Conformal refinement of all-hexahedral element meshes based on multiple twist plane insertion.
Nathan Harris, Steven E. Benzley, Steven J. Owen
Abstract
Nathan Harris, Steven E. Benzley, Steven J. Owen
Abstract
This paper presents an automated tool for local, conformal refinement of all-hexahedral meshes based on the insertion of multidirectional twist planes into the spatial twist continuum. The refinement process is divided into independent refinement steps. In each step, an inserted twist plane modifies a single sheet or two parallel hex sheets. Six basic templates, chosen and oriented based on the number of nodes selected for refinement, replace original mesh elements. The contributions of this work are (1) the localized refinement of mesh regions defined by individual or groups of nodes, element edges, element faces or whole elements within an all-hexahedral mesh, (2) the simplification of template-based refinement into a general method and (3) the use of hex sheets for the management of template insertion in multi-directional refinement.
OpenAlex reports 32 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
This paper presents an automated tool for local, conformal refinement of all-hexahedral meshes based on the insertion of multidirectional twist planes into the spatial twist continuum. The refinement process is divided into independent refinement steps. In each step, an inserted twist plane modifies a single sheet or two parallel hex sheets. Six basic templates, chosen and oriented based on the number of nodes selected for refinement, replace original mesh elements. The contributions of this work are (1) the localized refinement of mesh regions defined by individual or groups of nodes, element edges, element faces or whole elements within an all-hexahedral mesh, (2) the simplification of template-based refinement into a general method and (3) the use of hex sheets for the management of template insertion in multi-directional refinement.
Key concepts: Hexahedron, Polygon mesh, Twist, Conformal map, Mesh generation, Geometry, Computer science, Finite element method