Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method

Authors : Ersin Bahar, Gürhan Gürarslan

Pages : 76-88

Doi:10.24107/ijeas.357237

View : 13 | Download : 6

Publication Date : 2017-12-27

Article Type : Research Paper

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 insert ignore into journalissuearticles values(MOC-CS); and Crank-Nicolson insert ignore into journalissuearticles values(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