References
- Livescu D, Ristorcelli JR. Buoyancy-driven variable-density turbulence. J Fluid Mech. 2007;591:43–71. doi: 10.1017/S0022112007008270
- Livescu D, Ristorcelli JR. Variable-density mixing in buoyancy-driven turbulence. J Fluid Mech. 2008;605:145–180. doi: 10.1017/S0022112008001481
- Livescu D. Personal communication; 2016.
- Aslangil D, Livescu D, Arindam B. Variable-density buoyancy-driven turbulence with asymmetric initial density distribution. Under review in Physica D: Nonlinear phenomena; 2019. Available from: https://arxiv.org/abs/1907.12977 . LA-UR-19-27261.
- Besnard D, Harlow FH, Rauenzahn RM. 1992. Turbulence transport equations for variable-density turbulence and their relationship to two-field models. LANL Report No. LA–12303–MS; 1992.
- Livescu D, Ristorcelli JR, Gore RA, et al. High-Reynolds number Rayleigh–Taylor turbulence. J Turbul. 2009;10(13):N13 doi: 10.1080/14685240902870448
- Schwarzkopf JD, Livescu D, Gore RA, et al. Application of a second-moment closure model to mixing processes involving multicomponent miscible fluids. J Turbul. 2011;12:N49. doi: 10.1080/14685248.2011.633084
- Girimaji SS. Assumed β-pdf model for turbulent mixing: validation and extension to multiple scalar mixing. Combust Sci Technol. 1991;78(4):177–196. doi: 10.1080/00102209108951748
- Fox RO. Computational models for turbulent reacting flows. Cambridge: Cambridge University Press; 2003.
- Bakosi J, Ristorcelli JR. Exploring the beta distribution in variable-density turbulent mixing. J Turbul. 2010;11(37):1–31.
- Livescu D, Ristorcelli JR. Mixing asymmetry in variable density turbulence. In: Bruno Eckhardt, editor. Advances in turbulence XII. Vol. 132. Springer Proceedings in Physics. Berlin, Heidelberg: Springer; 2009. p. 545–548.
- Ristorcelli JR. Passive scalar mixing: analytic study of time-scale ratio, variance, and mix rate. Phys Fluids. 2006;18(7):075101. doi: 10.1063/1.2214704
- Wachtor AJ, Grinstein FF, DeVore CR, et al. Implicit large-eddy simulation of passive scalar mixing in statistically stationary isotropic turbulence. Phys Fluids. 2013;25(2):025101. doi: 10.1063/1.4783924
- Pullin DI. A vortex-based model for the subgrid flux of a passive scalar. Phys Fluids. 2000;12(9):2311–2319. doi: 10.1063/1.1287512
- Chassaing P. Variable density fluid turbulence. Fluid mechanics and its applications. Dordrecht: Kluwer Academic Publishers; 2002.
- Libby PA, Williams FA. Turbulent reacting flows. Berlin: Springer Verlag; 1980.
- Ristorcelli JR. Exact statistical results for binary mixing and reaction in variable density turbulence. Phys Fluids. 2017;29(2):020705. doi: 10.1063/1.4974517
- Bakosi J, Ristorcelli JR. Diffusion processes satisfying a conservation law constraint. Int J Stoch Anal. 2014;2014:9, Article ID 603692.
- Pope SB. PDF methods for turbulent reactive flows. Prog Energy Combust. 1985;11:119–192. doi: 10.1016/0360-1285(85)90002-4
- Pope SB. Turbulent flows. Cambridge: Cambridge University Press; 2000.
- Fox RO. The Fokker–Planck closure for turbulent molecular mixing: passive scalars. Phys Fluids. 1992;4(6):1230–1244. doi: 10.1063/1.858241
- Madadi-Kandjani E, Fox RO, Passalacqua A. Application of the Fokker–Planck molecular mixing model to turbulent scalar mixing using moment methods. Phys Fluids. 2017;29(6):065109. doi: 10.1063/1.4989421
- Gardiner CW. Stochastic methods, a handbook for the natural and social sciences. 4th ed. Berlin, Heidelberg: Springer-Verlag; 2009.
- Schwarzkopf JD, Livescu D, Baltzer JR, et al. A two-length scale turbulence model for single-phase multi-fluid mixing. Flow Turbulence Combus. 2016;96(1):1–43. doi: 10.1007/s10494-015-9643-z
- Ristorcelli JR, Bakosi J. Progress on the density variance in the reaction rate. Technical Report LANL Report: LA-UR 16-25224. Los Alamos National Laboratory; 2016.