Volume no :44, Issue no: 1, March (2017)

THE METHOD OF LINES WITH A FINITE VOLUMES APPROACH FOR TRANSIENT CONVECTION-DIFFUSION PROBLEMS

Author's: Bienvenu Ondami
Pages: [91] - [109]
Received Date: February 17, 2017; Revised March 4, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121779

Abstract

This paper deals with development and analysis of a discretization by the method of lines with a finite volumes approach for a one-dimensional convection-diffusion equation. This discretization leads to an ordinary differential equation (ODE). We use an explicit scheme to solve the obtained ODE. stability of the approximate solution under appropriate CFL conditions is also obtained. Study is done for constant and discontinuous thermal conductivities. Results of numerical experiments using the present approach are reported.

Keywords

transient convection-diffusion problem, finite volume method, method of line.