Interval boundary element method for 2D transient diffusion problem

2008 ◽  
Vol 32 (5) ◽  
pp. 424-430 ◽  
Author(s):  
Alicja Piasecka Belkhayat
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Diffusion Problem ◽  
Transient Diffusion ◽  
Interval Boundary ◽  
Element Method

scholarly journals The boundary element method applied to the solution of the anomalous diffusion problem

2019 ◽  
Vol 109 ◽  
pp. 129-142
Author(s):  
José Antonio Marques Carrer ◽  
Mohammed Seaid ◽  
Jon Trevelyan ◽  
Bruno dos Santos Solheid
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Anomalous Diffusion ◽  
Diffusion Problem ◽  
Element Method

Study on Chloride Diffusion in Concrete with Non-Homogenous Coefficient Using Meshless Boundary Element Method

2010 ◽  
Vol 650 ◽  
pp. 38-46
Author(s):  
Li Guo ◽  
Tang Chen ◽  
Jun Hong ◽  
Ling Qiao ◽  
Xiao Ming Guo
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Boundary Integral Equations ◽  
Numerical Technique ◽  
Boundary Integral ◽  
Chloride Diffusion ◽  
Weighted Residual Method ◽  
Transient Diffusion ◽  
Radial Basis Function Approximation ◽  
Element Method

A new robust numerical technique was proposed for analyzing chloride transient diffusion in concrete with non-homogenous coefficient. The method was based on a meshless boundary element method which results in an integral equation for explicitly evaluating field chloride quantities. Weighted residual method and Green’s function were adopted to derive domain and boundary integral equations. A radial integration method coupling with radial basis function approximation technology was used to convert domain integral into equivalent boundary integral. With central finite difference method, an explicit time iteration scheme was established for solving transient diffusion equation. Two numerical examples for 2D diffusion problem were given to demonstrate the robustness of the proposed method. Numerical results show that the non-homogenous diffusion coefficient causes the chloride distribution non-uniform, and the diffusion process is nonlinear with respect to time.

Sign in / Sign up

Export Citation Format

Share Document