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Numerical treatment on a chaos model of fluid flow using new iterative method

Chowdhury, Md. Sazzad Hossien (2021) Numerical treatment on a chaos model of fluid flow using new iterative method. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. ISSN ISSN: 2289-7879 (In Press)

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This article treats analytically and numerically to the three-dimensional Rössler system. The governing equations of the problem are derived from traditional Lorentz system of fluid mechanics to nonlinear ordinary differential equations (ODEs) for modelling. A semi-analytic solution is developed by using New Iterative Method (NIM) whereas the numerical solution is presented by Runge-Kutta order four (RK4) scheme. A comparative study of the analytical and numerical solutions are made. The results confirm clearly that the two methods coincide closely for both the chaotic and non-chaotic cases of the determined system. This observation would be helpful to apply NIM on nonlinear problems of fluid flow with different fluid parameters in future.

Item Type: Article (Journal)
Additional Information: 5807/93972
Uncontrolled Keywords: Rössler system, Chaos, New Iterative Method, (NIM)computational fluid dynamics (CFD); Runge–Kutta method;
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Engineering > Department of Science
Depositing User: Dr. Md Sazzad Hossien Chowdhury
Date Deposited: 25 Nov 2021 10:59
Last Modified: 25 Nov 2021 10:59
URI: http://irep.iium.edu.my/id/eprint/93972

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