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

页码：220 / 242

页数：23

共 62 条

[31] Analytical solutions to one-dimensional advection-diffusion equation with variable coefficients in semi-infinite media [J].