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Journal articles on the topic 'Adaptatif mesh'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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1

Li, Xiangrong, Mark S. Shephard, and Mark W. Beall. "3D anisotropic mesh adaptation by mesh modification." Computer Methods in Applied Mechanics and Engineering 194, no. 48-49 (2005): 4915–50. http://dx.doi.org/10.1016/j.cma.2004.11.019.

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2

Alauzet, Frédéric, Xiangrong Li, E. Seegyoung Seol, and Mark S. Shephard. "Parallel anisotropic 3D mesh adaptation by mesh modification." Engineering with Computers 21, no. 3 (2006): 247–58. http://dx.doi.org/10.1007/s00366-005-0009-3.

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3

Tang, Jing, Jian Zhang, Bin Li, and Nai-Chun Zhou. "Unsteady flow simulation with mesh adaptation." International Journal of Modern Physics B 34, no. 14n16 (2020): 2040080. http://dx.doi.org/10.1142/s0217979220400809.

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Mesh adaptation is a reliable and effective method to improve the precision of flow simulation with computational fluid dynamics. Mesh refinement is a common technique to simulate steady flows. In order to dynamically optimize the mesh for transient flows, mesh coarsening is also required to be involved in an iterative procedure. In this paper, we propose a robust mesh adaptation method, both refinement and coarsening included. A data structure of [Formula: see text]-way tree is adopted to save and access the parent–children relationship of mesh elements. Local element subdivision is employed to refine mesh, and element mergence is devised to coarsen mesh. The unrefined elements adjacent to a refined element are converted to polyhedrons to eliminate suspending points, which can also prevent refinement diffusing from one refined element to its neighbors. Based on an adaptation detector for vortices recognizing, the mesh adaptation was integrated to simulate the unsteady flow around a tri-wedges. The numerical results show that the mesh zones where vortices located are refined in real time and the vortices are resolved better with mesh adaptation.

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4

Huang, Weizhang. "Measuring Mesh Qualities and Application to Variational Mesh Adaptation." SIAM Journal on Scientific Computing 26, no. 5 (2005): 1643–66. http://dx.doi.org/10.1137/s1064827503429405.

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5

Weller, Hilary. "Predicting mesh density for adaptive modelling of the global atmosphere." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367, no. 1907 (2009): 4523–42. http://dx.doi.org/10.1098/rsta.2009.0151.

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The shallow water equations are solved using a mesh of polygons on the sphere, which adapts infrequently to the predicted future solution. Infrequent mesh adaptation reduces the cost of adaptation and load-balancing and will thus allow for more accurate mapping on adaptation. We simulate the growth of a barotropically unstable jet adapting the mesh every 12 h. Using an adaptation criterion based largely on the gradient of the vorticity leads to a mesh with around 20 per cent of the cells of a uniform mesh that gives equivalent results. This is a similar proportion to previous studies of the same test case with mesh adaptation every 1–20 min. The prediction of the mesh density involves solving the shallow water equations on a coarse mesh in advance of the locally refined mesh in order to estimate where features requiring higher resolution will grow, decay or move to. The adaptation criterion consists of two parts: that resolved on the coarse mesh, and that which is not resolved and so is passively advected on the coarse mesh. This combination leads to a balance between resolving features controlled by the large-scale dynamics and maintaining fine-scale features.

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6

Khattri, Sanjay Kumar. "An effective quadrilateral mesh adaptation." Journal of Zhejiang University-SCIENCE A 7, no. 12 (2006): 2018–21. http://dx.doi.org/10.1631/jzus.2006.a2018.

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7

Claisse, Alexandra, Vincent Ducrot, and Pascal Frey. "Levelsets and anisotropic mesh adaptation." Discrete and Continuous Dynamical Systems 23, no. 1/2 (2008): 165–83. http://dx.doi.org/10.3934/dcds.2009.23.165.

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8

Lo, S. H., and H. Borouchaki. "Mesh generation – Applications and adaptation." Finite Elements in Analysis and Design 46, no. 1-2 (2010): 1. http://dx.doi.org/10.1016/j.finel.2009.10.005.

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9

Chen, Ke. "Error Equidistribution and Mesh Adaptation." SIAM Journal on Scientific Computing 15, no. 4 (1994): 798–818. http://dx.doi.org/10.1137/0915050.

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10

Digonnet, Hugues, Thierry Coupez, Patrice Laure, and Luisa Silva. "Massively parallel anisotropic mesh adaptation." International Journal of High Performance Computing Applications 33, no. 1 (2017): 3–24. http://dx.doi.org/10.1177/1094342017693906.

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Mesh adaptation has proven to be very efficient for simulating transient multiphase computational fluid dynamics applications. In this work, we present a new parallel anisotropic mesh adaptation technique relying on an edge based error estimator. It provides a high level of accuracy while substantially reducing the computational effort. This technique enables a good capture of physical phenomena, boundary layers, interfaces, free surfaces and even multiphase turbulent flows, and has a great potential to simulate a large variety of applications. Current investigations explore the performance of the new algorithm on massively parallel resources. In this paper, we show that the developed adaptive meshing works very well in a parallel environment involving topological mesh modifications and dynamic repartitioning of parallel slots. It is also shown that the proposed methodology provides an additional gain in terms of computational cost due the production of a non-uniform mesh size distribution. Runs performed on national and European supercomputers will show the scalability and pertinence of our developments.

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11

Caplan, Philip Claude, Robert Haimes, David L. Darmofal, and Marshall C. Galbraith. "Four-Dimensional Anisotropic Mesh Adaptation." Computer-Aided Design 129 (December 2020): 102915. http://dx.doi.org/10.1016/j.cad.2020.102915.

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12

Löhner, Rainald. "Mesh adaptation in fluid mechanics." Engineering Fracture Mechanics 50, no. 5-6 (1995): 819–47. http://dx.doi.org/10.1016/0013-7944(94)e0062-l.

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13

Courty, Francois, David Leservoisier, Paul-Louis George, and Alain Dervieux. "Continuous metrics and mesh adaptation." Applied Numerical Mathematics 56, no. 2 (2006): 117–45. http://dx.doi.org/10.1016/j.apnum.2005.03.001.

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14

Chiappa, Alberto Silvio, Stefano Micheletti, Riccardo Peli, and Simona Perotto. "Mesh adaptation-aided image segmentation." Communications in Nonlinear Science and Numerical Simulation 74 (July 2019): 147–66. http://dx.doi.org/10.1016/j.cnsns.2019.03.010.

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15

Lukáčová-Medvid'ová, Mária, and Nikolaos Sfakianakis. "Entropy dissipation of moving mesh adaptation." Journal of Hyperbolic Differential Equations 11, no. 03 (2014): 633–53. http://dx.doi.org/10.1142/s0219891614500192.

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Non-uniform grids and mesh adaptation have become an important part of numerical approximations of differential equations over the past decades. It has been experimentally noted that mesh adaptation leads not only to locally improved solution but also to numerical stability of the underlying method. In this paper we consider nonlinear conservation laws and provide a method to perform the analysis of the moving mesh adaptation method, including both the mesh reconstruction and evolution of the solution. We moreover employ this method to extract sufficient conditions — on the adaptation of the mesh — that stabilize a numerical scheme in the sense of the entropy dissipation.

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16

Rassineux, A., P. Breitkopf, and P. Villon. "Simultaneous surface and tetrahedron mesh adaptation using mesh-free techniques." International Journal for Numerical Methods in Engineering 57, no. 3 (2003): 371–89. http://dx.doi.org/10.1002/nme.681.

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17

Li, Xianping, and Weizhang Huang. "Anisotropic Mesh Adaptation for 3D Anisotropic Diffusion Problems with Application to Fractured Reservoir Simulation." Numerical Mathematics: Theory, Methods and Applications 10, no. 4 (2017): 913–40. http://dx.doi.org/10.4208/nmtma.2017.m1625.

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AbstractAnisotropic mesh adaptation is studied for linear finite element solution of 3D anisotropic diffusion problems. The 𝕄-uniform mesh approach is used, where an anisotropic adaptive mesh is generated as a uniform one in the metric specified by a tensor. In addition to mesh adaptation, preservation of the maximum principle is also studied. Some new sufficient conditions for maximum principle preservation are developed, and a mesh quality measure is defined to server as a good indicator. Four different metric tensors are investigated: one is the identity matrix, one focuses on minimizing an error bound, another one on preservation of the maximum principle, while the fourth combines both. Numerical examples show that these metric tensors serve their purposes. Particularly, the fourth leads to meshes that improve the satisfaction of the maximum principle by the finite element solution while concentrating elements in regions where the error is large. Application of the anisotropic mesh adaptation to fractured reservoir simulation in petroleum engineering is also investigated, where unphysical solutions can occur and mesh adaptation can help improving the satisfaction of the maximum principle.

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18

DRAKE, R., and V. S. MANORANJAN. "A METHOD OF DYNAMIC MESH ADAPTATION." International Journal for Numerical Methods in Engineering 39, no. 6 (1996): 939–49. http://dx.doi.org/10.1002/(sici)1097-0207(19960330)39:6<939::aid-nme888>3.0.co;2-a.

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19

Wada, Yoshitaka, and Hiroshi Okuda. "Effective adaptation technique for hexahedral mesh." Concurrency and Computation: Practice and Experience 14, no. 6-7 (2002): 451–63. http://dx.doi.org/10.1002/cpe.624.

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20

Sajja, Udaya K., and Sergio D. Felicelli. "Modeling Freckle Segregation with Mesh Adaptation." Metallurgical and Materials Transactions B 42, no. 6 (2011): 1118–29. http://dx.doi.org/10.1007/s11663-011-9565-7.

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21

Khattri, Sanjay Kumar. "A simple and effective mesh adaptation." Applied Mathematics Letters 22, no. 3 (2009): 369–73. http://dx.doi.org/10.1016/j.aml.2008.04.011.

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22

Becker, R. "Mesh Adaptation for Stationary Flow Control." Journal of Mathematical Fluid Mechanics 3, no. 4 (2001): 317–41. http://dx.doi.org/10.1007/pl00000974.

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23

Jensen, Kristian Ejlebjerg, and Gerard Gorman. "Details of tetrahedral anisotropic mesh adaptation." Computer Physics Communications 201 (April 2016): 135–43. http://dx.doi.org/10.1016/j.cpc.2015.12.002.

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24

Frey, P. J., and F. Alauzet. "Anisotropic mesh adaptation for CFD computations." Computer Methods in Applied Mechanics and Engineering 194, no. 48-49 (2005): 5068–82. http://dx.doi.org/10.1016/j.cma.2004.11.025.

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25

Huang, Weizhang. "Variational Mesh Adaptation: Isotropy and Equidistribution." Journal of Computational Physics 174, no. 2 (2001): 903–24. http://dx.doi.org/10.1006/jcph.2001.6945.

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26

Nikiforakis, N. "Mesh generation and mesh adaptation for large-scale Earth-system modelling." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367, no. 1907 (2009): 4473–81. http://dx.doi.org/10.1098/rsta.2009.0197.

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27

Zhou, C. H. "Simulation of Vortex Convection in a Compressible Viscous Flow with Dynamic Mesh Adaptation." Advances in Applied Mathematics and Mechanics 6, no. 5 (2014): 590–603. http://dx.doi.org/10.4208/aamm.2013.m289.

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AbstractIn this work, vortex convection is simulated using a dynamic mesh adaptation procedure. In each adaptation period, the mesh is refined in the regions where the phenomena evolve and is coarsened in the regions where the phenomena deviate since the last adaptation. A simple indicator of mesh adaptation that accounts for the solution progression is defined. The generation of dynamic adaptive meshes is based on multilevel refinement/coarsening. The efficiency and accuracy of the present procedure are validated by simulating vortex convection in a uniform flow. Two unsteady compressible turbulent flows involving blade-vortex interactions are investigated to demonstrate further the applicability of the procedure. Computed results agree well with the published experimental data or numerical results.

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28

Reuss, S., and G. D. Stubley. "AN IMPROVED ERROR INDICATOR FOR MESH ADAPTATION." Numerical Heat Transfer, Part B: Fundamentals 43, no. 1 (2003): 1–18. http://dx.doi.org/10.1080/713836149.

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29

Hempel, Daniel. "Local Mesh Adaptation in Two Space Dimensions." IMPACT of Computing in Science and Engineering 5, no. 4 (1993): 309–17. http://dx.doi.org/10.1006/icse.1993.1014.

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30

Li, Xiangrong, Mark S. Shephard, and Mark W. Beall. "Accounting for curved domains in mesh adaptation." International Journal for Numerical Methods in Engineering 58, no. 2 (2003): 247–76. http://dx.doi.org/10.1002/nme.772.

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31

Dobrzynski, Cécile, Maxime Melchior, Laurent Delannay, and Jean-François Remacle. "A mesh adaptation procedure for periodic domains." International Journal for Numerical Methods in Engineering 86, no. 12 (2011): 1396–412. http://dx.doi.org/10.1002/nme.3106.

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32

Marrocu, M., and D. Ambrosi. "Mesh adaptation strategies for shallow water flow." International Journal for Numerical Methods in Fluids 31, no. 2 (1999): 497–512. http://dx.doi.org/10.1002/(sici)1097-0363(19990930)31:2<497::aid-fld888>3.0.co;2-u.

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33

Felcman, JirÌÃ, and Petr Kubera. "A mesh adaptation for non-stationary problems." PAMM 7, no. 1 (2007): 2100007–8. http://dx.doi.org/10.1002/pamm.200700049.

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34

Alauzet, F., P. L. George, B. Mohammadi, P. Frey, and H. Borouchaki. "Transient fixed point-based unstructured mesh adaptation." International Journal for Numerical Methods in Fluids 43, no. 6-7 (2003): 729–45. http://dx.doi.org/10.1002/fld.548.

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35

Dufour, S., G. Vinsard, and B. Laporte. "Mesh adaptation by modifying the node positions." European Physical Journal Applied Physics 13, no. 3 (2001): 195–200. http://dx.doi.org/10.1051/epjap:2001102.

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36

Calvetti, Daniela, Anna Cosmo, Simona Perotto, and Erkki Somersalo. "Bayesian Mesh Adaptation for Estimating Distributed Parameters." SIAM Journal on Scientific Computing 42, no. 6 (2020): A3878—A3906. http://dx.doi.org/10.1137/20m1326222.

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37

Cao, Weiming, Ricardo Carretero-González, Weizhang Huang, and Robert D. Russell. "Variational Mesh Adaptation Methods for Axisymmetrical Problems." SIAM Journal on Numerical Analysis 41, no. 1 (2003): 235–57. http://dx.doi.org/10.1137/s0036142902401591.

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38

Zhao, Shanghong, Wei Tsang Ooi, Axel Carlier, Geraldine Morin, and Vincent Charvillat. "Bandwidth adaptation for 3D mesh preview streaming." ACM Transactions on Multimedia Computing, Communications, and Applications 10, no. 1s (2014): 1–20. http://dx.doi.org/10.1145/2537854.

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39

Miron, Philippe, Jérôme Vétel, André Garon, Michel Delfour, and Mouhammad El Hassan. "Anisotropic mesh adaptation on Lagrangian Coherent Structures." Journal of Computational Physics 231, no. 19 (2012): 6419–37. http://dx.doi.org/10.1016/j.jcp.2012.06.015.

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40

Pagnutti, Doug, and Carl Ollivier-Gooch. "Two-dimensional Delaunay-based anisotropic mesh adaptation." Engineering with Computers 26, no. 4 (2009): 407–18. http://dx.doi.org/10.1007/s00366-009-0143-4.

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41

Jiao, Xiangmin, Andrew Colombi, Xinlai Ni, and John Hart. "Anisotropic mesh adaptation for evolving triangulated surfaces." Engineering with Computers 26, no. 4 (2009): 363–76. http://dx.doi.org/10.1007/s00366-009-0170-1.

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42

Ibanez, D. A., E. Love, T. E. Voth, J. R. Overfelt, N. V. Roberts, and G. A. Hansen. "Tetrahedral mesh adaptation for Lagrangian shock hydrodynamics." Computers & Mathematics with Applications 78, no. 2 (2019): 402–16. http://dx.doi.org/10.1016/j.camwa.2018.06.013.

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43

Sandhu, J. S., F. C. M. Menandro, H. Liebowitz, and E. T. Moyer. "Hierarchical mesh adaptation of 2D quadrilateral elements." Engineering Fracture Mechanics 50, no. 5-6 (1995): 727–35. http://dx.doi.org/10.1016/0013-7944(94)e0057-n.

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44

Wise, Elliott S., Ben T. Cox, and Bradley E. Treeby. "Bandwidth-based mesh adaptation in multiple dimensions." Journal of Computational Physics 371 (October 2018): 651–62. http://dx.doi.org/10.1016/j.jcp.2018.06.009.

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45

Churilova, Maria. "Analysis of marking criteria for mesh adaptation in Cosserat elasticity." MATEC Web of Conferences 245 (2018): 08004. http://dx.doi.org/10.1051/matecconf/201824508004.

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The article is devoted to comparison of finite element marking criteria for adaptive mesh refinement while solving plane Cosserat elasticity problems. The goal is to compare the resulting adaptive meshes obtained with different marking strategies. Mesh refinement and error control is done using the functional type a posteriori error majorant. Implemented algorithms use the zero-order Raviart-Thomas approximation on triangular meshes. Four widely used marking criteria are utilized for mesh adaptation. The comparative analysis is presented for two plane-strain problems.

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46

Ghosh, S., and S. Raju. "Localized metal forming simulation by r-s-adapted arbitrary Lagrangian-Eulerian finite element method." Journal of Strain Analysis for Engineering Design 32, no. 4 (1997): 237–52. http://dx.doi.org/10.1243/0309324971513373.

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In this paper, an adaptive arbitrary Lagrangian—Eulerian (ALE) large deformation finite element method (FEM) is developed for solving metal forming problems with strain localization. The ALE mesh movement is coupled with r-adaptation of automatic node relocation to minimize mesh distortion during the process of deformation. A strain localization phenomenon is incorporated through constitutive relations for porous ductile materials. Prediction of localized deformation is achieved through a multilevel mesh superimposition method, called s-adaptation. A few metal forming problems are simulated to test the effectiveness of this model.

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47

Liu, Qing-Fang, Bao-Sheng Kang, Hai-Yun Liu, Hong-An Li, Rui Chen, and Gui-Xian Liu. "Efficient Medical Image Adaption via Axis-Aligned Mesh Deformation." Journal of Medical Imaging and Health Informatics 11, no. 8 (2021): 2110–16. http://dx.doi.org/10.1166/jmihi.2021.3547.

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Content-aware medical image adaptation can make medical images be well presented on different display devices. The existing adaption algorithms mainly consider the visual effect of salient regions, such as specific organ areas of the patient body, but either ignore the quality of unimportant areas or execute more slowly. In order to enhance the effect of adaption and accelerate the speed of adaptation, we propose an efficient medical image adaptation method via axis-aligned mesh deformation. With this method, importance map is firstly produced by combing the weighted edge map and saliency map. Then, integer programming is used to initialize and deform the axis-aligned mesh based on importance map. Finally, image adaptation is operated rapidly by bi-linear interpolation. With the proposed method, the real-time image adaptation can be realized, and not only the visual effect of the significant areas but also the contour integrity and continuity of the non significant areas can be maintained. Experiments on open data-sets show that the proposed method has high efficiency, better effect and strong stability, and is suitable for real-time image adaptation.

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48

Remaki, L., and W. G. Habashi. "A posteriori error estimate improvement in mesh adaptation for computer fluid dynamics applications." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 5 (2008): 1117–26. http://dx.doi.org/10.1243/09544062jmes1165.

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The objective of this work is to study, in a first part, the impact of mesh adaptation on computational estimates of lift and drag coefficients. The convergence of these quantities with successive adaptation is demonstrated by comparing with experimental results. As a second part, optimization of relevant adaptation parameters to accelerate the convergence is investigated. A combination of adaptation variables is proposed to better capture some physical features that are poorly represented when a single variable is used. On the other hand, a new error metric is derived from both Hessian and gradient that are used separately in the framework of mesh adaptation in general. The impact of the proposed improvements is demonstrated through test cases.

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49

Oliker, Leonid, Rupak Biswas, and Harold N. Gabow. "Parallel tetrahedral mesh adaptation with dynamic load balancing." Parallel Computing 26, no. 12 (2000): 1583–608. http://dx.doi.org/10.1016/s0167-8191(00)00047-8.

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50

Szymczak, Arkadiusz, Anna Paszýnska, Maciej Paszýnski, and David Pardo. "Anisotropic 2D mesh adaptation in hp-adaptive FEM." Procedia Computer Science 4 (2011): 1818–27. http://dx.doi.org/10.1016/j.procs.2011.04.197.

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