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.
Advection-diffusion equation Operator splitting methods Method of characteristics Finite difference
Subjects | Engineering |
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Journal Section | Articles |
Authors | |
Publication Date | December 27, 2017 |
Acceptance Date | December 6, 2017 |
Published in Issue | Year 2017 Volume: 9 Issue: 4 |