Hexahedral Mesh Refinement Using an Error Sizing Function

Paudel, Gaurab; Owen, Steven J.; Benzley, Steven E.

doi:10.1007/978-3-642-24734-7_8

Cited by 2 publications

(1 citation statement)

References 22 publications

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“…There are a number of limitations of the current approach that we plan to address as the future work. In addition, the current framework can be further extended to magnified specific local (volume) regions based on other sizing information, such as an error sizing function from the finite-element analysis [POB11]. We plan to explore these directions in the future.…”

Section: Resultsmentioning

confidence: 99%

Hexahedral Meshing With Varying Element Sizes

Gao

Deng

et al. 2017

Computer Graphics Forum

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Hexahedral (or Hex‐) meshes are preferred in a number of scientific and engineering simulations and analyses due to their desired numerical properties. Recent state‐of‐the‐art techniques can generate high‐quality hex‐meshes. However, they typically produce hex‐meshes with uniform element sizes and thus may fail to preserve small‐scale features on the boundary surface. In this work, we present a new framework that enables users to generate hex‐meshes with varying element sizes so that small features will be filled with smaller and denser elements, while the transition from smaller elements to larger ones is smooth, compared to the octree‐based approach. This is achieved by first detecting regions of interest (ROIs) of small‐scale features. These ROIs are then magnified using the as‐rigid‐as‐possible deformation with either an automatically determined or a user‐specified scale factor. A hex‐mesh is then generated from the deformed mesh using existing approaches that produce hex‐meshes with uniform‐sized elements. This initial hex‐mesh is then mapped back to the original volume before magnification to adjust the element sizes in those ROIs. We have applied this framework to a variety of man‐made and natural models to demonstrate its effectiveness.

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Section: Resultsmentioning

confidence: 99%

Hexahedral Meshing With Varying Element Sizes

Gao

Deng

et al. 2017

Computer Graphics Forum

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Hexahedral Mesh Refinement Using an Error Sizing Function

Paudel

Owen

Benzley

2011

Proceedings of the 20th International Meshing Roundtable

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The ability to effectively adapt a mesh is a very important feature of high fidelity finite element modeling. In a finite element analysis, a relatively high node density is desired in areas of the model where there are high error estimates from an initial analysis. Providing a higher node density in such areas improves the accuracy of the model and reduces the computational time compared to having a high node density over the entire model. Node densities can be determined for any model using the sizing functions based on the geometry of the model or the error estimates from the finite element analysis. Robust methods for mesh adaptation using sizing functions are available for refining triangular, tetrahedral, and quadrilateral elements. However, little work has been published for adaptively refining all hexahedral meshes using sizing functions. This thesis describes a new approach to drive hexahedral refinement based upon an error sizing function and a mechanism to compare the sizes of the node after refinement.

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Hexahedral Mesh Refinement Using an Error Sizing Function

Cited by 2 publications

References 22 publications

Hexahedral Meshing With Varying Element Sizes

Hexahedral Meshing With Varying Element Sizes

Hexahedral Mesh Refinement Using an Error Sizing Function

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