1999
DOI: 10.1109/20.767204
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3-D automatic mesh generation for FEA using dynamic bubble system

Abstract: In this paper, an extension of the previously developed 2-D dynamic bubble system for 3-D automatic mesh generation using tetrahedral finite elements is presented, Initially, a set of vertices inside the entire analysis region is generated using 3-D dynamic bubble system, followed by automatic mesh generation according to the Delaunay tessellation algorithm and the generated set of vertices. The proposed method is highly robust and easily applicable to convex and concave analysis domains with various geometric… Show more

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Cited by 25 publications
(17 citation statements)
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“…In the proposed system, since the bubble movement is performed independently in every tetrahedral subdivision, the total computation for distance between far bubbles is reduced for shortening the computation cost. The previous dynamic bubble system [4] has a problem with respect to the memory size of GPU. Because the space of considering the bubble force was restricted to the initial subdivision in the proposed method, the used memory of GPU can be saved.…”
Section: A Subdivided Dynamic Bubble Systemmentioning
confidence: 99%
See 1 more Smart Citation
“…In the proposed system, since the bubble movement is performed independently in every tetrahedral subdivision, the total computation for distance between far bubbles is reduced for shortening the computation cost. The previous dynamic bubble system [4] has a problem with respect to the memory size of GPU. Because the space of considering the bubble force was restricted to the initial subdivision in the proposed method, the used memory of GPU can be saved.…”
Section: A Subdivided Dynamic Bubble Systemmentioning
confidence: 99%
“…The force f i , which depends on the center position and the distances from its center to the center of the neighboring bubbles, is mathematically modeled by the van der Waals force [4]. Let d denote the distance between the centers of two adjacent bubbles, and the van der Waals force acting on the bubbles is approximated by the 3rd order polynomials, as shown in Fig.…”
Section:  mentioning
confidence: 99%
“…with n k = |D a| (8) where k is the number of steps of the MFLE probability decreasing process, D is the element that has already updated the MFLE probability in Step 3 or 5, and a is the adjacent element of D k−1 . When γ k+1 is equal to 0.0 and j is smaller than N p , increase j by 1 and return to Step 3.…”
Section: Calculation Proceduresmentioning
confidence: 99%
“…The analysis models distribute to slaves, and they analyze the electromagnetic characteristics such as the steady torque by using 2D-FEM. The automatic mesh generation is the bubble mesh method [10]. This method is used after the shape is determined.…”
Section: Genetic Programming (Gp)mentioning
confidence: 99%