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Parametrically Forced Rotating and/or Stratified Confined Flows

Abstract The dynamics of a fluid flow inside 2D square and 3D cubic cavities

under various configurations were simulated and analyzed using a

spectral code I developed.

This code was validated against known studies in the 3D lid-driven

cavity. It was then used to explore the various dynamical behaviors

close to the onset of instability of the steady-state flow, and explain

in the process the mechanism underlying an intermittent bursting

previously observed. A fairly complete bifurcation picture emerged,

using a combination of computational tools such as selective

frequency damping, edge-state tracking and subspace restriction.

The code was then used to investigate the flow in a 2D square cavity

under stable temperature stratificatio... (more)
Created Date 2019
Contributor Wu, Ke (Author) / Lopez, Juan (Advisor) / Welfert, Bruno (Advisor) / Tang, Wenbo (Committee member) / Platte, Rodrigo (Committee member) / Herrmann, Marcus (Committee member) / Arizona State University (Publisher)
Subject Mathematics / Fluid mechanics / Mechanics / Applied Mathematics / Dynamical System / Rotating Fluids / Scientific Computing / Spectral Methods / Stratified Fluids
Type Doctoral Dissertation
Extent 183 pages
Language English
Note Doctoral Dissertation Mathematics 2019
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis