Chaos, transport and mesh convergence for fluid mixing

Acta Mathematicae Applicatae Sinica

Volumn 24, Issue 3, 2008, Pages 355-368

  Lim, H ^a   Yu, Y ^a   Glimm, J ^a,b   Li, X L ^a   Sharp, D H ^c  

^a Stony Brook University   (United States)

^b BROOKHAVEN NATIONAL LABORATORY   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Mass diffusion; Multiphase flow; Schmidt number; Turbulence

Indexed keywords

EID: 49249117169     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/s10255-008-8019-8     Document Type: Article

References (26)

1. Batchelor, G. The Theory of Homogeneous Turbulence. The University Press, Cambridge, 1955
2. C. William C. Andrew 2006 Reynolds number effects on Rayleigh-Taylor instability with possible implications for type Ia supernovae Nature Physics 2 562 568
3. G.Q. Chen 1986 Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics III Acta Mathematica Scienitia 6 75 120
4. P. Colella 1985 A direct Eulerian MUSCL scheme for gas dynamics SIAM Journal on Computing 6 1 104 117
5. X. Ding G.Q. Chen P. Luo 1985 Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics I and II Acta Mathematica Scientia 5 415 472
6. J. Du B. Fix J. Glimm X.C. Jia X.L. Li Y.h. Li L.L. Wu 2006 A simple package for front tracking J. Comp. Phys. 213 613 628
7. S. Dutta E. George J. Glimm J. Grove H. Jin T. Lee X. Li D.H. Sharp K. Ye Y. Yu Y. Zhang M. Zhao 2005 Shock wave interactions in spherical and perturbed spherical geometries Nonlinear Analysis 63 644 652
8. J. Glimm J.W. Grove Y. Kang T. Lee X. Li D.H. Sharp Y. Yu K. Ye M. Zhao 2004 Statistical Riemann problems and a composition law for errors in numerical solutions of shock physics problems SISC 26 666 697
9. J. Glimm J.W. Grove X.L. Li W. Oh D.H. Sharp 2001 A critical analysis of Rayleigh-Taylor growth rates J. Comp. Phys. 169 652 677
10. D.J. Hill C. Pantano D.L. Pullin 2006 Large-eddy simulation and multiscale modeling of a Richtmyer-Meshkov instability with reshock J. Fluid Mech 557 29 61
11. Lee, H., Jin, H., Yu, Y., Glimm, J. On validation of turbulent mixing simulations of Rayleigh-Taylor mixing. Phys. Fluids, 2007 In press. Stony Brook University Preprint SUNYSB-AMS-07-03
12. Lim, H., Yu, Y., Jin, H., Kim, D., Lee, H., Glimm, J., Li, X.L., Sharp, D.H. Multi scale models for fluid mixing. Special issue CMAME, 2007 Accepted for publication. Stony Brook University Preprint SUNYSB-AMS-07-05
13. Liu, X.F., Li, Y.H., Glimm, J., Li, X.L. A front tracking algorithm for limited mass diffusion. J. of Comp. Phys., 2007 Accepted. Stony Brook University preprint number SUNYSB-AMS-06-01
14. Masser, T.O. Breaking Temperature Equilibrium in Mixed Cell Hydrodynamics. Ph.d. thesis, State University of New York at Stony Brook, 2007
15. Monin, A.S., Yaglom, A.M. Statistical fluid mechanics: Mechanics of turbulence. MIT Press, 1971
16. R. Di Perna 1983 Convergence of approximate solutions to conservation laws Arch. Rational Mech. Anal. 82 27 70
17. R. Di Perna 1985 Compensated compactness and general systems of conservation laws Trans. Amer. Math. Soc. 292 383 420
18. H. Pitsch 2006 Large-eddy simulation of turbulent combustion Annual Rev. Fluid Mech. 38 453 482
19. Pomraning, G.C. Linear kinetic theory and particle transport in stochastic mixtures, Volume 7 of Series on Advances in Mathematics for Applied Sciences. World Scientific, Singapore, 1991
20. G.C. Pomraning 1996 Transport theory in discrete stochastic mixtures Advances in Nuclear Science and Technology 24 47 93
21. D. Pullin 2000 A vortex based model for the subgrid flux of a passive scalar Phys. of Fluids 12 2311 2319
22. D. Pullin T.S. Lundgren 2001 Axial motion and scalar transport in stretched spiral vortices Phys. of Fluids 13 2553 2563
23. D.H. Sharp 1984 An overview of Rayleigh-Taylor instability Physica D 12 3 18
24. P. Woodward P. Colella 1984 Numerical simulation of two-dimensional fluid flows with strong shocks J. Comp. Phys. 54 115
25. D.L. Youngs 1991 Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability Phys. Fluids A 3 1312 1319
26. Y. Yu M. Zhao T. Lee N. Pestieau W. Bo J. Glimm J.W. Grove 2006 Uncertainty quantification for chaotic computational fluid dynamics J. Comp. Phys. 217 200 216