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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-9pp.3397-3412

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Fuxian Zhu, Guorong Chen, Wenzheng Qiao, and Feng Zhang, "Application of Adaptive Radial Basis Function Method in Concrete with Cooling Water Pipe," Mech. Solids. 58 (9), 3397-3412 (2023)
Year 2023 Volume 58 Number 9 Pages 3397-3412
DOI 10.3103/S0025654423601830
Title Application of Adaptive Radial Basis Function Method in Concrete with Cooling Water Pipe
Author(s) Fuxian Zhu (Department of Engineering Mechanics, Hohai University, Nanjing, 211100 China, zhufx0606@163.com)
Guorong Chen (Department of Engineering Mechanics, Hohai University, Nanjing, 211100 China)
Wenzheng Qiao (Department of Architecture and Civil Engineering, Lyuliang University, Lvliang, 033001 China)
Feng Zhang (Department of Engineering Mechanics, Hohai University, Nanjing, 211100 China)
Abstract This article proposes the utilization of an adaptive local radial basis function (LRBF) method for simulating the temperature field in concrete containing cooling water pipes. In the proposed scheme, the local radial point interpolation method (LRPIM) combines with the moving mesh partial differential equation (MMPDE) method to achieve numerical calculations of transient temperature fields. The MMPDE method is employed to move nodes toward areas where solutions change significantly. After obtaining the new node position, LRPIM is employed to solve the computational domain. This methodology can enhance accuracy without increasing nodes. Numerical results demonstrate that adaptive nodes exhibit higher precision than uniform nodes.
Keywords thermal field, cooling pipe system, radial basis function, moving mesh partial differential equation
Received 26 September 2023Revised 24 December 2023Accepted 25 December 2023
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