DNS of rotating and non-rotating turbulent flows with synthetic inlet conditions
In this paper, direct numerical simulations (DNS) are presented to understand the effects of the inlet conditions on the turbulent energy decay rate of isotropic turbulence. A perfect control of the inlet conditions cannot be achieved in realistic simulations reproducing the effects of a solid grid,...
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Published in | Journal of turbulence Vol. 14; no. 5; pp. 10 - 34 |
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Format | Journal Article |
Language | English |
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Taylor & Francis Group
01.05.2013
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Abstract | In this paper, direct numerical simulations (DNS) are presented to understand the effects of the inlet conditions on the turbulent energy decay rate of isotropic turbulence. A perfect control of the inlet conditions cannot be achieved in realistic simulations reproducing the effects of a solid grid, which, on the other hand, is possible by adding to a uniform inlet velocity U
0
analytical anisotropic single- or multiple-scale velocity disturbances. The single-scale simulations with different disturbances with a wave number κ show a scaling of the turbulent energy q versus x
1
/M with M=2π/κ. The energy decay rate m for multiple-scale disturbances is decreased compared to the case with single-scale disturbances. The transition from anisotropic to isotropic turbulence is analysed through the evolution of the statistics, in particular, those linked to the flow structures. Flow visualisations of the vorticity field and joint
of the velocity components at different distances from the inlet illuminate the reasons for the differences between single- and multiple-scale disturbances. The reduction of m, for the latter, indicates the way to generate isotropic turbulence at high microscale R
λ
. Simulations at different rates of solid-body rotation aligned with the streamwise direction were also performed for the flows with multiple- and single-scale disturbances. Variations of the rotation rate Ω allow to investigate the modifications of the vortical structures for single-scale disturbances. At N
Ω
=2ΩL/U
0
=10, the comparison between single- and multiple-scale disturbances shows a further increase of R
λ
in the latter flow. One-dimensional energy spectra at different distances from the inlet indicate when the effects of the inlet disturbances disappear. Good agreement, in the inertial and in the exponential decay ranges, between the present spectra and those from the DNS of forced isotropic turbulence demonstrates the quality of the numerical method used. |
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AbstractList | In this paper, direct numerical simulations (DNS) are presented to understand the effects of the inlet conditions on the turbulent energy decay rate of isotropic turbulence. A perfect control of the inlet conditions cannot be achieved in realistic simulations reproducing the effects of a solid grid, which, on the other hand, is possible by adding to a uniform inlet velocity U 0 analytical anisotropic single- or multiple-scale velocity disturbances. The single-scale simulations with different disturbances with a wave number Io show a scaling of the turbulent energy q versus x 1/M with M=2I/Io. The energy decay rate m for multiple-scale disturbances is decreased compared to the case with single-scale disturbances. The transition from anisotropic to isotropic turbulence is analysed through the evolution of the statistics, in particular, those linked to the flow structures. Flow visualisations of the vorticity field and joint of the velocity components at different distances from the inlet illuminate the reasons for the differences between single- and multiple-scale disturbances. The reduction of m, for the latter, indicates the way to generate isotropic turbulence at high microscale R I>. Simulations at different rates of solid-body rotation aligned with the streamwise direction were also performed for the flows with multiple- and single-scale disturbances. Variations of the rotation rate ICO allow to investigate the modifications of the vortical structures for single-scale disturbances. At N ICO=2ICOL/U 0=10, the comparison between single- and multiple-scale disturbances shows a further increase of R I> in the latter flow. One-dimensional energy spectra at different distances from the inlet indicate when the effects of the inlet disturbances disappear. Good agreement, in the inertial and in the exponential decay ranges, between the present spectra and those from the DNS of forced isotropic turbulence demonstrates the quality of the numerical method used. In this paper, direct numerical simulations (DNS) are presented to understand the effects of the inlet conditions on the turbulent energy decay rate of isotropic turbulence. A perfect control of the inlet conditions cannot be achieved in realistic simulations reproducing the effects of a solid grid, which, on the other hand, is possible by adding to a uniform inlet velocity U 0 analytical anisotropic single- or multiple-scale velocity disturbances. The single-scale simulations with different disturbances with a wave number κ show a scaling of the turbulent energy q versus x 1 /M with M=2π/κ. The energy decay rate m for multiple-scale disturbances is decreased compared to the case with single-scale disturbances. The transition from anisotropic to isotropic turbulence is analysed through the evolution of the statistics, in particular, those linked to the flow structures. Flow visualisations of the vorticity field and joint of the velocity components at different distances from the inlet illuminate the reasons for the differences between single- and multiple-scale disturbances. The reduction of m, for the latter, indicates the way to generate isotropic turbulence at high microscale R λ . Simulations at different rates of solid-body rotation aligned with the streamwise direction were also performed for the flows with multiple- and single-scale disturbances. Variations of the rotation rate Ω allow to investigate the modifications of the vortical structures for single-scale disturbances. At N Ω =2ΩL/U 0 =10, the comparison between single- and multiple-scale disturbances shows a further increase of R λ in the latter flow. One-dimensional energy spectra at different distances from the inlet indicate when the effects of the inlet disturbances disappear. Good agreement, in the inertial and in the exponential decay ranges, between the present spectra and those from the DNS of forced isotropic turbulence demonstrates the quality of the numerical method used. |
Author | Orlandi, P. |
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Cites_doi | 10.1063/1.2676448 10.1017/S0022112090003317 10.1017/S0022112082003462 10.1017/S0022112096007562 10.1017/S0022112093002393 10.1017/S0022112009991807 10.1098/rspa.1948.0061 10.1017/S0022112010003496 10.1017/S0022112010000479 10.1063/1.869324 10.1098/rspa.1948.0095 10.1063/1.2795211 10.1017/S0022112090003172 10.1017/jfm.2011.169 10.1007/978-90-481-3174-7 10.1080/14685248.2010.519708 10.1017/S0022112089001199 10.1017/S0022112010005793 10.1017/S002211200600869X 10.1017/S0022112089002557 10.2514/8.350 10.1063/1.866513 10.1016/j.compfluid.2009.09.018 10.1017/S0022112007006763 10.1088/1468-5248/5/1/009 10.1016/j.jcp.2008.06.020 10.1017/S0022112085001550 10.1098/rspa.1935.0158 10.1007/s00348-002-0423-x 10.1017/S0022112099005637 10.1088/0031-8949/2008/T132/014054 10.1063/1.3614479 10.1146/annurev-fluid-121108-145445 10.1088/0169-5983/41/2/021403 |
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References | CIT0030 CIT0010 CIT0031 Batchelor G. K. (CIT0005) 1948; 193 CIT0012 Orlandi P. (CIT0027) 2000 CIT0034 CIT0011 CIT0033 von Karman T. (CIT0035) 1937; 4 Batchelor G. K. (CIT0004) 1948; 194 CIT0014 Orlandi P. (CIT0029) 2006; 7 CIT0036 CIT0013 CIT0016 CIT0015 CIT0018 CIT0017 CIT0019 Taylor G. I. (CIT0032) 1935; 151 CIT0021 CIT0020 CIT0001 CIT0023 CIT0022 CIT0003 CIT0025 CIT0002 CIT0024 CIT0026 CIT0007 CIT0006 CIT0028 CIT0009 CIT0008 |
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SubjectTerms | Anisotropy Computational fluid dynamics direct numerical simulation Disturbances Fluid flow Inlets Isotropic turbulence rotating turbulence Turbulence Turbulent flow |
Title | DNS of rotating and non-rotating turbulent flows with synthetic inlet conditions |
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