Towards fully regular quad mesh generation

Docampo-Sánchez‬, ‪Julia; Haimes, Robert

doi:10.2514/6.2019-1988

Cited by 12 publications

(5 citation statements)

References 17 publications

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“…Quadrilateralization methods, such as the ones proposed in [OSCS99, RLS * 12] can be used to transform these triangle meshes into quad meshes. Irregularities can be removed using local regularization operators like proposed in [DSH20]. If the density of the triangle mesh is already adapted to the local radius of the shape, which can be achieved by classical surface remeshing algorithms, those methods are able to maintain this adaptation in the produced quad mesh.…”

Section: Along Branches If An Automatic Skeleton Extraction Techniquementioning

confidence: 99%

Meso‐Skeleton Guided Hexahedral Mesh Design

Viville,

Kraemer,

Bechmann

2023

Computer Graphics Forum

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We present a novel approach for the generation of hexahedral meshes in a volume domain given its meso‐skeleton. This compact representation of the topology and geometry, composed of both curve and surface parts, is used to produce a raw decomposition of the domain into hexahedral blocks. Analysis of the different local configurations of the skeleton leads to the construction of a set of connection surfaces that are used as a scaffold onto which the hexahedral blocks are assembled. These local configurations of the skeleton completely determine the singularities of the final mesh, and by following the skeleton, the geometry of the produced mesh naturally follows the geometry of the domain. Depending on the end user needs, the obtained mesh can be further adapted, refined or optimized, for example to better fit the boundary of the domain. Our algorithm does not involve the resolution of any global problem, most decisions are taken locally and it is thus highly suitable for parallel processing. This efficiency allows the user to stay in the loop for the correction or edition of the meso‐skeleton for which a first sketch can be given by an existing automatic extraction algorithm.

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Section: Along Branches If An Automatic Skeleton Extraction Techniquementioning

confidence: 99%

Meso‐Skeleton Guided Hexahedral Mesh Design

Viville,

Kraemer,

Bechmann

2023

Computer Graphics Forum

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“…Meshing was carried out using Ansys Mechanical. The elements used for meshing were quadrilateral elements as they produced far smoother surfaces than triangular elements, as triangular elements frequently produced visible anomalies on the surface [25]. All the free elements were set to quad type and the element size was 2 mm.…”

Section: Development Of Finite Element Modelmentioning

confidence: 99%

Studies on Finite Element Analysis in Hydroforming of Nimonic 90 Sheet

Chinnaiyan

2023

Mathematics

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The primary goal of this study was to investigate the formability of Nimonic 90 sheet which performs well at high temperatures and pressures, making it ideal for applications in the aerospace, processing, and manufacturing industries. In this present study, finite element analysis (FEA) and optimization of process parameters for formability of Nimonic 90 in sheet hydroforming were investigated. The material’s mechanical properties were obtained by uniaxial tensile tests as per the standard ASTM E8/E8M. The sheet hydroforming process was first simulated to obtain maximum pressure (53.46 MPa) using the FEA and was then validated using an experiment. The maximum pressure obtained was 50.5 MPa in experimentation. Since fully experimental or simulation designs are impractical, the Box–Behnken design (BBD) was used to investigate various process parameters. Formability was measured by the forming limit diagram (FLD) and maximum deformation achieved without failure. Analysis of variance (ANOVA) results also revealed that pressure and thickness were the most effective parameters for achieving maximum deformation without failure. Response surface methodology (RSM) optimizer was used to predict optimized process parameter to achieve maximized response (deformation) without failure. Experimental validation was carried out for the optimized parameters. The percentage of error between experimental and simulation results for maximum deformation was less than 5%. The findings revealed that all the aspects in the presented regression model and FEM simulation were effective on response values.

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“…Therefore, a large amount of clean-up operations are implemented to improve the mesh quality. The strategies range from preprocessing, such as dividing complex geometries into small regular regions to facilitate generating regular mesh (Liu et al, 2017), to post-processing, such as reducing the singularity (Verma and Suresh, 2017), performing iterative topological changes (e.g., splitting, swapping, and collapsing elements) (Docampo-Sanchez and Haimes, 2019), and mesh adaptation (Verma and Suresh, 2018).…”

Section: Mesh Generation Challengesmentioning

confidence: 99%

Reinforcement learning for automatic quadrilateral mesh generation: a soft actor-critic approach

Huang¹,

Cheng²,

Zeng³

2022

Preprint

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This paper proposes, implements, and evaluates a Reinforcement Learning (RL) based computational framework for automatic mesh generation. Mesh generation, as one of six basic research directions identified in NASA Vision 2030, is an important area in computational geometry and plays a fundamental role in numerical simulations in the area of finite element analysis (FEA) and computational fluid dynamics (CFD). Existing mesh generation methods suffer from high computational complexity, low mesh quality in complex geometries, and speed limitations. By formulating the mesh generation as a Markov decision process (MDP) problem, we are able to use soft actorcritic, a state-of-the-art RL algorithm, to learn the meshing agent's policy from trials automatically, and achieve a fully automatic mesh generation system without human intervention and any extra clean-up operations, which are typically needed in current commercial software. In our experiments and comparison with a number of representative commercial software, our system demonstrates promising performance with respect to generalizability, robustness, and effectiveness.

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Towards fully regular quad mesh generation

Cited by 12 publications

References 17 publications

Meso‐Skeleton Guided Hexahedral Mesh Design

Meso‐Skeleton Guided Hexahedral Mesh Design

Studies on Finite Element Analysis in Hydroforming of Nimonic 90 Sheet

Reinforcement learning for automatic quadrilateral mesh generation: a soft actor-critic approach

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