Comparison of two- and three-dimensional simulations of miscible Rayleigh-Taylor instability

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A comparison of two-dimensional and three-dimensional high-resolution numerical large-eddy simulations of planar, miscible Rayleigh-Taylor instability flows are presented. The resolution of the three-dimensional simulation is sufficient to attain a fully turbulent state. A number of different statistics from the mixing region (e.g., growth rates, PDFs, mixedness measures, and spectra) are used to demonstrate that two-dimensional flow simulations differ substantially from the three-dimensional one. It is found that the two-dimensional flow grows more quickly than its three-dimensional counterpart at late times, develops larger structures, and is much less well mixed. These findings are consistent with the concept of inverse cascade in ... continued below

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PDF-file: 28 pages; size: 3.4 Mbytes

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Cabot, W February 23, 2006.

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A comparison of two-dimensional and three-dimensional high-resolution numerical large-eddy simulations of planar, miscible Rayleigh-Taylor instability flows are presented. The resolution of the three-dimensional simulation is sufficient to attain a fully turbulent state. A number of different statistics from the mixing region (e.g., growth rates, PDFs, mixedness measures, and spectra) are used to demonstrate that two-dimensional flow simulations differ substantially from the three-dimensional one. It is found that the two-dimensional flow grows more quickly than its three-dimensional counterpart at late times, develops larger structures, and is much less well mixed. These findings are consistent with the concept of inverse cascade in two-dimensional flow, as well as the influence of a reduced effective Atwood number on miscible flow.

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PDF-file: 28 pages; size: 3.4 Mbytes

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  • Journal Name: Physics of Fluids, vol. 18, no. 4, April 17, 2006, pp. 045101

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  • Report No.: UCRL-JRNL-219332
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 898513
  • Archival Resource Key: ark:/67531/metadc891290

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  • February 23, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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  • Dec. 9, 2016, 3:33 p.m.

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Cabot, W. Comparison of two- and three-dimensional simulations of miscible Rayleigh-Taylor instability, article, February 23, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc891290/: accessed December 12, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.