Title: Numerical simulation of advection-diffusion equation

Authors: S. Dhawan, S. Kapoor

Addresses: Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, India. ' Department of Mathematics, Indian Institute of Technology, Roorkee, India

Abstract: This paper presents numerical solution of advection-diffusion equation (ADE) using B-spline finite element method. The one dimensional ADE describes many quantities such as vorticity, heat, mass, energy, velocity etc. Test example shows the accuracy of the numerical technique where different comparisons are made for the exact and approximate solution obtained. Numerical results are found to be in good agreement with the analytical results.

Keywords: B-splines; FEM; finite element method; advection-diffusion equation; velocity; mass; energy; approximation; test problems; simulation; piecewise polynomial.

DOI: 10.1504/IJMMNO.2011.037197

International Journal of Mathematical Modelling and Numerical Optimisation, 2011 Vol.2 No.1, pp.13 - 27

Published online: 30 Nov 2010 *

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