Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method | Zendy

Ersin Bahar | Zendy; Gürhan Gürarslan | Zendy

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Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method

Author(s) -

Ersin Bahar,

Gürhan Gürarslan

Publication year - 2017

Publication title -

international journal of engineering and applied sciences

Language(s) - English

Resource type - Journals

eISSN - 1309-7997

pISSN - 1309-0267

DOI - 10.24107/ijeas.357237

Subject(s) - mathematics , advection , crank–nicolson method , operator splitting , convection–diffusion equation , mathematical analysis , operator (biology) , norm (philosophy) , numerical analysis , discretization , finite difference method , diffusion equation , physics , biochemistry , chemistry , economy , repressor , gene , transcription factor , political science , law , economics , thermodynamics , service (business)

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.

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