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
Konular | Mühendislik |
---|---|
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 27 Aralık 2017 |
Kabul Tarihi | 6 Aralık 2017 |
Yayımlandığı Sayı | Yıl 2017 Cilt: 9 Sayı: 4 |