On A Comparison of Numerical Solution Methods for General Transport Equation on Cylindrical Coordinates

Authors

Ali ATES, Mechanical Engineering Department, Technology Faculty, Seluk University, Konya, TurkeyFollow
Omer ALTUN, Mathematics Department and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow
Adem KILICMAN, Mathematics Department and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow

Author Country (or Countries)

Turkey

Abstract

In this study, the general transport equation was subjected to discretization by using the central difference, upwind, hybrid, power-law, exponential scheme and QUICK scheme methods and then solved by using a program prepared in Delphi programming software. In the solution, three different grid systems of 80x100, 160x200 and 320x400 from nodal points were used. The numerical results obtained for Peclet number values of -2, 0, 2, 10 and 20 we presented graphically. The obtained results indicate that hybrid and power-law yield better results as compared to the other discretization methods. The GCI analysis was also provided that 160 x 200 grid system is suitable for such a solution.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110211

Recommended Citation

ATES, Ali; ALTUN, Omer; and KILICMAN, Adem (2017) "On A Comparison of Numerical Solution Methods for General Transport Equation on Cylindrical Coordinates," Applied Mathematics & Information Sciences: Vol. 11: Iss. 2, Article 11.
DOI: http://dx.doi.org/10.18576/amis/110211
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss2/11