Rock and Soil Mechanics ›› 2022, Vol. 43 ›› Issue (S1): 633-640.doi: 10.16285/j.rsm.2020.1880

• Numerical Analysis • Previous Articles     Next Articles

Study on algorithm of cover system generation in three-dimensional numerical manifold method

YANG Shi-kou1, REN Xu-hua2, ZHANG Ji-xun2, AI Hua-dong1   

  1. 1. School of Civil and Surveying & Mapping Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China; 2. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, Jiangsu 210098, China
  • Received:2020-12-17 Revised:2021-03-04 Online:2022-06-30 Published:2022-07-15
  • Supported by:
    This work was supported by the National Natural Science Foundation of China(51739006, U1765204), the China Postdoctoral Science Foundation (2017M611678), the Science and Technology Research Project of Jiangxi Provincial Department of Education(GJJ190500) and the Project of Ganzhou's Science and Technology Plan([2019]60).

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Abstract: The low efficiency of cover system generation is a bottleneck problem that restricts the application of 3D numerical manifold method in large-scale practical engineering. By improving the generation algorithm of 3D cover system, an improved algorithm of generating 3D cover system based on Boolean intersection operation is proposed, and the corresponding program with C++ is developed. According to the topological geometric relationship between mathematical mesh and physical domain, the manifold block is generated by the conventional Boolean intersection operation or the mathematical mesh directly. The manifold elements are generated when new blocks satisfy the validity, and then all preprocessing 3D cover systems are generated. Two simple examples and a slope engineering problem are selected to illustrate the feasibility of the present method and the correctness of the calculating program, and the calculating efficiency of the present method is also analyzed by comparison. The results show that the improved Boolean intersection operation is more efficient than the conventional Boolean intersection operation. With the increase of mesh density, the average generating time consumption of one element decreases gradually. With the increasing complexity of physical domain’s boundary, the computational efficiency of the present method is gradually reduced. It provides a foundation, with strong practical application value, for future structural analysis with the numerical manifold method.

Key words: numerical manifold method, cover system, Boolean intersection operation, three-dimensional manifold element, mathematical mesh

CLC Number: 

  • O241，TU457
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