Simulation of Turbulent Flows Using Nodal Integral Method
Singh, Suneet
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https://hdl.handle.net/2142/85919
Description
Title
Simulation of Turbulent Flows Using Nodal Integral Method
Author(s)
Singh, Suneet
Issue Date
2008
Doctoral Committee Chair(s)
Rizwan-Uddin
Department of Study
Nuclear Engineering
Discipline
Nuclear Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Nuclear
Language
eng
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.
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