http://scholars.ntou.edu.tw/handle/123456789/17196
Title: | Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations | Authors: | Liu, Shuainan Li, Po-Wei Fan, Chia-Ming Gu, Yan |
Keywords: | Localized method of fundamental solutions;Meshless boundary collocation method;Transient convection-diffusion-reaction;Particular solutions;Fundamental solutions | Issue Date: | Mar-2021 | Publisher: | ELSEVIER SCI LTD | Journal Volume: | 124 | Start page/Pages: | 237-244 | Source: | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | Abstract: | This paper investigates the use of the localized method of fundamental solutions (LMFS) for the numerical solution of general transient convection-diffusion-reaction equation in both two-(2D) and three-dimensional (3D) materials. The method is developed as a generalization of the author's earlier work on Laplace's equation to transient convection-diffusion-reaction equation. The popular Crank-Nicolson (CN) time-stepping technology is adopted to perform the temporal simulations. The LMFS approach is then introduced for solving the resulting inhomogeneous boundary value problems, where a pseudo-spectral Chebyshev collocation scheme (CCS) is employed for the approximation of the corresponding particular solutions. As compared with the classical MFS and boundary element method (BEM), the present CN-CCS-LMFS approach produces sparse and banded stiffness matrix which makes the method possible to perform large-scale dynamic simulations. Several benchmark numerical examples are presented to demonstrate the efficiency and feasibility of the present method. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/17196 | ISSN: | 0955-7997 | DOI: | 10.1016/j.enganabound.202 |
Appears in Collections: | 河海工程學系 |
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