A multi-temperature multiphase flow model

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 53, Issue 2, 2002, Pages 211-238

  Cheng, B ^a   Glimm, J ^b   Sharp, D H ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b Stony Brook University   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Multiphase flow; Turbulence

Indexed keywords

EID: 0036005593     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-002-8153-8     Document Type: Article

References (36)

1. U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Power laws and similarity of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts at all density ratios. Phys. Rev. Lett. 74 (1995), 534-538.
2. U. Alon and D. Shvarts, Two-phase flow model for Rayleigh-Taylor and Richtmyer-Meshkov mixing. In R. Young, J. Glimm, and B. Boston, editors, Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing. World Scientific, Singapore, 1996.
3. Shiyi Chen Nianzheng Cao and K.S. Sreenivasan, Properties of velocity circulation in three-dimensional turbulence. Phys. Rev. Lett. 76 (1996), 616.
4. Shiyi Chen and R.H. Kraichnan. Randomly advected passive scalar: Simulations and theory. Physics of Fluids 10 (1998), 1867.
5. Y. Chen, Y. Deng, J. Glimm, G. Li, D.H. Sharp, and Q. Zhang, A renormalization group scaling analysis for compressible two-phase flow. Phys. Fluids A 5 (1993), 2929-2937.
6. Y. Chen, J. Glimm, D.H. Sharp, and Q. Zhang, A two-phase flow model of the Rayleigh-Taylor mixing zone. Phys. Fluids 8 (1996), 816-825.
7. B. Cheng, J. Glimm, D. Saltz, and D.H. Sharp, Boundary conditions for a two pressure two phase flow model. Physica D 131 (1999), 1-23.
8. B. Cheng, J. Glimm, and D.H. Sharp, Density dependence of Rayleigh-Taylor and Richtmyer-Meshkov mixing front, Physics Letters A 268 (2000), 366-374.
9. P. Colella, H.M. Glaz, and R.E. Ferguson, Multifluid algorithms for Eulerian finite difference methods. Technical report, University of Maryland, Department of Mathematics, 1999.
10. C.W. Cranfill, A new multifluid turbulent-mixing model. Technical Report LA-UR-92-2484, Los Alamos National Lab., 1992.
11. W.P. Dannevik, A.C. Buckingham, and C.E. Leith, editors, Advances in Compressible Turbulent Mixing. National Technical Information Service, U.S. Department of Commerce, 5285 Port Royal Rd. Springfield VA 22161, 1992.
12. G. Dimonte, Spanwise homogenous bouyancy-drag model for Rayleigh-Taylor mixing and experimental evaluation, Phys. Plasmas, 7 (2000), 2255-2269.
13. G. Dimonte and M. Schneider, Turbulent Rayleigh-Taylor instability experiments with variable acceleration. Phys. Rev. E 54 (1996), 3740-3743.
14. G. Dimonte and M. Schneider, Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories. Phys. Fluids 12 (2000), 304-321.
15. D. Drew and S. Passman, Theory of Multicomponent Fluids. Applied Mathematical Sciences. Springer-Verlag, New York, 1999.
16. A. Fannjiang and G. Papanicolaou, Diffusion in turbulence. Probability Theory and Related Fields 105 (1996), 279-334.
17. J. Glimm, D. Saltz, and D.H. Sharp, Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing. Phys. Lett. A 222 (1996), 171-176.
18. J. Glimm, D. Saltz, and D.H. Sharp, Statistical evolution of chaotic fluid mixing. Phys. Rev. Lett. 80 (1998), 712-715.
19. J. Glimm, D. Saltz, and D.H. Sharp, Two-pressure two-phase flow. In G.-Q. Chen, Y. Li, and X. Zhu, editors, Nonlinear Partial Differential Equations. World Scientific, Singapore, 1998.
20. J. Glimm, D. Saltz, and D.H. Sharp, Two-phase modeling of a fluid mixing layer. J. Fluid Mech. 378 (1999), 119-143.
21. D. Holm and B. Kupershmidt, Multipressure regularization for multiphase flow. Phys. Lett. A 106 (1984), 165-168.
22. L. Koralov, Effective diffusivity of stationary vector fields with short time correlations. Random Operators and Stochastic Equations 5 (1997), 303-324.
23. L. Koralov, Transport by Random Stationary Flows. PhD thesis, Dept. of Mathematics, State University of New York at Stony Brook, 1998.
24. P.F. Linden, D.L. Youngs, and S.B. Dalziel, editors. Proceedings of the 4th International Work-shop on the Physics of Compressible Turbulent Mixing. Cambridge University Press, Cambridge, England, 1993.
25. W.D. McComb, The Physics of Fluid Turbulence. Oxford University Press, Oxford, 1990.
26. G. Papanicolaou, Diffusion in random media. Surveys in Applied Mathematics 1 (1995), 205-253.
27. V.H. Ransom and D.L. Hicks, Hyperbolic two-pressure models for two-phase flow. J. Comput. Phys. 53 (1984), 124-151.
28. K.I. Read, Experimental investigation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12 (1984), 45-58.
29. K.R. Sreenivasan and R.A. Antonia, The phenomenology of small-scale turbulence. Ann. Rev. Fluid Mech. 29 (1997), 435-472.
30. J. Starkenberg, Dynamics and thermodynamics of simple two phase reacting mixtures for application to explosive initiation modeling. In Proceedings of the International Workshop on New Models and Predictive Methods for Shock Wave Processes in Condensed Media, September 1997. Oxford, UK.
31. H.B. Stewart and B. Wendroff, Two-phase flow: Models and methods. J. Comp. Phys. 56 (1984), 363-409, 1984.
32. V. Yakhot and S.A. Orszag, Renormalization group analysis of turbulence I: Basic theory. J. Sci. Comp. 1 (1986), 3-52, 1986.
33. R. Young, J. Glimm, and B. Boston, editors, Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing. World Scientific, Singapore, 1996.
34. D.L. Youngs, Numerical simulation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12 (1984), 32-44.
35. D.L. Youngs, Modeling turbulent mixing by Rayleigh-Taylor instability. Physica D 37 (1989), 270-287.
36. D.L. Youngs, Numerical simulation of mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Laser and Particle Beams 12 (1984), 725-750.