Application of Wavelet-Based Methods for Accelerating Multi-Time-Scale Simulation of Bistable Heterogeneous Catalysis

Sourav Gur, George N. Frantziskonis, Sreekanth Pannala, C. Stuart Daw

Research output: Research - peer-reviewArticle

Abstract

We report results from a numerical study of multi-time-scale bistable dynamics for CO oxidation on a catalytic surface in a flowing, well-mixed gas stream. The problem is posed in terms of surface and gas-phase submodels that dynamically interact in the presence of stochastic perturbations, reflecting the impact of molecular-scale fluctuations on the surface and turbulence in the gas. Wavelet-based methods are used to encode and characterize the temporal dynamics produced by each submodel and detect the onset of sudden state shifts (bifurcations) caused by nonlinear kinetics. When impending state shifts are detected, a more accurate but computationally expensive integration scheme can be used. This appears to make it possible, at least in some cases, to decrease the net computational burden associated with simulating multi-time-scale, nonlinear reacting systems by limiting the amount of time in which the more expensive integration schemes are required. Critical to achieving this is being able to detect unstable temporal transitions such as the bistable shifts in the example problem considered here. Our results indicate that a unique wavelet-based algorithm based on the Lipschitz exponent is capable of making such detections, even under noisy conditions, and may find applications in critical transition detection problems beyond catalysis.

LanguageEnglish (US)
Pages2393-2406
Number of pages14
JournalIndustrial and Engineering Chemistry Research
Volume56
Issue number9
DOIs
StatePublished - Mar 8 2017

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Catalysis
Gases
Flowing wells
Nonlinear systems
Turbulence
Oxidation
Kinetics

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Cite this

Application of Wavelet-Based Methods for Accelerating Multi-Time-Scale Simulation of Bistable Heterogeneous Catalysis. / Gur, Sourav; Frantziskonis, George N.; Pannala, Sreekanth; Daw, C. Stuart.

In: Industrial and Engineering Chemistry Research, Vol. 56, No. 9, 08.03.2017, p. 2393-2406.

Research output: Research - peer-reviewArticle

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