Improved adaptive mesh refinement for conformal hexahedral meshes

Nicolas, G.; Fouquet, Thierry; Geniaut, Samuel; Cuvilliez, Sam

doi:10.1016/j.advengsoft.2016.07.014

Cited by 14 publications

(12 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The focus of these patterns was to introduce as few nodes as possible, with the goal to be used under real-time simulations. In contrast with other works [4,[6][7][8][9]11], we will only add one node for some patterns that otherwise would not be split in simple elements. We have found 65 patterns that need the insertion of an octant's central node.…”

Section: Conclusion Discussion and Future Workmentioning

confidence: 99%

“… introduced some mixed‐element patterns for transitions between coarse and fine regions for simulation with the finite volume method. More recently, the work of Nicolas and Fouquet in has extended some transition patterns, composed of mixed elements, to the finite element (FE) method. However, their work is meant to be used when a hexahedral mesh already exists, and a greater refinement must be performed over it.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mixed‐element Octree: a meshing technique toward fast and real‐time simulations in biomedical applications

Lobos

González

2015

Numer Methods Biomed Eng

View full text Add to dashboard Cite

This article introduces a meshing technique focused on fast and real-time simulation in a biomedical context. We describe in details our algorithm, which starts from a basic Octree regarding the constraints imposed by the simulation, and then, mixed-element patterns are applied over transitions between coarse and fine regions. The use of surface patterns, also composed by mixed elements, allows us to better represent curved domains decreasing the odds of creating invalid elements by adding as few nodes as possible. In contrast with other meshing techniques, we let the user define regions of greater refinement, and as a consequence of that refinement, we add as few nodes as possible to produce a mesh that is topologically correct. Therefore, our meshing technique gives more control on the number of nodes of the final mesh. We show several examples where the quality of the final mesh is acceptable, even without using quality filters. We believe that this new meshing technique is in the correct direction toward real-time simulation in the biomedical field.

show abstract

Section: Conclusion Discussion and Future Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed‐element Octree: a meshing technique toward fast and real‐time simulations in biomedical applications

Lobos

González

2015

Numer Methods Biomed Eng

View full text Add to dashboard Cite

show abstract

“…As an alternative, hybrid meshing or mixed-element methods, where tetrahedra, prisms and pyramids are combined with hexahedra, have been used in various engineering scenarios, such as, for example, Computational Fluid Dynamics applications [42] and computer graphics simulations [43]. The main issue adressed in the literature is the development of methods for interfacing tetrahedra with hexahedra [44,45,46].…”

Section: Meshing Background 21 Related Work On Meshing Techniquesmentioning

confidence: 99%

Finite element models of the human tongue: a mixed-element mesh approach

Rohan

Lobos

Nazari

et al. 2016

Computer Methods in Biomechanics and Biomedical Engineering: Im

View full text Add to dashboard Cite

International audienceOne of the key factors for obtaining accurate and reliable results using the Finite Element Method (FEM) is the dis-cretization of the domain. Traditionally, two main types of elements are used for three-dimensional mesh generation: tetrahedral and hexahedral elements. Tetrahedral meshes are automatically generated but standard displacement-based tetrahedral elements generally suffer from performance issues in terms of convergence rate and accuracy of the solution associated with volumetric and shear locking. Because of these distinct disadvantages, hexahedral meshes have been used up until now for the design of biomechanical models of the orofacial system in particular for medical applications. However, hexahedral meshing is very costly and labor intensive when the mesh must be handmade. The aim of the present contribution is to evaluate the performance of mixed-element meshes as an alternative to all-tetrahedral or all-hexahedral meshing for the analysis of problems involving nearly incompressible materials at large strains. The case study of a semi-confined compression experiment of an elastic cylindrical specimen was analyzed. The theoretical expression of deformation was derived from the literature. We observed that linear mixed-element meshes allowed results very close to those obtained using hexahe-dral ones. As a second experiment, we generated a mixed-element mesh of the tongue and analyze its simulated response to activation of the posterior Genioglossus muscle. Overall, our results show that mixed-element meshes can be used as computationally less demanding alternative to all-hexahedral meshes for the analysis of problems involvin

show abstract

“…There are two ways to generate the transition elements. One of the ways is to split the hexahedral element into tetrahedral or pyramid elements [43]. However, this technique requires additional effort to find the elements with hanging nodes and partition them into tetrahedral or pyramid elements and, hence, increases computational cost.…”

Section: Octree Meshing Techniquementioning

confidence: 99%

A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing

Perumal

2016

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The method presented in this work is a 3-dimensional polyhedral finite element (3D PFEM) based on virtual node method. Novel virtual node polyhedral elements (termed as VPHE) are developed here, particularly virtual node hexahedral element (termed as VHE). Stiffness matrices of these polyhedral elements consist of simple polynomials. Thus, a new algorithm is introduced in this paper, which enables exact integration of monomials without a need for high number of integration points and weights. The number of nodes for VHE elements is not restricted, as opposed to the conventional hexahedral elements. This feature enables formulation of transition elements (termed as T-VHE) which are useful to adaptive computation. Performances of the new VHE elements in solid mechanics and conductive heat transfer phenomena are examined through numerical simulations. The new T-VHE elements are utilized in octree mesh. The VHE elements are found to produce good results and T-VHE elements help to reduce number of global nodes for the analysis.

show abstract

Improved adaptive mesh refinement for conformal hexahedral meshes

Cited by 14 publications

References 16 publications

Mixed‐element Octree: a meshing technique toward fast and real‐time simulations in biomedical applications

Mixed‐element Octree: a meshing technique toward fast and real‐time simulations in biomedical applications

Finite element models of the human tongue: a mixed-element mesh approach

A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing

Contact Info

Product

Resources

About