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

Ghosh, Indranil and Chowdhury, Md Sazzad Hossien and Mt Aznam, Suazlan (2022) Numerical treatment on a chaos model of fluid flow using new iterative method. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 96 (1). pp. 25-35. ISSN 2289-7879

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Abstract

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 studyof 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 problemsof fluid flow with different fluid parameters in future.

Item Type:	Article (Journal)
Uncontrolled Keywords:	Rössler system; chaos; New Iterative Method (NIM); computational fluid dynamics (CFD); Runge-Kutta method
Subjects:	Q Science > QA Mathematics > QA297 Numerical Analysis Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Suazlan Mt Aznam
Date Deposited:	01 Sep 2022 15:00
Last Modified:	01 Sep 2022 15:02
URI:	http://irep.iium.edu.my/id/eprint/99775

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