Meshless and analytical solutions to the time-dependent advection-diffusion-reaction equation with variable coefficients and boundary conditions

被引：8
作者：
Gharib, M. [1 ]
Khezri, M. [2 ]
Foster, S. J. [1 ]
机构：
[1] Univ New South Wales, Sch Civil & Environm Engn, Ctr Infrastruct Engn & Safety, Sydney, NSW 2052, Australia
[2] Univ Sydney, Sch Civil Engn, Sydney, NSW 2006, Australia
来源：
APPLIED MATHEMATICAL MODELLING | 2017年 / 49卷
关键词：
Advection-diffusion-reaction Reproducing kernel particle method; Meshless; Analytical; Robin boundary condition; Surface diffusivity; KERNEL PARTICLE METHOD; FREE GALERKIN METHODS; COLLOCATION METHOD; CHLORIDE DIFFUSION; FINITE-ELEMENT; TRANSPORT; APPROXIMATIONS; HYDRODYNAMICS; ENFORCEMENT; ADSORPTION;
D O I：
10.1016/j.apm.2017.04.033
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A variety of physical problems in science may be expressed using the advection-diffusion-reaction (ADR) equation that covers heat transfer and transport of mass and chemicals into a porous or a nonporous media. In this paper, the meshless generalised reproducing kernel particle method (RKPM) is utilised to numerically solve the time-dependent ADR problem in a general n-dimensional space with variable coefficients and boundary conditions. A time -dependent Robin boundary condition is formulated and precisely enforced in a novel approach. The accuracy and robustness of the meshless solution is verified against finite element simulations and a general one-dimensional analytical solution obtained in this study. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：220 / 242
页数：23
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