Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of Reference
Energy development of decaying isotropic turbulence in a 3-D periodic cube with non-rotating or rotating frames of reference is studied through direct numerical simulation using GPU accelerated lattice Boltzmann method. The initial turbulence is isotropic, generated in spectral space with prescribed...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2019-06-01
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| Series: | Journal of Applied and Computational Mechanics |
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| Online Access: | http://jacm.scu.ac.ir/article_13845_4a1abed345a435381af1e0afb7afb238.pdf |
| _version_ | 1819105025570373632 |
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| author | Rou Chen Whitney Yu Yousheng Xu Luoding Zhu |
| author_facet | Rou Chen Whitney Yu Yousheng Xu Luoding Zhu |
| author_sort | Rou Chen |
| collection | DOAJ |
| description | Energy development of decaying isotropic turbulence in a 3-D periodic cube with non-rotating or rotating frames of reference is studied through direct numerical simulation using GPU accelerated lattice Boltzmann method. The initial turbulence is isotropic, generated in spectral space with prescribed energy spectrum E(κ)~κm in a range between κmin and κmax. The Taylor microscale Reynolds number Reλ and Rossby number Ro are introduced to characterize the inertial, viscous, and rotational attributes of the system. The focus of this study is on the scalings of early inverse energy transfer and late energy decay in the development of turbulent energy under various conditions through combinations of m, κmin, κmax, Reλ and Ro. First, we demonstrate the validity of the simulation by confirming the quantitative dependence of the decay exponent n on the initial energy spectrum exponent m, at Reλ =255 and Ro=∞, varying the values of m, κmin and κmax. Second, at relatively low Reλ, the decay exponent for different initial spectra statistically fall in respective ranges, all of which agree well with the corresponding analytical predictions. Third, we quantitatively investigate the 3-D inverse energy transfer. Our findings include (i) the exponent of inverse energy transfer spectrum E(κ)~κσ depends on the initial spectrum exponent E(κ) ~ κm: if m |
| first_indexed | 2024-12-22T02:15:41Z |
| format | Article |
| id | doaj.art-5cce1d35f21b4b72b8bfa35f733ea699 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-22T02:15:41Z |
| publishDate | 2019-06-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-5cce1d35f21b4b72b8bfa35f733ea6992022-12-21T18:42:17ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362019-06-015463964610.22055/jacm.2018.26826.136113845Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of ReferenceRou Chen0Whitney Yu1Yousheng Xu2Luoding Zhu3Department of Mechanical & Energy Engineering, Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USADepartment of Mechanical & Energy Engineering, Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USASchool of Light Industry, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaDepartment of Mathematical Sciences, Indiana University-Purdue University Indianapolis, IN 46202, USAEnergy development of decaying isotropic turbulence in a 3-D periodic cube with non-rotating or rotating frames of reference is studied through direct numerical simulation using GPU accelerated lattice Boltzmann method. The initial turbulence is isotropic, generated in spectral space with prescribed energy spectrum E(κ)~κm in a range between κmin and κmax. The Taylor microscale Reynolds number Reλ and Rossby number Ro are introduced to characterize the inertial, viscous, and rotational attributes of the system. The focus of this study is on the scalings of early inverse energy transfer and late energy decay in the development of turbulent energy under various conditions through combinations of m, κmin, κmax, Reλ and Ro. First, we demonstrate the validity of the simulation by confirming the quantitative dependence of the decay exponent n on the initial energy spectrum exponent m, at Reλ =255 and Ro=∞, varying the values of m, κmin and κmax. Second, at relatively low Reλ, the decay exponent for different initial spectra statistically fall in respective ranges, all of which agree well with the corresponding analytical predictions. Third, we quantitatively investigate the 3-D inverse energy transfer. Our findings include (i) the exponent of inverse energy transfer spectrum E(κ)~κσ depends on the initial spectrum exponent E(κ) ~ κm: if mhttp://jacm.scu.ac.ir/article_13845_4a1abed345a435381af1e0afb7afb238.pdfInverse energy transferDecaying isotropic turbulenceRotational turbulenceLattice Boltzmann methodGPU parallel computation |
| spellingShingle | Rou Chen Whitney Yu Yousheng Xu Luoding Zhu Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of Reference Journal of Applied and Computational Mechanics Inverse energy transfer Decaying isotropic turbulence Rotational turbulence Lattice Boltzmann method GPU parallel computation |
| title | Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of Reference |
| title_full | Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of Reference |
| title_fullStr | Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of Reference |
| title_full_unstemmed | Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of Reference |
| title_short | Scalings of Inverse Energy Transfer and Energy Decay in 3-D Decaying Isotropic Turbulence with Non-rotating or Rotating Frame of Reference |
| title_sort | scalings of inverse energy transfer and energy decay in 3 d decaying isotropic turbulence with non rotating or rotating frame of reference |
| topic | Inverse energy transfer Decaying isotropic turbulence Rotational turbulence Lattice Boltzmann method GPU parallel computation |
| url | http://jacm.scu.ac.ir/article_13845_4a1abed345a435381af1e0afb7afb238.pdf |
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