Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method

International Journal of Engineering and Applied Sciences

卷:9

Ersin Bahar¹  Gürhan Gürarslan² 

[1] 1;

[2] 2;

关键词: Advection-diffusion equation;    Operator splitting methods;    Method of characteristics;    Finite difference;   

DOI  :  10.24107/ijeas.357237

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown