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Journal articles on the topic 'Unstructured meshe'

Author: Grafiati

Published: 11 March 2023

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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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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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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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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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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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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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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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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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11

Wada, Yoshitaka, Takuji Hayashi, Masanori Kikuchi, and Fei Xu. "Improvement of Unstructured Quadrilateral Mesh Quality for Multigrid Analysis." Advanced Materials Research 33-37 (March 2008): 833–38. http://dx.doi.org/10.4028/www.scientific.net/amr.33-37.833.

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Due to more complex and severe design restrictions, more effective and faster finite element analyses are demanded. There are several ways to compute FE analysis efficiently: parallel computing, fast iterative or direct solvers, adaptive analysis and so on. One of the most effective analysis ways is the combination of adaptive analysis and multigrid iterative solver, because an adaptive analysis requires several meshes with difference resolutions and multigrid solver utilizes such meshes to accelerate its computation. However, convergence of multigrid solver is largely affected by initial shap

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Zheng, J., J. Zhu, Z. Wang, F. Fang, C. C. Pain, and J. Xiang. "A new multiscale air quality transport model (Fluidity, 4.1.9) using fully unstructured anisotropic adaptive mesh technology." Geoscientific Model Development Discussions 8, no. 6 (2015): 4337–74. http://dx.doi.org/10.5194/gmdd-8-4337-2015.

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Abstract. A new anisotropic hr-adaptive mesh technique has been applied to modelling of multiscale transport phenomena, which is based on a discontinuous Galerkin/control volume discretization on unstructured meshes. Over existing air quality models typically based on static-structured grids using a locally nesting technique, the advantage of the anisotropic hr-adaptive model has the ability to adapt the mesh according to the evolving pollutant distribution and flow features. That is, the mesh resolution can be adjusted dynamically to simulate the pollutant transport process accurately and eff

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Lewandowska, Natalia, and Jędrzej Mosiężny. "Meshing strategy for bifurcation arteries in the context of blood flow simulation accuracy." E3S Web of Conferences 128 (2019): 02003. http://dx.doi.org/10.1051/e3sconf/201912802003.

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The study presents a mesh dependency study for a carotid artery bifurcation geometry of a real-life specimen. The results of time-averaged velocity profiles at artery control surfaces and wall shear stresses are compared between a set of structured and unstructured meshes, with varying non–dimensional boundary layer first element thickness (y+) parameter. A set of four meshes in total is considered: a full–hexagonal structured mesh, an unstructured tetrahedral mesh with prism inflation layer, both created for y+=1 and y+=30. Apart from numerical results, overall mesh creation work time, overal

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Narayan, Akil, and Tao Zhou. "Stochastic Collocation on Unstructured Multivariate Meshes." Communications in Computational Physics 18, no. 1 (2015): 1–36. http://dx.doi.org/10.4208/cicp.020215.070515a.

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AbstractCollocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming standard tools used in a variety of applications. Selection of a collocation mesh is frequently a challenge, but methods that construct geometricallyunstructuredcollocation meshes have shown great potential due to attractive theoretical properties and direct, simple generation and implementation. We investigate properties of these meshe

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15

Zheng, Yao, Roland W. Lewis, and David T. Gethin. "Three-dimensional unstructured mesh generation: Part 2. Surface meshes." Computer Methods in Applied Mechanics and Engineering 134, no. 3-4 (1996): 269–84. http://dx.doi.org/10.1016/0045-7825(95)00917-5.

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Lewis, Roland W., Yao Zheng, and David T. Gethin. "Three-dimensional unstructured mesh generation: Part 3. Volume meshes." Computer Methods in Applied Mechanics and Engineering 134, no. 3-4 (1996): 285–310. http://dx.doi.org/10.1016/0045-7825(95)00918-3.

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Roberts, Keith J., William J. Pringle, and Joannes J. Westerink. "OceanMesh2D 1.0: MATLAB-based software for two-dimensional unstructured mesh generation in coastal ocean modeling." Geoscientific Model Development 12, no. 5 (2019): 1847–68. http://dx.doi.org/10.5194/gmd-12-1847-2019.

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Abstract. OceanMesh2D is a set of MATLAB functions with preprocessing and post-processing utilities to generate two-dimensional (2-D) unstructured meshes for coastal ocean circulation models. Mesh resolution is controlled according to a variety of feature-driven geometric and topo-bathymetric functions. Mesh generation is achieved through a force balance algorithm to locate vertices and a number of topological improvement strategies aimed at improving the worst-case triangle quality. The placement of vertices along the mesh boundary is adapted automatically according to the mesh size function,

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Skamarock, William C., Michael G. Duda, Soyoung Ha, and Sang-Hun Park. "Limited-Area Atmospheric Modeling Using an Unstructured Mesh." Monthly Weather Review 146, no. 10 (2018): 3445–60. http://dx.doi.org/10.1175/mwr-d-18-0155.1.

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Abstract A regional configuration of the atmospheric component of the Model for Prediction Across Scales (MPAS-A) is described and evaluated. It employs horizontally unstructured spherical centroidal Voronoi meshes (nominally hexagonal), and lateral boundary conditions used in rectangular grid regional models are adapted to the MPAS-A Voronoi mesh discretization. Test results using a perfect-model assumption show that the lateral boundary conditions are stable and robust. As found in other regional modeling studies, configurations using larger regional domains generally have smaller solution e

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Li, Jinxi, Jie Zheng, Jiang Zhu, et al. "Performance of Adaptive Unstructured Mesh Modelling in Idealized Advection Cases over Steep Terrains." Atmosphere 9, no. 11 (2018): 444. http://dx.doi.org/10.3390/atmos9110444.

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Advection errors are common in basic terrain-following (TF) coordinates. Numerous methods, including the hybrid TF coordinate and smoothing vertical layers, have been proposed to reduce the advection errors. Advection errors are affected by the directions of velocity fields and the complexity of the terrain. In this study, an unstructured adaptive mesh together with the discontinuous Galerkin finite element method is employed to reduce advection errors over steep terrains. To test the capability of adaptive meshes, five two-dimensional (2D) idealized tests are conducted. Then, the results of a

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20

Bercea, Gheorghe-Teodor, Andrew T. T. McRae, David A. Ham, et al. "A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake." Geoscientific Model Development 9, no. 10 (2016): 3803–15. http://dx.doi.org/10.5194/gmd-9-3803-2016.

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Abstract. We present a generic algorithm for numbering and then efficiently iterating over the data values attached to an extruded mesh. An extruded mesh is formed by replicating an existing mesh, assumed to be unstructured, to form layers of prismatic cells. Applications of extruded meshes include, but are not limited to, the representation of three-dimensional high aspect ratio domains employed by geophysical finite element simulations. These meshes are structured in the extruded direction. The algorithm presented here exploits this structure to avoid the performance penalty traditionally as

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21

Gansen, A., M. El Hachemi, S. Belouettar, O. Hassan, and K. Morgan. "A 3D Unstructured Mesh FDTD Scheme for EM Modelling." Archives of Computational Methods in Engineering 28, no. 1 (2020): 181–213. http://dx.doi.org/10.1007/s11831-019-09395-z.

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AbstractThe Yee finite difference time domain (FDTD) algorithm is widely used in computational electromagnetics because of its simplicity, low computational costs and divergence free nature. The standard method uses a pair of staggered orthogonal cartesian meshes. However, accuracy losses result when it is used for modelling electromagnetic interactions with objects of arbitrary shape, because of the staircased representation of curved interfaces. For the solution of such problems, we generalise the approach and adopt an unstructured mesh FDTD method. This co-volume method is based upon the us

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22

Wada, Yoshitaka, Jun'ichi Shinbori, and Masanori Kikuchi. "Adaptive FEM Analysis Technique Using Multigrid Method for Unstructured Hexahedral Meshes." Key Engineering Materials 306-308 (March 2006): 565–70. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.565.

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MG (multigrid) method is one of the most promising solvers for large scale problems. Hexahedral mesh generation and its adaptation are not enough to use for practical applications, because its mesh generation is very difficult and still labor intensive work by hand. We have developed hexahedral local refinement technique controlled by posterior error estimation. We have proposed a MG technique for unstructured hexahedral meshes with local mesh refinement. In this paper, the proposed technique is evaluated to check its performance and severe analyses of bending cantilevers. Performance of MG fo

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23

Zheng, J., J. Zhu, Z. Wang, F. Fang, C. C. Pain, and J. Xiang. "Towards a new multiscale air quality transport model using the fully unstructured anisotropic adaptive mesh technology of Fluidity (version 4.1.9)." Geoscientific Model Development 8, no. 10 (2015): 3421–40. http://dx.doi.org/10.5194/gmd-8-3421-2015.

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Abstract. An integrated method of advanced anisotropic hr-adaptive mesh and discretization numerical techniques has been, for first time, applied to modelling of multiscale advection–diffusion problems, which is based on a discontinuous Galerkin/control volume discretization on unstructured meshes. Over existing air quality models typically based on static-structured grids using a locally nesting technique, the advantage of the anisotropic hr-adaptive model has the ability to adapt the mesh according to the evolving pollutant distribution and flow features. That is, the mesh resolution can be

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24

Sheng, Chunhua, and Christian B. Allen. "Efficient Mesh Deformation Using Radial Basis Functions on Unstructured Meshes." AIAA Journal 51, no. 3 (2013): 707–20. http://dx.doi.org/10.2514/1.j052126.

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Ray, Navamita, Iulian Grindeanu, Xinglin Zhao, Vijay Mahadevan, and Xiangmin Jiao. "Array-based, parallel hierarchical mesh refinement algorithms for unstructured meshes." Computer-Aided Design 85 (April 2017): 68–82. http://dx.doi.org/10.1016/j.cad.2016.07.011.

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Soner, Seren, and Can Ozturan. "Generating Multibillion Element Unstructured Meshes on Distributed Memory Parallel Machines." Scientific Programming 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/437480.

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We present a parallel mesh generator called PMSH that is developed as a wrapper code around the open source sequential Netgen mesh generator. Parallelization of the mesh generator is carried out in five stages: (i) generation of a coarse volume mesh; (ii) partitioning of the coarse mesh; (iii) refinement of coarse surface mesh to produce fine surface submeshes; (iv) remeshing of each fine surface submesh to get a final fine mesh; (v) matching of partition boundary vertices followed by global vertex numbering. A new integer based barycentric coordinate method is developed for matching distribut

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Benzley, Steven E., Nathan J. Harris, Michael Scott, Michael Borden, and Steven J. Owen. "Conformal Refinement and Coarsening of Unstructured Hexahedral Meshes." Journal of Computing and Information Science in Engineering 5, no. 4 (2005): 330–37. http://dx.doi.org/10.1115/1.2052848.

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This paper describes recently developed procedures for local conformal refinement and coarsening of all-hexahedral unstructured meshes. Both refinement and coarsening procedures take advantage of properties found in the dual or “twist planes” of the mesh. A twist plane manifests itself as a conformal layer or sheet of hex elements within the global mesh. We suggest coarsening techniques that will identify and remove sheets to satisfy local mesh density criteria while not seriously degrading element quality after deletion. A two-dimensional local coarsening algorithm is introduced. We also expl

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Wang, Q., S. Danilov, D. Sidorenko, et al. "The Finite Element Sea Ice-Ocean Model (FESOM) v.1.4: formulation of an ocean general circulation model." Geoscientific Model Development 7, no. 2 (2014): 663–93. http://dx.doi.org/10.5194/gmd-7-663-2014.

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Abstract. The Finite Element Sea Ice-Ocean Model (FESOM) is the first global ocean general circulation model based on unstructured-mesh methods that has been developed for the purpose of climate research. The advantage of unstructured-mesh models is their flexible multi-resolution modelling functionality. In this study, an overview of the main features of FESOM will be given; based on sensitivity experiments a number of specific parameter choices will be explained; and directions of future developments will be outlined. It is argued that FESOM is sufficiently mature to explore the benefits of

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Wang, Q., S. Danilov, D. Sidorenko, et al. "The Finite Element Sea ice-Ocean Model (FESOM): formulation of an unstructured-mesh ocean general circulation model." Geoscientific Model Development Discussions 6, no. 3 (2013): 3893–976. http://dx.doi.org/10.5194/gmdd-6-3893-2013.

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Abstract. The Finite Element Sea ice-Ocean Model (FESOM) is the first global ocean general circulation model based on unstructured-mesh methods that has been developed for the purpose of climate research. The advantage of unstructured-mesh models is their flexible multi-resolution modelling functionality. In this study, an overview of the main features of FESOM will be given; based on sensitivity experiments a number of specific parameter choices will be explained; and directions of future developments will be outlined. It is argued that FESOM is sufficiently mature to explore the benefits of

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Liu, Hongbin, Hu Ren, Hanfeng Gu, Fei Gao, and Guangwen Yang. "UNAT: UNstructured Acceleration Toolkit on SW26010 many-core processor." Engineering Computations 37, no. 9 (2020): 3187–208. http://dx.doi.org/10.1108/ec-09-2019-0401.

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Purpose The purpose of this paper is to provide an automatic parallelization toolkit for unstructured mesh-based computation. Among all kinds of mesh types, unstructured meshes are dominant in engineering simulation scenarios and play an essential role in scientific computations for their geometrical flexibility. However, the high-fidelity applications based on unstructured grids are still time-consuming, no matter for programming or running. Design/methodology/approach This study develops an efficient UNstructured Acceleration Toolkit (UNAT), which provides friendly high-level programming int

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31

Ansari, SeyedMasoud, Ernst Schetselaar, James Craven, and Colin Farquharson. "Three-dimensional magnetotelluric numerical simulation of realistic geologic models." GEOPHYSICS 85, no. 5 (2020): E171—E190. http://dx.doi.org/10.1190/geo2019-0214.1.

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We have developed a workflow for constructing realistic mesh-based magnetotelluric (MT) models from 3D geologic models. The routine is developed for unstructured meshes that adapt to the complex shapes of geologic bodies including 3D surfaces and volumes in realistic modeling scenarios. The methodology is applied to the complexly altered Lalor volcanogenic massive sulfide deposit in Manitoba, Canada. The host rock envelope of the Lalor deposit is compartmentalized into lithostratigraphic units leading to a watertight model. This model then is meshed into unstructured tetrahedral meshes suitabl

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32

Androsov, Alexey, Vera Fofonova, Ivan Kuznetsov, et al. "FESOM-C v.2: coastal dynamics on hybrid unstructured meshes." Geoscientific Model Development 12, no. 3 (2019): 1009–28. http://dx.doi.org/10.5194/gmd-12-1009-2019.

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Abstract. We describe FESOM-C, the coastal branch of the Finite-volumE Sea ice – Ocean Model (FESOM2), which shares with FESOM2 many numerical aspects, in particular its finite-volume cell-vertex discretization. Its dynamical core differs in the implementation of time stepping, the use of a terrain-following vertical coordinate, and the formulation for hybrid meshes composed of triangles and quads. The first two distinctions were critical for coding FESOM-C as an independent branch. The hybrid mesh capability improves numerical efficiency, since quadrilateral cells have fewer edges than triang

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Zhang, Bo, Kim Wann Engebretsen, Gianluca Fiandaca, Hongzhu Cai, and Esben Auken. "3D inversion of time-domain electromagnetic data using finite elements and a triple mesh formulation." GEOPHYSICS 86, no. 3 (2021): E257—E267. http://dx.doi.org/10.1190/geo2020-0079.1.

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Over several decades, much research has been done to develop 3D electromagnetic inversion algorithms. Due to the computational complexity and the memory requirements for 3D time-domain electromagnetic (TEM) inversion algorithms, many real-world surveys are inverted within one dimension. To speed up calculations and manage memory for 3D inversions of TEM data, we have developed an approach using three uncoupled meshes: an inversion mesh, a forward-model mesh, and a mesh for Jacobian calculations. The inversion mesh is a coarse regular and structured mesh, such that constraints are easily enforc

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Bonfiglioli, Aldo, Renato Paciorri, and Andrea Di Mascio. "The Role of Mesh Generation, Adaptation, and Refinement on the Computation of Flows Featuring Strong Shocks." Modelling and Simulation in Engineering 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/631276.

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Within a continuum framework, flows featuring shock waves can be modelled by means of either shock capturing or shock fitting. Shock-capturing codes are algorithmically simple, but are plagued by a number of numerical troubles, particularly evident when shocks are strong and the grids unstructured. On the other hand, shock-fitting algorithms on structured grids allow to accurately compute solutions on coarse meshes, but tend to be algorithmically complex. We show how recent advances in computational mesh generation allow to relieve some of the difficulties encountered by shock capturing and co

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Liu, Yutong, Kerem Pekkan, S. Casey Jones, and Ajit P. Yoganathan. "The Effects of Different Mesh Generation Methods on Computational Fluid Dynamic Analysis and Power Loss Assessment in Total Cavopulmonary Connection." Journal of Biomechanical Engineering 126, no. 5 (2004): 594–603. http://dx.doi.org/10.1115/1.1800553.

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The flow field and energetic efficiency of total cavopulmonary connection (TCPC) models have been studied by both in vitro experiment and computational fluid dynamics (CFD). All the previous CFD studies have employed the structured mesh generation method to create the TCPC simulation model. In this study, a realistic TCPC model with complete anatomical features was numerically simulated using both structured and unstructured mesh generation methods. The flow fields and energy losses were compared in these two meshes. Two different energy loss calculation methods, the control volume and viscous

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Sidorenko, Dmitry, Sergey Danilov, Nikolay Koldunov, Patrick Scholz, and Qiang Wang. "Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes." Geoscientific Model Development 13, no. 7 (2020): 3337–45. http://dx.doi.org/10.5194/gmd-13-3337-2020.

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Abstract. Computation of barotropic and meridional overturning streamfunctions for models formulated on unstructured meshes is commonly preceded by interpolation to a regular mesh. This operation destroys the original conservation, which can be then artificially imposed to make the computation possible. An elementary method is proposed that avoids interpolation and preserves conservation in a strict model sense. The method is described as applied to the discretization of the Finite volumE Sea ice – Ocean Model (FESOM2) on triangular meshes. It, however, is generalizable to colocated vertex-bas

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Yang, Zhi, and Dimitri J. Mavriplis. "Mesh Deformation Strategy Optimized by the Adjoint Method on Unstructured Meshes." AIAA Journal 45, no. 12 (2007): 2885–96. http://dx.doi.org/10.2514/1.30592.

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Zhang, Xia-ping, Dai Zhou, and Yan Bao. "Mesh motion approach based on spring analogy method for unstructured meshes." Journal of Shanghai Jiaotong University (Science) 15, no. 2 (2010): 138–46. http://dx.doi.org/10.1007/s12204-010-9547-y.

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Zhang, Bo, Changchun Yin, Yunhe Liu, Xiuyan Ren, Vikas C. Baranwal, and Bin Xiong. "3D inversion of large-scale frequency-domain airborne electromagnetic data using unstructured local mesh." GEOPHYSICS 86, no. 5 (2021): E333—E342. http://dx.doi.org/10.1190/geo2020-0243.1.

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Airborne electromagnetic (AEM) methods have been more and more widely used in mineral exploration, environmental and engineering studies, and ground water investigation. However, compared with ground-based electromagnetic (EM) methods, such as magnetotelluric or controlled-source EM, AEM methods generally produce large amounts of data, which leads to very costly 3D EM inversions. We have developed a new 3D AEM inversion scheme based on the finite-element method and unstructured tetrahedral local meshes. This is different from the traditional local mesh method in that the traditional method use

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YAO, JIANYAO, G. R. LIU, DONG QIAN, CHUNG-LUNG CHEN, and GEORGE X. XU. "A MOVING-MESH GRADIENT SMOOTHING METHOD FOR COMPRESSIBLE CFD PROBLEMS." Mathematical Models and Methods in Applied Sciences 23, no. 02 (2013): 273–305. http://dx.doi.org/10.1142/s0218202513400046.

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A computational fluid dynamics (CFD) solver based on the gradient smoothing method (GSM) with moving mesh enabled is presented in this paper. The GSM uses unstructured meshes which could be generated and remeshed easily. The spatial derivatives of field variables at nodes and midpoints of cell edges are calculated using the gradient smoothing operations. The presented GSM codes use second-order Roes upwind flux difference splitting method and second-order 3-level backward differencing scheme for the compressible Navier–Stokes equations with moving mesh, and the second-order of accuracy for bot

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Shephard, Mark S. "Approaches to the Automatic Generation and Control of Finite Element Meshes." Applied Mechanics Reviews 41, no. 4 (1988): 169–85. http://dx.doi.org/10.1115/1.3151889.

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This review paper discusses the algorithmic approaches being taken to the development of finite element mesh generators capable of automatically discretizing general domains without the need for user intervention. The paper demonstrates that because of the modeling demands placed on an automatic mesh generator, all the approaches taken to date produce unstructured meshes. Consideration is also given to both a priori and a posteriori mesh control devices for automatic mesh generators as well as their integration with geometric modeling and adaptive analysis procedures.

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Jayasinghe, Savithru, David L. Darmofal, Eric Dow, Marshall C. Galbraith, and Steven R. Allmaras. "A Discretization-Independent Distributed Well Model." SPE Journal 24, no. 06 (2019): 2946–67. http://dx.doi.org/10.2118/198898-pa.

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Summary In this paper, we present a new well model for reservoir simulation. The proposed well model relates the volumetric flow rate and the bottomhole pressure (BHP) of the well to the reservoir pressure through a spatially distributed source term that is independent of the numerical method and the discrete mesh used to solve the flow problem. This is in contrast to the widely used Peaceman–type well models, which are inherently tied to a particular numerical discretization by the definition of an equivalent well radius. The proposed distributed well model does not require the calculation of

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Stupak, Eugeniuš, and Romualdas Baušys. "GENERATION OF THE UNSTRUCTURED FE-GRIDS FOR COMPLEX 2D OBJECTS/NESTRUKTŪRINIŲ BE TINKLŲ GENERAVIMAS SUDĖTINGIEMS DVIMAČIAMS OBJEKTAMS." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 6, no. 1 (2000): 17–24. http://dx.doi.org/10.3846/13921525.2000.10531559.

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For the numerical simulation of engineering problems, the finite element method (FEM) is among the most popular approaches. One of the main concerns in a finite element analysis is the adequacy of the finite element grid. The accuracy of the FEM depends on the size, shape and placement of the elements. On the other hand, the total computational cost is determined by the total number of elements in FE model. An increased accuracy can be obtained by the global reduction of the element size, but this can be characterised by drastically increased computational cost. Thus, in many engineering appli

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Leyland, Pénélope, Angelo Casagrande, and Yannick Savoy. "Parallel Mesh Adaptive Techniques Illustrated with Complex Compressible Flow Simulations." Modelling and Simulation in Engineering 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/317359.

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The aim of this paper is to discuss efficient adaptive parallel solution techniques on unstructured 2D and 3D meshes. We concentrate on the aspect of parallel a posteriori mesh adaptation. One of the main advantages of unstructured grids is their capability to adapt dynamically by localised refinement and derefinement during the calculation to enhance the solution accuracy and to optimise the computational time. Grid adaption also involves optimisation of the grid quality, which will be described here for both structural and geometrical optimisation.

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CHAN (MAIAA), K. I., and E. Y. K. NG (MASME). "MODIFIED DISTRIBUTION-FORMULA SCHEME FOR UNSTRUCTURED ADAPTIVE NAVIER-STOKES SOLVERS." International Journal of Computational Methods 02, no. 03 (2005): 375–400. http://dx.doi.org/10.1142/s021987620500051x.

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The development and validation of an improved distribution-formula method is presented in this paper. The original technique, an explicit, cell-vertex, finite volume formulation, involves calculating the change in flow variables in each finite volume cell by integration of the governing equations, and then using distribution formulas to distribute such changes to the vertices. Its application has largely been in structured meshes without mesh adaptation. The present work introduces three improvements. Firstly, the extension of the method for use on unstructured adaptive meshes. This results in

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Brown, David A., Siva Nadarajah, Hong Yang, et al. "Quality-Preserving Linear Elasticity Mesh Movement Algorithm for Multi-Element Unstructured Meshes." AIAA Journal 57, no. 2 (2019): 521–31. http://dx.doi.org/10.2514/1.j057463.

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Karman, Steve L., W. Kyle Anderson, and Mandar Sahasrabudhe. "Mesh Generation Using Unstructured Computational Meshes and Elliptic Partial Differential Equation Smoothing." AIAA Journal 44, no. 6 (2006): 1277–86. http://dx.doi.org/10.2514/1.15929.

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Katz, Aaron, and Venkateswaran Sankaran. "Mesh quality effects on the accuracy of CFD solutions on unstructured meshes." Journal of Computational Physics 230, no. 20 (2011): 7670–86. http://dx.doi.org/10.1016/j.jcp.2011.06.023.

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Knupp, Patrick M. "Applications of mesh smoothing: copy, morph, and sweep on unstructured quadrilateral meshes." International Journal for Numerical Methods in Engineering 45, no. 1 (1999): 37–45. http://dx.doi.org/10.1002/(sici)1097-0207(19990510)45:1<37::aid-nme577>3.0.co;2-f.

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Xu, He-Yong, Shi-Long Xing, Zheng-Yin Ye, and Ming-Sheng Ma. "A simple and conservative unstructured sliding-mesh approach for rotor–fuselage aerodynamic interaction simulation." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 231, no. 1 (2016): 163–79. http://dx.doi.org/10.1177/0954410016664919.

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A conservative unstructured sliding-mesh technique is developed for the rotor–fuselage aerodynamic interaction simulation. The computational domain is decomposed into a rotational zone and a stationary zone. The rotational zone contains the rotor blades that rotate with the zone, while the stationary zone contains the fuselage which keeps stationary during the simulation. The two zones are connected via a sliding interface, which is designed to be a cylindrical surface consisting of the top, bottom, and side surfaces. The top and bottom surfaces are paved with arbitrary triangles and the side

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