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Title:Simulation of Turbulent Flows Using Nodal Integral Method
Author(s):Singh, Suneet
Doctoral Committee Chair(s):Rizwan-Uddin
Department / Program:Nuclear Engineering
Discipline:Nuclear Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Engineering, Nuclear
Abstract:The PMNIM is then used to study the transition to turbulence in Arnold-Beltrami-Childress (ABC) flows. These flows display the interesting phenomenon of heteroclinic cycles. The results are obtained for two wavenumbers: k = 1 (also studied earlier by other researchers) and k = 2, respectively. The results for k = 1 are compared with those obtained using the pseudo spectral method. The comparison shows good agreement and also shows that results obtained with similar grid sizes and time steps match very well with those obtained using pseudo spectral method. New results are obtained for k = 2, and the heteroclinic cycles observed in this flow are discussed and contrasted with those obtained in the flow with k = 1. The results show that the flow becomes unstable for the k = 2 case at smaller Reynolds number than that for k = 1. The flow also shows some very interesting phenomena such as simultaneous existence of the two types of heteroclinic cycles.
Issue Date:2008
Description:158 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
Other Identifier(s):(MiAaPQ)AAI3314894
Date Available in IDEALS:2015-09-28
Date Deposited:2008

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