Toward linear stability analysis of upper plenum flows

John Mulloy, Elia Merzari, Oana Marin, Yassin Hassan

Research output: Contribution to journalConference article

Abstract

Linear stability analysis is a tool used to help identify the sensitivity of a particular domain to perturbations and evaluate the system dynamics as a transition, if any, occurs. The development of a time invariant base flow for future use in a linear stability analysis is the focus of this investigation. A test case, with a Reynolds number of 100, was brought to a steady state using the spectral element code NekSOOO and the method of selective frequency damping. The convergence criteria for this method is the volume averaged value of the forcing function which, after approximately 80,000 time-steps, decreased to 3.610. Analysis shows that the case has yet to have reached the tolerance desired, 1 × 10-6, With the simulation in the process of converging a preliminary perturbation analysis was conducted. Due to the low Reynolds number of this case, 100, it was hypothesized that the flow would be linearly stable. This preliminary stability analysis only focused on the largest fundamental mode and the energy growth ofthat perturbation over time. Upon evaluation of the perturbation energy, which was shown to be monotonicaiiy decreasing in time, it was concluded that, despite not yet being converged, the system is in fact linearly stable. Future work includes evaluating the domain at higher Reynolds numbers, solving the eigenvalue problem created when the linearized Navier-Stokes are written in operator form and calculating the energy evolution of the optimal perturbation.

Original languageEnglish (US)
Pages (from-to)1435-1438
Number of pages4
JournalTransactions of the American Nuclear Society
Volume115
StatePublished - Jan 1 2016
Event2016 Transactions of the American Nuclear Society, ANS 2016 - Las Vegas, United States
Duration: Nov 6 2016Nov 10 2016

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Linear stability analysis
Reynolds number
Mathematical operators
Dynamical systems
Damping

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Mulloy, John ; Merzari, Elia ; Marin, Oana ; Hassan, Yassin. / Toward linear stability analysis of upper plenum flows. In: Transactions of the American Nuclear Society. 2016 ; Vol. 115. pp. 1435-1438.
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Toward linear stability analysis of upper plenum flows. / Mulloy, John; Merzari, Elia; Marin, Oana; Hassan, Yassin.

In: Transactions of the American Nuclear Society, Vol. 115, 01.01.2016, p. 1435-1438.

Research output: Contribution to journalConference article

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