Comparative Analysis of Numerical Solutions of Advection-Diffusion Equation

Amin GHAREHBAGHI; Birol KAYA; Gökmen TAYFUR

Article Details

Comparative Analysis of Numerical Solutions of Advection-Diffusion Equation

Authors:

Amin GHAREHBAGHI | Birol KAYA | Gökmen TAYFUR

Publisher:

Sivas Cumhuriyet Üniversitesi

Journal:

Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2017 Vol.38 Issue 1, pp.49-63

Document Type:

Article

Publication Date:

2/2017

Document Language:

Turkish

Document ID (Org No.):

2000921064

Frequency:

Quarterly

eISSN:

2587-246X

pISSN:

2587-2680

Abstract:

 


Abstract. The advection diffusion equation is one of the most popular and convenient equations in calculating the transport of energy and materials in flux areas. In this paper, one-dimensional advection-diffusion equation is solved using the finite difference, fourth order finite difference, finite volume, and differential quadrature methods in explicit condition. The quantitative comparative analysis involved two hypothetical cases and one experimental study. The results of the numerical solutions for the hypothetical cases are compared against the analytical solution. The experimental data are also simulated by the methods. The comparative analysis results revealed that the differential quadrature method performs as good as the analytical solution for the hypothetical cases. All the methods but the finite difference showed comparable performance in simulating the experimental data.

Keywords: Advection-diffusion equation, Numerical methods, Explicit solution

 

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Article Details

Comparative Analysis of Numerical Solutions of Advection-Diffusion Equation

Authors: Amin GHAREHBAGHI | Birol KAYA | Gökmen TAYFUR

Publisher: Sivas Cumhuriyet Üniversitesi

Journal: Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2017 Vol.38 Issue 1, pp.49-63

Document Type: Article

Publication Date: 2/2017

Document Language: Turkish

Document ID (Org No.): 2000921064

Frequency: Quarterly

eISSN: 2587-246X

pISSN: 2587-2680

Issues

Authors:

Amin GHAREHBAGHI | Birol KAYA | Gökmen TAYFUR

Publisher:

Sivas Cumhuriyet Üniversitesi

Journal:

Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2017 Vol.38 Issue 1, pp.49-63

Document Type:

Article

Publication Date:

2/2017

Document Language:

Turkish

Document ID (Org No.):

2000921064

Frequency:

Quarterly

eISSN:

2587-246X

pISSN:

2587-2680