Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method

Year 2017, Volume: 9 Issue: 4, 76 - 88, 27.12.2017

Ersin Bahar , Gürhan Gürarslan

https://doi.org/10.24107/ijeas.357237

Cited By: 7

Abstract

In this study, effects of operator
splitting methods to the solution of advection-diffusion equation are examined.
Within the context of this work two operator splitting methods, Lie-Trotter and
Strang splitting methods were used and comparisons were made through various
Courant numbers. These methods have been implemented to advection-diffusion equation
in one-dimension. Numerical solutions of advection and dispersion processes
were carried out by a characteristics method with cubic spline interpolation
(MOC-CS) and Crank-Nicolson (CN) finite difference scheme, respectively.
Obtained results were compared with analytical solutions of the problems and
available methods in the literature. It is seen that MOC-CS-CN method has lower
error norm values than the other methods. MOC-CS-CN produces accurate results
even while the time steps are great.

Keywords

Advection-diffusion equation, Operator splitting methods, Method of characteristics, Finite difference

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