GPU accelerated study of a dual-frequency driven single bubble in a 6-dimensional parameter space: The active cavitation threshold

•Dual-frequency driven single bubble dynamics is investigated.•GPU accelerated simulations of nearly 2 billion parameter combinations.•Synergetic effect in terms of active cavitation threshold is studied.•Synergy between low-high frequency combination is revealed. The active cavitation threshold of...

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Vydáno v:Ultrasonics sonochemistry Ročník 67; s. 105067
Hlavní autoři: Hegedűs, Ferenc, Klapcsik, Kálmán, Lauterborn, Werner, Parlitz, Ulrich, Mettin, Robert
Médium: Journal Article
Jazyk:angličtina
Vydáno: Netherlands Elsevier B.V 01.10.2020
Témata:
Bubble dynamics
Cavitation threshold
Dual-frequency driving
GPU programming
Keller–Miksis equation
Bubble dynamics
Dual-frequency driving
GPU programming
Cavitation threshold
Keller–Miksis equation
ISSN:1350-4177, 1873-2828, 1873-2828
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Abstract •Dual-frequency driven single bubble dynamics is investigated.•GPU accelerated simulations of nearly 2 billion parameter combinations.•Synergetic effect in terms of active cavitation threshold is studied.•Synergy between low-high frequency combination is revealed. The active cavitation threshold of a dual-frequency driven single spherical gas bubble is studied numerically. This threshold is defined as the minimum intensity required to generate a given relative expansion (Rmax-RE)/RE, where RE is the equilibrium size of the bubble and Rmax is the maximum bubble radius during its oscillation. The model employed is the Keller–Miksis equation that is a second order ordinary differential equation. The parameter space investigated is composed by the pressure amplitudes, excitation frequencies, phase shift between the two harmonic components and by the equilibrium bubble radius (bubble size). Due to the large 6-dimensional parameter space, the number of the parameter combinations investigated is approximately two billion. Therefore, the high performance of graphics processing units is exploited; our in-house code is written in C++ and CUDA C software environments. The results show that for (Rmax-RE)/RE=2, the best choice of the frequency pairs depends on the bubble size. For small bubbles, below 3μm, the best option is to use just a single frequency of a low value in the giant response region. For medium sized bubbles, between 3μm and 6μm, the optimal choice is the mixture of low frequency (giant response) and main resonance frequency. For large bubbles, above 6μm, the main resonance dominates the active cavitation threshold. Increasing the prescribed relative expansion value to (Rmax-RE)/RE=3, the optimal choice is always single frequency driving with the lowest value (20kHz here). Thus, in this case, the giant response always dominates the active cavitation threshold. The phase shift between the harmonic components of the dual-frequency driving (different frequency values) has no effect on the threshold.
AbstractList The active cavitation threshold of a dual-frequency driven single spherical gas bubble is studied numerically. This threshold is defined as the minimum intensity required to generate a given relative expansion (R -R )/R , where R is the equilibrium size of the bubble and R is the maximum bubble radius during its oscillation. The model employed is the Keller-Miksis equation that is a second order ordinary differential equation. The parameter space investigated is composed by the pressure amplitudes, excitation frequencies, phase shift between the two harmonic components and by the equilibrium bubble radius (bubble size). Due to the large 6-dimensional parameter space, the number of the parameter combinations investigated is approximately two billion. Therefore, the high performance of graphics processing units is exploited; our in-house code is written in C++ and CUDA C software environments. The results show that for (R -R )/R =2, the best choice of the frequency pairs depends on the bubble size. For small bubbles, below 3μm, the best option is to use just a single frequency of a low value in the giant response region. For medium sized bubbles, between 3μm and 6μm, the optimal choice is the mixture of low frequency (giant response) and main resonance frequency. For large bubbles, above 6μm, the main resonance dominates the active cavitation threshold. Increasing the prescribed relative expansion value to (R -R )/R =3, the optimal choice is always single frequency driving with the lowest value (20kHz here). Thus, in this case, the giant response always dominates the active cavitation threshold. The phase shift between the harmonic components of the dual-frequency driving (different frequency values) has no effect on the threshold.
The active cavitation threshold of a dual-frequency driven single spherical gas bubble is studied numerically. This threshold is defined as the minimum intensity required to generate a given relative expansion (Rmax-RE)/RE, where RE is the equilibrium size of the bubble and Rmax is the maximum bubble radius during its oscillation. The model employed is the Keller-Miksis equation that is a second order ordinary differential equation. The parameter space investigated is composed by the pressure amplitudes, excitation frequencies, phase shift between the two harmonic components and by the equilibrium bubble radius (bubble size). Due to the large 6-dimensional parameter space, the number of the parameter combinations investigated is approximately two billion. Therefore, the high performance of graphics processing units is exploited; our in-house code is written in C++ and CUDA C software environments. The results show that for (Rmax-RE)/RE=2, the best choice of the frequency pairs depends on the bubble size. For small bubbles, below 3μm, the best option is to use just a single frequency of a low value in the giant response region. For medium sized bubbles, between 3μm and 6μm, the optimal choice is the mixture of low frequency (giant response) and main resonance frequency. For large bubbles, above 6μm, the main resonance dominates the active cavitation threshold. Increasing the prescribed relative expansion value to (Rmax-RE)/RE=3, the optimal choice is always single frequency driving with the lowest value (20kHz here). Thus, in this case, the giant response always dominates the active cavitation threshold. The phase shift between the harmonic components of the dual-frequency driving (different frequency values) has no effect on the threshold.The active cavitation threshold of a dual-frequency driven single spherical gas bubble is studied numerically. This threshold is defined as the minimum intensity required to generate a given relative expansion (Rmax-RE)/RE, where RE is the equilibrium size of the bubble and Rmax is the maximum bubble radius during its oscillation. The model employed is the Keller-Miksis equation that is a second order ordinary differential equation. The parameter space investigated is composed by the pressure amplitudes, excitation frequencies, phase shift between the two harmonic components and by the equilibrium bubble radius (bubble size). Due to the large 6-dimensional parameter space, the number of the parameter combinations investigated is approximately two billion. Therefore, the high performance of graphics processing units is exploited; our in-house code is written in C++ and CUDA C software environments. The results show that for (Rmax-RE)/RE=2, the best choice of the frequency pairs depends on the bubble size. For small bubbles, below 3μm, the best option is to use just a single frequency of a low value in the giant response region. For medium sized bubbles, between 3μm and 6μm, the optimal choice is the mixture of low frequency (giant response) and main resonance frequency. For large bubbles, above 6μm, the main resonance dominates the active cavitation threshold. Increasing the prescribed relative expansion value to (Rmax-RE)/RE=3, the optimal choice is always single frequency driving with the lowest value (20kHz here). Thus, in this case, the giant response always dominates the active cavitation threshold. The phase shift between the harmonic components of the dual-frequency driving (different frequency values) has no effect on the threshold.
•Dual-frequency driven single bubble dynamics is investigated.•GPU accelerated simulations of nearly 2 billion parameter combinations.•Synergetic effect in terms of active cavitation threshold is studied.•Synergy between low-high frequency combination is revealed. The active cavitation threshold of a dual-frequency driven single spherical gas bubble is studied numerically. This threshold is defined as the minimum intensity required to generate a given relative expansion (Rmax-RE)/RE, where RE is the equilibrium size of the bubble and Rmax is the maximum bubble radius during its oscillation. The model employed is the Keller–Miksis equation that is a second order ordinary differential equation. The parameter space investigated is composed by the pressure amplitudes, excitation frequencies, phase shift between the two harmonic components and by the equilibrium bubble radius (bubble size). Due to the large 6-dimensional parameter space, the number of the parameter combinations investigated is approximately two billion. Therefore, the high performance of graphics processing units is exploited; our in-house code is written in C++ and CUDA C software environments. The results show that for (Rmax-RE)/RE=2, the best choice of the frequency pairs depends on the bubble size. For small bubbles, below 3μm, the best option is to use just a single frequency of a low value in the giant response region. For medium sized bubbles, between 3μm and 6μm, the optimal choice is the mixture of low frequency (giant response) and main resonance frequency. For large bubbles, above 6μm, the main resonance dominates the active cavitation threshold. Increasing the prescribed relative expansion value to (Rmax-RE)/RE=3, the optimal choice is always single frequency driving with the lowest value (20kHz here). Thus, in this case, the giant response always dominates the active cavitation threshold. The phase shift between the harmonic components of the dual-frequency driving (different frequency values) has no effect on the threshold.
ArticleNumber 105067
Author Hegedűs, Ferenc
Mettin, Robert
Klapcsik, Kálmán
Lauterborn, Werner
Parlitz, Ulrich
Author_xml – sequence: 1
  givenname: Ferenc
  surname: Hegedűs
  fullname: Hegedűs, Ferenc
  email: fhegedus@hds.bme.hu
  organization: Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary
– sequence: 2
  givenname: Kálmán
  surname: Klapcsik
  fullname: Klapcsik, Kálmán
  email: kklapcsik@hds.bme.hu
  organization: Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary
– sequence: 3
  givenname: Werner
  surname: Lauterborn
  fullname: Lauterborn, Werner
  email: werner.lauterborn@phys.uni-goettingen.de
  organization: Drittes Physikalisches Institut, Georg-August-Universität Göttingen, Göttingen, Germany
– sequence: 4
  givenname: Ulrich
  surname: Parlitz
  fullname: Parlitz, Ulrich
  email: ulrich.parlitz@ds.mpg.de
  organization: Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization and Institut für Dynamik komplexer Systeme, Georg-August-Universität Göttingen, Göttingen, Germany
– sequence: 5
  givenname: Robert
  surname: Mettin
  fullname: Mettin, Robert
  email: robert.mettin@phys.uni-goettingen.de
  organization: Drittes Physikalisches Institut, Georg-August-Universität Göttingen, Göttingen, Germany
BackLink https://www.ncbi.nlm.nih.gov/pubmed/32380373$$D View this record in MEDLINE/PubMed
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1873-2828
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Keywords Bubble dynamics
Dual-frequency driving
GPU programming
Cavitation threshold
Keller–Miksis equation
Language English
License This is an open access article under the CC BY license.
Copyright © 2020 The Authors. Published by Elsevier B.V. All rights reserved.
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PublicationTitle Ultrasonics sonochemistry
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Snippet •Dual-frequency driven single bubble dynamics is investigated.•GPU accelerated simulations of nearly 2 billion parameter combinations.•Synergetic effect in...
The active cavitation threshold of a dual-frequency driven single spherical gas bubble is studied numerically. This threshold is defined as the minimum...
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SubjectTerms Bubble dynamics
Cavitation threshold
Dual-frequency driving
GPU programming
Keller–Miksis equation
Title GPU accelerated study of a dual-frequency driven single bubble in a 6-dimensional parameter space: The active cavitation threshold
URI https://dx.doi.org/10.1016/j.ultsonch.2020.105067
https://www.ncbi.nlm.nih.gov/pubmed/32380373
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