Application of a second-moment closure model to mixing processes involving multicomponent miscible fluids

References

• Livescu , D. and Ristorcelli , J. R. 2008 . Variable-density mixing in buoyancy-driven turbulence . J. Fluid Mech. , 605 : 145
   Web of Science ®Google Scholar
• Livescu , D. , Ristorcelli , J. R. , Gore , R. A. , Dean , S. H. , Cabot , W. H. and Cook , A. W. 2009 . High-Reynolds number Rayleigh–Taylor turbulence . J. Turbul. , 10 : 1
   Web of Science ®Google Scholar
• Livescu , D. , Ristorcelli , J. R. , Petersen , M. R. and Gore , R. A. 2010 . New phenomena in variable-density Rayleigh–Taylor turbulence . Phys. Scr. , T142 : 014015
   Web of Science ®Google Scholar
• Grégoire , O. , Souffland , D. and Gauthier , S. 2005 . A second-order turbulence model for gaseous mixtures induced by Richtmyer–Meshkov instability . J. Turbul. , 6 : 1
   Web of Science ®Google Scholar
• Besnard , D. , Harlow , F. H. , Rauenzahn , R. M. and Zemach , C. 1992 . Turbulence Transport Equations for Variable-Density Turbulence and Their Relationship to Two-Field Models, LA-UR-12303 , Los Alamos , NM : Los Alamos National Laboratory .
   Google Scholar
• Banerjee , A. , Gore , R. A. and Andrews , M. J. 2010 . Development and validation of a turbulent-mix model for variable-density and compressible flows . Phys. Rev. E , 82 : 046309
   Web of Science ®Google Scholar
• Stalsberg-Zarling , K. and Gore , R. A. 2011 . The BHR2 Turbulence Model: Incompressible Isotropic Decay, Rayleigh–Taylor, Kelvin–Helmholtz and Homogeneous Variable Density Turbulence, LA-UR 11-04773 , Los Alamos , NM : Los Alamos National Laboratory .
   Google Scholar
• Poggi , F. , Thorembey , M.-H. and Rodriguez , G. 1998 . Velocity measurements in turbulent gaseous mixtures induced by Richtmyer–Meshkov instability . Phys. Fluids , 10 : 2698
   Web of Science ®Google Scholar
• Andronov , V. A. , Barkhrakh , S. M. , Meshkov , E. E. , Nikiforov , V. V. , Pevnitskii , A. V. and Tolshmyakov , A. I. 1982 . An experimental investigation and numerical modeling of turbulent mixing in one-dimensional flows . Sov. Phys. Doklady , 27 : 393
   Google Scholar
• Williams , F. A. 1985 . Combustion Theory , 2nd ed. , Reading , MA : Addison-Wesley .
   Google Scholar
• Cook , A. W. 2009 . Enthalpy diffusion in multicomponent flows . Phys. Fluids , 21 : 055109
   Web of Science ®Google Scholar
• Cebeci , T. and Smith , A. M.O. 1974 . Analysis of Turbulent Boundary Layers, Series: Applied Mathematics and Mechanics , New York : Academic Press .
   Google Scholar
• Daly , B. D. and Harlow , F. H. 1970 . Transport equations in turbulence . Phys. Fluids , 13 : 2634
   Web of Science ®Google Scholar
• Rotta , J. C. 1951 . Statistische theorie nichthomogener turbulenz . Z. Phys. , 129 : 547 (an English translation can be found in NASA-TT-F-14560, Oct. 1972)
   Google Scholar
• Naot , D. , Shavit , A. and Wolfshtein , M. 1970 . Interactions between components of the turbulent velocity correlation tensor due to pressure fluctuations . Israel J. Technol. , 8 : 259
   Web of Science ®Google Scholar
• Launder , B. E. , Reese , G. J. and Rodi , W. 1975 . Progress in the development of a Reynolds-stress turbulence closure . J. Fluid Mech. , 68 : 537
   Web of Science ®Google Scholar
• Banerjee , S. , Ertunç , Ö. , Köksoy , Ç. and Durst , F. 2009 . Pressure strain rate modeling of homogeneous axisymmetric turbulence . J. Turbul. , 10 : 1
   Web of Science ®Google Scholar
• Luo , J. and Lakshminarayana , B. 1997 . Prediction of strongly curved turbulent duct flows with Reynolds stress model . AIAA J. , 35 : 91
   Google Scholar
• Gauthier , S. and Bonnet , M. 1990 . A k–ϵ model for turbulent mixing in shock-tube flows induced by Rayleigh–Taylor instability . Phys. Fluids A , 2 ( 9 ) : 1685
   Web of Science ®Google Scholar
• Reynolds , W. C. 1987 . Fundamentals of Turbulence for Turbulence Modeling and Simulation, Lecture Notes for Von Karman Institute, AGARD Lecture Series No. 86 , NATO, New York .
   Google Scholar
• Pope , S. B. 2000 . Turbulent Flows , New York : Cambridge University Press .
   Google Scholar
• Dimonte , G. and Tipton , R. 2006 . K–L turbulence model for the self-similar growth of the Rayleigh–Taylor and Richtmyer–Meshkov instabilities . Phys. Fluids , 18 : 085101
   Web of Science ®Google Scholar
• Bernard , P. S. and Wallace , J. M. 2002 . Turbulent Flow: Analysis, Measurement and Prediction , New York : Wiley and Sons .
   Google Scholar
• Bell , J. H. and Mehta , R. D. 1990 . Development of a two-stream mixing layer from tripped and untripped boundary layers . AIAA J. , 28 : 2034
   Google Scholar
• Rogers , M. M. and Moser , R. D. 1994 . Direct simulation of a self-similar turbulent mixing layer . Phys. Fluids , 6 : 903
   Web of Science ®Google Scholar
• Launder , B. E. 1989 . Second-moment closure: Present…and future? . Int. J. Heat Fluid Flow , 10 : 282
   Web of Science ®Google Scholar
• Banerjee , A. , Kraft , W. N. and Andrews , M. J. 2010 . Detailed measurements of a statistically steady Rayleigh–Taylor mixing layer from small to high Atwood numbers . J. Fluid Mech , 659 : 127
   Web of Science ®Google Scholar
• Ristorcelli , J. R. and Clark , T. T. 2004 . Rayleigh–Taylor turbulence: Self-similar analysis and direct numerical simulations . J. Fluid Mech. , 507 : 213
   Web of Science ®Google Scholar
• Schwarzkopf , J. D. , Crowe , C. T. and Dutta , P. 2009 . Application of a volume averaged k–ϵ model to particle-laden turbulent channel flow . J. Fluids Eng. , 131 : 101301
   Web of Science ®Google Scholar
• Cabot , W. H. and Cook , A. W. 2006 . Reynolds number effects on Rayleigh–Taylor instability with possible implications for type-1a supernovae . Nat. Phys. , 2 : 562
   Web of Science ®Google Scholar
• Ruffin , E. , Schiestel , R. , Anselmet , F. , Amielh , M. and Fulachier , L. 1994 . Investigation of characteristic scales in variable density turbulent jets using a second order model . Phys. Fluids , 6 : 2785
   Web of Science ®Google Scholar
• Chassaing , P. 2001 . The modeling of variable density turbulent flows, Flow . Turbulence and Combustion , 66 : 293
   Web of Science ®Google Scholar
• Andrews , M. J. and Spalding , D. B. 1990 . A simple experiment to investigate two-dimensional mixing by Rayleigh–Taylor instability . Phys. Fluids A , 2 ( 6 ) : 922
   Web of Science ®Google Scholar
• Gittings , M. , Weaver , R. , Clover , M. , Betlach , T. , Byrne , N. , Coker , R. , Dendy , E. , Hueckstaedt , R. , New , K. , Oakes , W. R. , Ranta , D. and Stefan , R. 2008 . The RAGE radiation-hydrodynamic code . Comp. Sci. Disc. , 1 : 015005
   Google Scholar
• Young , D. P. , Melvin , R. G. , Bieterman , M. B. , Johnson , F. T. , Samant , S. S. and Bussoletti , J. E. 1991 . A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics . J. Comput. Phys. , 92 : 1
   Web of Science ®Google Scholar
• Mügler , C. and Gauthier , S. 2000 . Two-dimensional Navier–Stokes simulations of gaseous mixtures induced by Richtmyer–Meshkov instability . Phys. Fluids , 12 : 1783
   Web of Science ®Google Scholar