Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method

Ersin Bahar; Gürhan Gürarslan

doi:https://doi.org/10.24107/ijeas.357237

Makale detayları

Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method

Yazarlar:

Ersin Bahar | Gürhan Gürarslan

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2017 Vol.9 Issue 4, pp.76-88

Belge Tipi:

Makale

Yayın Tarihi:

12/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000459236

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

https://doi.org/10.24107/ijeas.357237

Özet:

 


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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Makale detayları

Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method

Yazarlar: Ersin Bahar | Gürhan Gürarslan

Yayıncı: Akdeniz University

Ana Başlıklar: Uygulamalı fizik

Dergi: International Journal of Engineering and Applied Sciences 2017 Vol.9 Issue 4, pp.76-88

Belge Tipi: Makale

Yayın Tarihi: 12/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000459236

Sıklık: Üç Aylık

eISSN: 1309-0267

DOI: https://doi.org/10.24107/ijeas.357237

Sayı

Yazarlar:

Ersin Bahar | Gürhan Gürarslan

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2017 Vol.9 Issue 4, pp.76-88

Belge Tipi:

Makale

Yayın Tarihi:

12/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000459236

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

https://doi.org/10.24107/ijeas.357237