Finite difference approximations of multidimensional unsteady convection-diffusion-reaction equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:285

Article

Kaya, Adem

关键词: Finite difference method;    Finite element method;    Unsteady convection-diffusion-reaction;   

DOI  :  10.1016/j.jcp.2015.01.024

来源: Elsevier

【 摘 要 】

In this paper, the numerical approximation of unsteady convection-diffusion-reaction equations with finite difference method on a special grid is studied in the convection or reaction-dominated regime. We extend the method [19] which was designed for multidimensional steady convection-diffusion-reaction equations to unsteady problems. We investigate two possible different ways of combining the discretization in time and in space (where the sequence of the discretizations is interchanged). Discretization in time is performed by using Crank-Nicolson and Backward-Euler finite difference schemes, while for the space discretization we consider the method [19]. Numerical tests are presented to show good performance of the method. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free