A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation

• Main Authors: Wang, Xue, Ang, Whye-Teong
• Other Authors: School of Mechanical and Aerospace Engineering
• Format: Article
• Language: English
• Published: 2019
• Subjects: Advection–diffusion–reaction Equation; Complex Variable Boundary Element Method; DRNTU::Engineering::Mechanical engineering
• Online Access: https://hdl.handle.net/10356/91755; http://hdl.handle.net/10220/48511
• Institution: Nanyang Technological University

An accurate complex variable boundary element method is proposed for the numerical solution of two-dimensional boundary value problems governed by a steady-state advection–diffusion–reaction equation. With the aid of the Cauchy integral formulae, the task of constructing a complex function which gives the solution of the boundary value problem under consideration is reduced to solving a system of linear algebraic equations. The method is applied to solve several specific problems which have exact solutions in closed form and a problem of practical interest in engineering.