Simulation of Turbulent Flows Using Nodal Integral Method

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Nuclear Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Singh, Suneet

Contributors dc:contributor

• Rizwan-Uddin

• Engineering, Nuclear

Language dc:language

eng

Identifier

(MiAaPQ)AAI3314894

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/85919