Self-similarity of a Rayleigh-Taylor mixing layer at low Atwood number with a multimode initial perturbation

被引:24
作者
Morgan, B. E. [1 ]
Olson, B. J. [1 ]
White, J. E. [2 ]
McFarland, J. A. [2 ]
机构
[1] Lawrence Livermore Natl Lab, Livermore, CA 94550 USA
[2] Univ Missouri, Dept Mech & Aerosp Engn, Columbia, MO 65211 USA
来源
JOURNAL OF TURBULENCE | 2017年 / 18卷 / 10期
关键词
Turbulent mixing; turbulence modelling; Rayleigh-Taylor instability; large-eddy simulation; NUMERICAL SIMULATIONS; TURBULENCE MODELS; MISCIBLE FLUIDS; INSTABILITY; DYNAMICS; TRANSITION; FLOWS;
D O I
10.1080/14685248.2017.1343477
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
High-fidelity large eddy simulation (LES) of a low-Atwood number (A = 0.05) Rayleigh-Taylor mixing layer is performed using the 10th-order compact difference code Miranda. An initial multimode perturbation spectrum is specified in Fourier space as a function of mesh resolution such that a database of results is obtained in which each successive level of increased grid resolution corresponds approximately to one additional doubling of the mixing layer width, or generation. The database is then analysed to determine approximate requirements for self-similarity, and a new metric is proposed to quantify how far a given simulation is from the limit of self-similarity. It is determined that mixing layer growth reaches a high degree of self-similarity after approximately 4.5 generations. Statistical convergence errors and boundary effects at late time, however, make it impossible to draw similar conclusions regarding the self-similar growth of more sensitive turbulence parameters. Finally, self-similar turbulence profiles from the LES database are compared with one-dimensional simulations using the k-L-a and BHR-2 Reynolds-averaged Navier-Stokes models. The k-L-a model, which is calibrated to reproduce a quadratic turbulence kinetic energy profile for a self-similar mixing layer, is found to be in better agreement with the LES than BHR-2 results.
引用
收藏
页码:973 / 999
页数:27
相关论文
共 61 条
[1]   Effect of shear on Rayleigh-Taylor mixing at small Atwood number [J].
Akula, Bhanesh ;
Andrews, Malcolm J. ;
Ranjan, Devesh .
PHYSICAL REVIEW E, 2013, 87 (03)
[2]   The role of mixing in astrophysics [J].
Arnett, D .
ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 2000, 127 (02) :213-217
[3]   Development and validation of a turbulent-mix model for variable-density and compressible flows [J].
Banerjee, Arindam ;
Gore, Robert A. ;
Andrews, Malcolm J. .
PHYSICAL REVIEW E, 2010, 82 (04)
[4]   Detailed measurements of a statistically steady Rayleigh-Taylor mixing layer from small to high Atwood numbers [J].
Banerjee, Arindam ;
Kraft, Wayne N. ;
Andrews, Malcolm J. .
JOURNAL OF FLUID MECHANICS, 2010, 659 :127-190
[5]   Statistics of mixing in three-dimensional Rayleigh-Taylor turbulence at low Atwood number and Prandtl number one [J].
Boffetta, G. ;
Mazzino, A. ;
Musacchio, S. ;
Vozella, L. .
PHYSICS OF FLUIDS, 2010, 22 (03) :1-8
[6]   Reynolds number effects on Rayleigh-Taylor instability with possible implications for type-Ia supernovae [J].
Cabot, William H. ;
Cook, Andrew W. .
NATURE PHYSICS, 2006, 2 (08) :562-568
[7]   The role of directionality on the structure and dynamics of strongly anisotropic turbulent flows [J].
Cambon, C. ;
Grea, B. -J. .
JOURNAL OF TURBULENCE, 2013, 14 (01) :50-71
[8]  
Chandrasekhar S., 1961, Hydrodynamic and Hydromagnetic Stability
[9]   Artificial fluid properties for large-eddy simulation of compressible turbulent mixing [J].
Cook, Andrew W. .
PHYSICS OF FLUIDS, 2007, 19 (05)
[10]   Enthalpy diffusion in multicomponent flows [J].
Cook, Andrew W. .
PHYSICS OF FLUIDS, 2009, 21 (05)