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Relevant bibliographies by topics / Unstructured meshe

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Journal articles

Academic literature on the topic 'Unstructured meshe'

Author: Grafiati

Published: 11 March 2023

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Journal articles on the topic "Unstructured meshe"

1

SCHNEIDERS, ROBERT. "OCTREE-BASED HEXAHEDRAL MESH GENERATION." International Journal of Computational Geometry & Applications 10, no. 04 (2000): 383–98. http://dx.doi.org/10.1142/s021819590000022x.

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An octree-based algorithm for the generation of hexahedral element meshes is presented. The algorithm works in three steps: (i) The geometry to be meshed is approximated by an octree structure. (ii) An unstructured hexahedral element mesh is derived from the octree. (iii) The mesh is adapted to the boundary of the geometry. We focus on step (ii) and describe an algorithm that constructs a hex mesh for a given octree structure.

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2

Noleto, Luciano Gonçalves, Manuel N. D. Barcelos, and Antonio C. P. Brasil. "A Pseudo-Stokes Mesh Motion Algorithm." Advances in Applied Mathematics and Mechanics 5, no. 2 (2013): 194–211. http://dx.doi.org/10.4208/aamm.11-m1186.

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AbstractThis work presents a moving mesh methodology based on the solution of a pseudo flow problem. The mesh motion is modeled as a pseudo Stokes problem solved by an explicit finite element projection method. The mesh quality requirements are satisfied by employing a null divergent velocity condition. This methodology is applied to triangular unstructured meshes and compared to well known approaches such as the ones based on diffusion and pseudo structural problems. One of the test cases is an airfoil with a fully meshed domain. A specific rotation velocity is imposed as the airfoil boundary

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3

Cai, Jian, Lan Chen, and Umezuruike Linus Opara. "Numerical Simulation of Powder Dispersion Performance by Different Mesh Types." Key Engineering Materials 680 (February 2016): 82–85. http://dx.doi.org/10.4028/www.scientific.net/kem.680.82.

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OBJECTIVE To investigate the influence of mesh type on numerical simulating the dispersion performance of micro-powders through a home-made tube. METHODS With the computational fluid dynamics (CFD) method, a powder dispersion tube was meshed in three different types, namely, tetrahedral, unstructured hexahedral and prismatic-tetrahedral hybrid meshes. The inner flow field and the kinetic characteristics of the particles were investigated. Results of the numerical simulation were compared with literature evidences. RESULTS The results showed that using tetrahedral mesh had the highest computati

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4

Song, Tao, Jiarong Wang, Danya Xu, et al. "Unsupervised Machine Learning for Improved Delaunay Triangulation." Journal of Marine Science and Engineering 9, no. 12 (2021): 1398. http://dx.doi.org/10.3390/jmse9121398.

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Physical oceanography models rely heavily on grid discretization. It is known that unstructured grids perform well in dealing with boundary fitting problems in complex nearshore regions. However, it is time-consuming to find a set of unstructured grids in specific ocean areas, particularly in the case of land areas that are frequently changed by human construction. In this work, an attempt was made to use machine learning for the optimization of the unstructured triangular meshes formed with Delaunay triangulation in the global ocean field, so that the triangles in the triangular mesh were clo

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5

Gustafsson, Tom. "simple technique for unstructured mesh generation via adaptive finite elements." Rakenteiden Mekaniikka 54, no. 2 (2021): 69–79. http://dx.doi.org/10.23998/rm.99648.

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This work describes a concise algorithm for the generation of triangular meshes with the help of standard adaptive finite element methods. We demonstrate that a generic adaptive finite element solver can be repurposed into a triangular mesh generator if a robust mesh smoothing algorithm is applied between the mesh refinement steps. We present an implementation of the mesh generator and demonstrate the resulting meshes via examples.

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6

Schneider, Teseo, Yixin Hu, Xifeng Gao, Jérémie Dumas, Denis Zorin, and Daniele Panozzo. "A Large-Scale Comparison of Tetrahedral and Hexahedral Elements for Solving Elliptic PDEs with the Finite Element Method." ACM Transactions on Graphics 41, no. 3 (2022): 1–14. http://dx.doi.org/10.1145/3508372.

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The Finite Element Method (FEM) is widely used to solve discrete Partial Differential Equations (PDEs) in engineering and graphics applications. The popularity of FEM led to the development of a large family of variants, most of which require a tetrahedral or hexahedral mesh to construct the basis. While the theoretical properties of FEM basis (such as convergence rate, stability, etc.) are well understood under specific assumptions on the mesh quality, their practical performance, influenced both by the choice of the basis construction and quality of mesh generation, have not been systematica

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7

Gruzintsev, I., M. Kornilina, and M. Yakobovskiy. "Adaptive 3D unstructured mesh refinement." E3S Web of Conferences 224 (2020): 01011. http://dx.doi.org/10.1051/e3sconf/202022401011.

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Algorithms for generating three-dimensional detailed computational meshes are considered. The algorithms are based on adaptive refinement of the original coarse meshes describing a 3D object. The purpose of adaptation is to form an accurate description of the volume and surface of a three-dimensional object for supercomputer modeling. Refinement of the boundary description is performed by projecting the cut elements of the coarse mesh onto the corresponding elements of the object’s surface.

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8

Peng, Biao, Chunhua Zhou, and Junqiang Ai. "Solution Reconstruction on Unstructured Tetrahedral Meshes Using P1-Conservative Interpolation." Advances in Applied Mathematics and Mechanics 8, no. 5 (2016): 847–70. http://dx.doi.org/10.4208/aamm.2015.m1087.

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AbstractThis paper extends an algorithm of P1-conservative interpolation on triangular meshes to tetrahedral meshes and thus constructs an approach of solution reconstruction for three-dimensional problems. The conservation property is achieved by local mesh intersection and the mass of a tetrahedron of the current mesh is calculated by the integral on its intersection with the background mesh. For each current tetrahedron, the overlapped background tetrahedrons are detected efficiently. A mesh intersection algorithm is proposed to construct the intersection of a current tetrahedron with the o

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9

Gao, Song, Jory Seguin, Wagdi G. Habashi, Dario Isola, and Guido Baruzzi. "A finite element solver for hypersonic flows in thermo-chemical non-equilibrium, Part II." International Journal of Numerical Methods for Heat & Fluid Flow 30, no. 2 (2019): 575–606. http://dx.doi.org/10.1108/hff-12-2018-0725.

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Purpose This work aims to describe the physical and numerical modeling of a CFD solver for hypersonic flows in thermo-chemical non-equilibrium. This paper is the second of a two-part series that concerns the application of the solver introduced in Part I to adaptive unstructured meshes. Design/methodology/approach The governing equations are discretized with an edge-based stabilized finite element method (FEM). Chemical non-equilibrium is simulated using a laminar finite-rate kinetics, while a two-temperature model is used to account for thermodynamic non-equilibrium. The equations for total q

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10

Knupp, Patrick M. "Algebraic mesh quality metrics for unstructured initial meshes." Finite Elements in Analysis and Design 39, no. 3 (2003): 217–41. http://dx.doi.org/10.1016/s0168-874x(02)00070-7.

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