of all the vertices. We have applied our algorithms to two beta titanium data sets, and the constructed meshes are validated via a statistics study. Finite element analysis of the 92-grain titanium is carried out based on the improved mesh, and compared with the direct voxel-to-element technique.

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“…Zhang et al [33] describe an octree-based isoconturing method for automatic multimaterial tetrahedral and hexahedral mesh generation. Merkley et al [14] present methods and applications of sheet insertion in a hexahedral mesh; their basic idea relies on the dual of quad or hex (2D or 3D, respectively). Boundary layer creation by insertion of layers of sheets of hexes along the boundary is described.…”

Section: Introductionmentioning

confidence: 99%

PostBL: Post-mesh Boundary Layer Mesh Generation Tool

Jain

Tautges

2014

Proceedings of the 22nd International Meshing Roundtable

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Abstract.A boundary layer mesh is a mesh with dense element distribution in the normal direction along specific boundaries. PostBL is a utility to generate boundary layer elements on an existing mesh model. PostBL supports creation of hexahedral, prism, quad, and tri boundary layer elements. It is formulated as an algorithm in MeshKit, which is an open-source library for mesh generation functionalities. Typically, boundary layer mesh generation is a premeshing process; in this effort, however, we start from a model that has already been meshed. Boundary layer elements can be generated along the entire skin or on selected exterior or internal surface boundaries. PostBL mesh operation can be coupled with other MeshKit meshing operations such as Jaal, NetGen, TetGen, and CAMAL and custom meshing tools such as RGG. Simple examples demonstrating generation of boundary layers on different mesh types and the OECD Vattenfall T-Junction benchmark hexahedral mesh are presented. IntroductionBoundary layers are typically used for CFD applications, in regions with strong gradients-turbulent flow, diffusion-type equations, laminar flow or no-slip boundary with strong gradient of velocity [23]. Most other tools for generating boundary layers insert them before bulk mesh generation; in this effort, however, we develop a tool called PostBL and start from an already meshed model. This strategy is particularly useful when the meshing of the original problem is complicated and involves geometry decomposition and other geometry modifications prior to meshing. A utility for adding layers of elements along the exterior or interior (shared by two materials) boundary is developed. It relies on the edge or surface (2D or 3D) mesh on which the boundary layer elements are desired. This method is also useful for creating boundary layer elements in the wake regions along the direction of fluid flow. After boundary layer insertion, smoothing can optionally be used to improve mesh quality. Typically in external aerodynamic simulations, the type of turbulent modeling decides the thickness and number of boundary layer elements; PostBL would save time and eliminate the complexity involved in remeshing the entire model.

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Methods and Applications of Generalized Sheet Insertion for Hexahedral Meshing

Cited by 20 publications

References 7 publications

Adaptive mesh coarsening for quadrilateral and hexahedral meshes

Adaptive mesh coarsening for quadrilateral and hexahedral meshes

Quality improvement of non‐manifold hexahedral meshes for critical feature determination of microstructure materials

PostBL: Post-mesh Boundary Layer Mesh Generation Tool

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