A smoothed finite element method for octree-based polyhedral meshes with large number of hanging nodes and irregular elements

Huo, S.H.; Liu, G.R.; Zhang, Junqi; Song, Chongmin

doi:10.1016/j.cma.2019.112646

Cited by 29 publications

(7 citation statements)

References 44 publications

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“…This section gives a brief introduction to the SD, and the more detailed introduction can refer to [22,29,30]. The division of SDs has many different forms, and different forms have different advantages and characteristics [20].…”

Section: The Smoothed Domainmentioning

confidence: 99%

Fast electrothermal coupling calculation method for supporting digital twin construction of electrical equipment

et al. 2022

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The failure of electrical equipment directly or indirectly caused by overheating has become one of the main reasons for equipment accidents. The real-time condition monitoring method of electrical equipment based on digital twin (DT) has received extensive attention and is considered as a technology with great engineering values and excellent application prospects. However, the current calculation of DT mostly relies on the traditional finite element method (CFEM). This method becomes less computationally efficient as the size of the DT increases, especially for electrical equipment with high complexity. It is difficult to meet the requirements real-time calculation in DT. Therefore, starting from the algorithm optimization and parallel architecture, based on the weighted residual method and stabilised conforming nodal integration, a novel discrete method of electrothermal coupling equation is proposed and the data storage structure of the algorithm from the bottom layer is redesigned, and the corresponding GPU and multi-core CPU parallel framework are proposed. Finally, taking the high voltage bushing as an example, the correctness of the method in this paper is verified by the CFEM code and commercial software ABAQUS. Under the same grid and accuracy requirement, the calculation time is shortened by at least five times than ABAQUS. And the method is easy to extend to other types of multi-physics calculations.

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Section: The Smoothed Domainmentioning

confidence: 99%

Fast electrothermal coupling calculation method for supporting digital twin construction of electrical equipment

et al. 2022

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“…Triangle [22] and TetGen [23] are capable of re-meshing a pure triangular or tetrahedral mesh, however, to our knowledge, there are no Quadtree/Octree based re-meshing techniques for producing conform meshes. There are some works like [10,11] that use balanced Quadtree and Octree meshes, but in the end, they need to modify the standard FEM so the simulation is performed over general polygons and polyhedrons, respectively.…”

Section: State Of the Artmentioning

confidence: 99%

“…10 0.75 10 0.8 10 0.85 10 0.9 10 0.95 10 1 10 1.05 10 The next example exhibit even better the improvement in time brought by the optimized version. RL are varying in a [1][2][3][4][5][6][7][8][9][10][11][12] range, but are constrained only at the boundary. This kind of tool is very useful to reduce the number of elements in inner parts.…”

Section: D Mesh Generationmentioning

confidence: 99%

Fast Quadtree/Octree adaptive meshing and re-meshing with linear mixed elements

Jaillet

Lobos

2021

Engineering with Computers

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In this paper, we will focus on adaptive meshing and re-meshing. We present an original approach, based on Quadtree and Octree, to construct the initial mesh and refine it using mixed-elements. We propose a fast algorithm using a determined set of Patterns to handle transitions between fine and coarse regions, and to closely approximate surface boundaries. An optimized structure for storing edges permits to efficiently manage neighbor information, dramatically reducing the balancing time. Results, both in 2D and 3D, exhibit the multiple possibilities for local refinements. Comparisons in terms of accuracy, number of elements in the resulting mesh, and computation time, clearly position our method as a competitive alternative to generate a conform adapted mesh, which can be used with standard numerical methods.Keywords Mesh reconstruction • Adaptive refinement • Mixed-element mesh • Balanced Quadtree/Octree • Edge data structure Article Highlights -A fast meshing/re-meshing algorithm using deterministic patterns, suited for numerical simulation -Mixed-elements are used to produce conform transitions and manage domain boundaries -An optimized edge data structure for neighbor search is proposed to accelerate balancing of Quadtree and Octree meshes

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“…The Smoothed Finite Element Method (SFEM) is a representative high-precision numerical model that improves upon the finite element method. It discretizes control equations by partitioning smooth domains, simplifies the integration process using methods such as Lagrange approximation, reduces the demands on grid quality, and exhibits characteristics such as high computational accuracy, strong adaptability of grid elements, and high computational efficiency [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

A method for nonlinear electric-thermal coupling calculations of bushings based on unbiased gradient-free smooth domains

Feng,

Yang,

Gao

et al. 2024

PLoS ONE

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High-voltage dry-type bushings, serving as the crucial junctions in DC power transmission, represent equipment with the highest failure rate on the DC primary side, underscoring the critical importance of monitoring their condition. Presently, numerical simulation methods are commonly employed to assess the internal state of bushings. However, due to limitations in the efficiency of multi-physics field computations, the guidance provided by numerical simulation results in the field of power equipment condition assessment is relatively weak. This paper focuses on solving the electrical-thermal coupling in high-voltage dry-type bushings. Addressing the most widely used tetrahedral mesh in numerical computations, we propose an efficient solution method based on the concept of "smooth domains." This method involves partitioning the volume centroids of the elements into multiple smooth domains within the computational domain. Electric and thermal conduction matrix calculations occur within these smooth domains, rather than within the grid or element interiors. This approach eliminates the need for traditional element mapping and complex volume integration. To demonstrate the effectiveness of this method, we use high-voltage dry-type bushings as a case study, comparing the performance of our approach with traditional finite element algorithms. We verify the algorithm’s computational efficiency and apply it to the analysis of typical temperature anomalies in bushings, further illustrating its suitability for electrical equipment condition assessment.

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A smoothed finite element method for octree-based polyhedral meshes with large number of hanging nodes and irregular elements

Cited by 29 publications

References 44 publications

Fast electrothermal coupling calculation method for supporting digital twin construction of electrical equipment

Fast electrothermal coupling calculation method for supporting digital twin construction of electrical equipment

Fast Quadtree/Octree adaptive meshing and re-meshing with linear mixed elements

A method for nonlinear electric-thermal coupling calculations of bushings based on unbiased gradient-free smooth domains

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