Efficient simulation of periodically forced reactors with radial gradients

Bart A. van de Rotten, Sjoerd M. Verduyn Lunel, A. Bliek

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)

Abstract

The aim of this paper is to present a limited memory iterative method, called the Broyden Rank Reduction method, to simulate periodically forced processes in plug-flow reactors with radial gradients taken into account. The simulation of periodically forced processes in plug-flow reactors leads to the development of partial differential equations that are normally solved in time using dynamical simulation. Depending on the convergence properties of the system at hand, the number of cycles that needs to be computed up to a cyclic steady state is reached can be large. Therefore direct iterative methods are essential in order to capture the long time dynamics of such systems. In order to overcome severe memory constraints many authors have reverted to pseudo-homogeneous 1D models and to coarse grid discretization, which renders such models inadequate or inaccurate. The results that we present show that the long time dynamics actually depends on the radius of the reactor and, hence, the full 2D model is essential in order to simulate periodically forced processes in plug-flow reactors accurately.
Original languageEnglish
Pages (from-to)6981-6994
JournalChemical engineering science
Volume61
Issue number21
DOIs
Publication statusPublished - 2006

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Iterative methods
Data storage equipment
Partial differential equations

Keywords

  • IR-78504
  • Nonlinear dynamics
  • Periodically forced processes
  • Reverse flow reactor
  • Limited memory iterative method

Cite this

van de Rotten, Bart A. ; Verduyn Lunel, Sjoerd M. ; Bliek, A. / Efficient simulation of periodically forced reactors with radial gradients. In: Chemical engineering science. 2006 ; Vol. 61, No. 21. pp. 6981-6994.
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Efficient simulation of periodically forced reactors with radial gradients. / van de Rotten, Bart A.; Verduyn Lunel, Sjoerd M.; Bliek, A.

In: Chemical engineering science, Vol. 61, No. 21, 2006, p. 6981-6994.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Efficient simulation of periodically forced reactors with radial gradients

AU - van de Rotten, Bart A.

AU - Verduyn Lunel, Sjoerd M.

AU - Bliek, A.

PY - 2006

Y1 - 2006

N2 - The aim of this paper is to present a limited memory iterative method, called the Broyden Rank Reduction method, to simulate periodically forced processes in plug-flow reactors with radial gradients taken into account. The simulation of periodically forced processes in plug-flow reactors leads to the development of partial differential equations that are normally solved in time using dynamical simulation. Depending on the convergence properties of the system at hand, the number of cycles that needs to be computed up to a cyclic steady state is reached can be large. Therefore direct iterative methods are essential in order to capture the long time dynamics of such systems. In order to overcome severe memory constraints many authors have reverted to pseudo-homogeneous 1D models and to coarse grid discretization, which renders such models inadequate or inaccurate. The results that we present show that the long time dynamics actually depends on the radius of the reactor and, hence, the full 2D model is essential in order to simulate periodically forced processes in plug-flow reactors accurately.

AB - The aim of this paper is to present a limited memory iterative method, called the Broyden Rank Reduction method, to simulate periodically forced processes in plug-flow reactors with radial gradients taken into account. The simulation of periodically forced processes in plug-flow reactors leads to the development of partial differential equations that are normally solved in time using dynamical simulation. Depending on the convergence properties of the system at hand, the number of cycles that needs to be computed up to a cyclic steady state is reached can be large. Therefore direct iterative methods are essential in order to capture the long time dynamics of such systems. In order to overcome severe memory constraints many authors have reverted to pseudo-homogeneous 1D models and to coarse grid discretization, which renders such models inadequate or inaccurate. The results that we present show that the long time dynamics actually depends on the radius of the reactor and, hence, the full 2D model is essential in order to simulate periodically forced processes in plug-flow reactors accurately.

KW - IR-78504

KW - Nonlinear dynamics

KW - Periodically forced processes

KW - Reverse flow reactor

KW - Limited memory iterative method

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JO - Chemical engineering science

JF - Chemical engineering science

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