Coarse bifurcation studies of bubble flow lattice Boltzmann simulations

C. Theodoropoulos; K. Sankaranarayanan; Sankaran Sundaresan; Yannis Kevrekidis

doi:10.1016/j.ces.2003.10.029

Coarse bifurcation studies of bubble flow lattice Boltzmann simulations

C. Theodoropoulos, K. Sankaranarayanan, Sankaran Sundaresan, Yannis Kevrekidis

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We demonstrate a "coarse time-stepper" based approach for the extraction of continuum-level stability and bifurcation information from kinetic theory based, LB simulations. Acting directly on the LB simulator, we sidestep the necessity of deriving macroscopic, explicitly closed continuum conservation equations. The approach is used to analyze the dynamics and the oscillatory instability of two-dimensional periodic arrays of gas bubbles rising in a liquid.

Original language	English (US)
Pages (from-to)	2357-2362
Number of pages	6
Journal	Chemical Engineering Science
Volume	59
Issue number	12
DOIs	https://doi.org/10.1016/j.ces.2003.10.029
State	Published - Jun 2004

All Science Journal Classification (ASJC) codes

General Chemistry
General Chemical Engineering
Industrial and Manufacturing Engineering

Keywords

Bifurcations
Bubble dynamics
Lattice-Boltzmann
Recursive projection method
Stability analysis

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10.1016/j.ces.2003.10.029

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title = "Coarse bifurcation studies of bubble flow lattice Boltzmann simulations",

abstract = "We demonstrate a {"}coarse time-stepper{"} based approach for the extraction of continuum-level stability and bifurcation information from kinetic theory based, LB simulations. Acting directly on the LB simulator, we sidestep the necessity of deriving macroscopic, explicitly closed continuum conservation equations. The approach is used to analyze the dynamics and the oscillatory instability of two-dimensional periodic arrays of gas bubbles rising in a liquid.",

keywords = "Bifurcations, Bubble dynamics, Lattice-Boltzmann, Recursive projection method, Stability analysis",

author = "C. Theodoropoulos and K. Sankaranarayanan and Sankaran Sundaresan and Yannis Kevrekidis",

note = "Funding Information: This work was partially supported by the Air Force Office of Scientific Research (Dynamics and Control, Drs. M. Jacobs and B. King) and by the New Jersey Commission of Science and Technology.",

year = "2004",

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T1 - Coarse bifurcation studies of bubble flow lattice Boltzmann simulations

AU - Theodoropoulos, C.

AU - Sankaranarayanan, K.

AU - Sundaresan, Sankaran

AU - Kevrekidis, Yannis

N1 - Funding Information: This work was partially supported by the Air Force Office of Scientific Research (Dynamics and Control, Drs. M. Jacobs and B. King) and by the New Jersey Commission of Science and Technology.

PY - 2004/6

Y1 - 2004/6

N2 - We demonstrate a "coarse time-stepper" based approach for the extraction of continuum-level stability and bifurcation information from kinetic theory based, LB simulations. Acting directly on the LB simulator, we sidestep the necessity of deriving macroscopic, explicitly closed continuum conservation equations. The approach is used to analyze the dynamics and the oscillatory instability of two-dimensional periodic arrays of gas bubbles rising in a liquid.

AB - We demonstrate a "coarse time-stepper" based approach for the extraction of continuum-level stability and bifurcation information from kinetic theory based, LB simulations. Acting directly on the LB simulator, we sidestep the necessity of deriving macroscopic, explicitly closed continuum conservation equations. The approach is used to analyze the dynamics and the oscillatory instability of two-dimensional periodic arrays of gas bubbles rising in a liquid.

KW - Bifurcations

KW - Bubble dynamics

KW - Lattice-Boltzmann

KW - Recursive projection method

KW - Stability analysis

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DO - 10.1016/j.ces.2003.10.029

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VL - 59

SP - 2357

EP - 2362

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 12

ER -

Coarse bifurcation studies of bubble flow lattice Boltzmann simulations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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