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Evaluating Airfoil Mesh Quality with Transformer
Aerospace, 2023 Mesh quality is a major factor affecting the structure of computational fluid dynamics (CFD) calculations. Traditional mesh quality evaluation is based on the geometric factors of the mesh cells and does not effectively take into account the defects ...
Zhixiang Liu +7 more
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Algebraic Mesh Quality Metrics [PDF]
SIAM Journal of Scientific Computing, 2001 The author builds a mathematical theory of quality metrics for structured and unstructured meshes. A mesh has elements and nodes. An element quality metric is a scalar function of node positions that measures some geometric property of the element with the given nodes.
Patrick M Knupp
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An Alternating Mesh Quality Metric Scheme for Efficient Mesh Quality Improvement
Procedia Computer Science, 2011 AbstractIn the numerical solution of partial differential equations (PDEs), high-quality meshes are crucial for the stability, accuracy, and convergence of the associated PDE solver. Mesh quality improvement is often performed to improve the quality of meshes before use in numerical solution of the PDE.
Suzanne M Shontz
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A Neural Network-Based Mesh Quality Indicator for Three-Dimensional Cylinder Modelling [PDF]
Entropy, 2022 Evaluating mesh quality prior to performing the computational fluid dynamics (CFD) simulation is an essential step to ensure the acceptable accuracy of cylinder modelling.
Xinhai Chen +4 more
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Developing a new mesh quality evaluation method based on convolutional neural network
Engineering Applications of Computational Fluid Mechanics, 2020 One of the difficult requirements imposed on high-quality CFD mesh generation has been the ability to evaluate the mesh quality efficiently. Due to the lack of a general and effective evaluating criterion, the current mesh quality evaluation task mainly ...
Xinhai Chen +5 more
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A multiobjective mesh optimization framework for mesh quality improvement and mesh untangling [PDF]
International Journal for Numerical Methods in Engineering, 2013 SUMMARYWe propose a multiobjective mesh optimization framework for mesh quality improvement and mesh untangling. Our framework combines two or more competing objective functions into a single objective function to be solved using one of various multiobjective optimization methods. Methods within our framework are able to optimize various aspects of the
Jibum Kim, Suzanne M Shontz
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The role of mesh quality and mesh quality indicators in the virtual element method [PDF]
Advances in Computational Mathematics, 2021 26 ...
T Sorgente +3 more
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Designing Parallel Adaptive Laplacian Smoothing for Improving Tetrahedral Mesh Quality on the GPU
Applied Sciences, 2021 Mesh quality is a critical issue in numerical computing because it directly impacts both computational efficiency and accuracy. Tetrahedral meshes are widely used in various engineering and science applications.
Ning Xi, Yingjie Sun, Lei Xiao, Gang Mei
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Anisotropic mesh quality measures and adaptation for polygonal meshes [PDF]
Journal of Computational Physics, 2020 Anisotropic mesh quality measures and anisotropic mesh adaptation are studied for polygonal meshes. Three sets of alignment and equidistribution measures are developed, one based on least squares fitting, one based on generalized barycentric mapping, and the other based on singular value decomposition of edge matrices.
Weizhang Huang, Yanqiu Wang
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Mathematics, 2023 With the rapid advancement of computer graphics and three-dimensional modeling technology, the processing and optimization of three-dimensional (3D) models have become contentious research topics.
Han Chang +5 more
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