Abstract
The software «AnisotropicHeatTransfer3D» for the numerical solution of three-dimensional non-stationary heat conduction problems in anisotropic solids of complex domain by meshless method [1] was developed. The numerical solution of the non-stationary anisotropic heat conduction problem in the software «AnisotropicHeatTransfer3D» is based on a combination of the dual reciprocity method [2] with anisotropic radial basis functions [3] and the method of fundamental solutions [4]. The dual reciprocity method with anisotropic radial basis functions is used to obtain particular solution, and the method of fundamental solutions is used to obtain a homogeneous solution of boundary-value problem.
Publisher
European Scientific Platform (Publications)
Subject
General Agricultural and Biological Sciences
Reference5 articles.
1. Protektor, D. O., Kolodyazhny, V. M., Lisin, D. O. & Lisina, O. Yu. (2021). A Meshless Method of Solving Three-Dimensional Nonstationary Heat Conduction Problems in Anisotropic Materials. Cybernetics and Systems Analysis, (57), 470-480. https://doi.org/10.1007/s10559-021-00372-8
2. Chen, C. S. & Brebbia, C. A. (1998). The Dual Reciprocity Method for Helmholtz-Type Operators. WIT Transactions on Modelling and Simulation: Boundary Elements XX, (21), 495-504. https://doi.org/10.2495/BE980461
3. Chen, Wen, Fu, Zhuo-Jia & Chen, C. S. (2014). Recent Advances in Radial Basis Function Collocation Methods. Heidelberg: Springer. https://doi.org/10.1007/978-3-642-39572-7
4. Golberg, M. A. & Chen, C. S. (1999). The method of fundamental solutions for potential, Helmholtz and diffusion problems. Golberg, M. A. (ed.) Boundary Integral Methods: Numerical and Mathematical Aspects (pp. 103-176). Boston: WIT press.
5. Protektor, D. (2021). Family of the Atomic Radial Basis Functions of Three Independent Variables Generated by Helmholtz-Type Operator. East European Journal of Physics, (4), 49-58. https://doi.org/10.26565/2312-4334-2021-4-05