The k-L turbulence model for describing buoyancy-driven fluid instabilities

Laser and Particle Beams

Volumn 24, Issue 3, 2006, Pages 381-394

  Chiravalle, Vincent P ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

1D Lagrangian hydrodynamics; Inertial confinement fusion; Numerical methods; Rayleigh Taylor instabilities; Turbulence modeling

Indexed keywords

1D LAGRANGIAN HYDRODYNAMICS; EDDY SCALE; RAYLEIGH TAYLOR INSTABILITIES; TURBULENCE MODELING;

BUOYANCY; HYDRODYNAMICS; INERTIAL CONFINEMENT FUSION; NUMERICAL METHODS; RAYLEIGH SCATTERING; TURBULENCE;

FLUID MECHANICS;

EID: 33750175771     PISSN: 02630346     EISSN: 1469803X     Source Type: Journal    
DOI: 10.1017/S026303460606054X     Document Type: Conference Paper

References (25)

1. AMENDT, P., COLVIN, J.D., TIPTON, R.E., HINKEL, D.E., EDWARDS, M.J., LANDEN, O.L., RAMSHAW, J.D., SUTER, L.J., VARNUM, W.S. & WATT, R.G. (2002). Indirect-drive noncryogenic double-shell ignition targets for the national ignition facility: Design and analysis. Phys. Plasmas 9, 2221-2233.
2. BOWERS, R. & WILSON, J. (1991). Numerical Modeling in Applied Physics and Astrophysics. Boston: Jones & Bartlett Publishers.
3. BROUILLETTE, M. (2002). The Richtmyer-Meshkov instability. Annu. Rev. Fluid Mech. 34, 445-468.
4. BROWN, G.L. & ROSHKO, A. (1974). On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775-816.
5. CHIRAVALLE, V.P. (2004). The implementation of the k-l turbulence model for buoyancy-driven instabilities in a 1Dlagrangian hydrocode. LA-UR-04-7626. Los Alamos, NM: Los Alamos National Laboratory.
6. DIMONTE, G. (2000). Span wise homogeneous buoyancy-drag model for Rayleigh-Taylor mixing and experimental evaluation. Phys. Plasmas 7, 2255-2269.
7. DIMONTE, G. & SCHNEIDER, M. (2000). Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories. Phys. Fluids 12, 304-321.
8. DITTRICH, T.R., HAAN, S.W., MARINAK, M.M., HINKEL, D.E., POLLAINE, S.M., MCEACHERN, R., COOK., R.C., ROBERTS, C.C., WILSON, D.C., BRADLEY, P.A. & VARNUM, W.S. (1999). Capsule design for the national ignition facility. Laser Part. Beams 17, 217-224.
9. HOLMES, R.L., DIMONTE, G., FRYXELL, B., GITTINGS, M.L., GROVE, J.W., SCHNEIDER, M., SHARP, D.H., VELIKOVICH, A.L., WEAVER, R.P. & ZHANG, Q. (1999). Richtmyer-Meshkov instability growth: Experiment, simulation and theory. J. Fluid Mech. 389, 55-79.
10. HAAN, S.W., POLLAINE, S.M., LINDL, J.D., SUTER, L.J., BERGER, R.L., POWERS, L.V., ALLEY, W.H., AMENDT, P.A., FUTTERMAN, J.A., LEVEDAHL, W.K., ROSEN, M.D., ROWLEY, D.P., SACKS, R.A., SHESTAKOV, A.I., STROBEL, G.L., TABAK, M., WEBER, S.V., ZIMMERMAN, G.B., KRAUSER, W.J., WILSON, D.C., COGGESHALL, S.V., HARRIS, D.E., HOFFMAN, N.M. & WILDE, B.H. (1995). Design and modeling of ignition targets for the national ignition facility. Phys. Plasmas 2, 2480-2487.
11. MARINAK, M.M., TIPTON, R.E., LANDEN, O.L., MURPHY, T.J., AMENDT, P., HAAN, S.W., HATCHET, S.P., KEANE, C.J., MCEAHERN, R. & WALLACE, R. (1996). Three-dimensional simulations of nova high growth factor capsule implosion experiments. Phys. Plasmas 3, 2070-2076.
12. PETERSON, R.R., HAYNES, D.A., GOLOVKIN, I.E. & MOSES, G.A. (2002). Inertial fusion energy target output and chamber pressure response: Calculations and experiments. Phys. Plasmas 9, 2287-2292.
13. PRESS, W.H., TEUKOLSKY, S.A., VETTERLING, W.T. & FLANNERY, B.P. (1992). Numerical Recipes in C: The Art of Scientific Computing. New York: Cambridge University Press.
14. POGGI, F., THOREMBEY M.H. & RODRIGUEZ, G. (1998). Velocity measurements in turbulent gaseous mixtures induced by Richtmyer-Meshkov instability. Phys. Fluids 10, 2698-2700.
15. READ, K.I. (1984). Experimental investigation of turbulent mixing by the Rayleigh-Taylor instability. Physica D 12, 45-48.
16. SCANNAPIECO, A.J. & CHENG, B. (2002). A multifluid interpenetration mix model. Physics Lett. A. 299, 49-64.
17. SLESSOR, M.D., ZHUANG, M. & DIMOTAKIS, P.E. (2000). Turbulent shear-layer mixing: growth-rate compressibility scaling. J. Fluid Mech. 414, 35-45.
18. SPEZIALE, C.G. (1991). Analytical methods for the development of Reynolds-stress closures in turbulence. Annu. Rev. Fluid Mech. 23, 107-157.
19. TANNEHILL, J.C., ANDERSON, D.A. & PLETCHER, R.H. (1997). Computational Fluid Mechanics and Heat Transfer. Washington, DC: Taylor & Francis Publishers.
20. TIPTON, R.E. (1999). A phenomenological k-l mix model for NIF targets in 1, 2 and 3 dimensions. Proc. 7th International Workshop on the Physics of Compressible Turbulent Mixing, Sarov, Russia: RFNC-VNIIEF.
21. VAN LEER, B. (1977). Towards the ultimate conservative difference scheme III: Upstream-centered finite-difference schemes for ideal compressible flow. J. Comp. Phys. 23, 263-275.
22. 6 interface. Shock Waves 4, 247-252.
23. WEBER, S.V., DIMONTE, G. & MARINAK, M.M. (2003). Arbitrary lagrange-eulerian code simulations of turbulent Rayleigh-Taylor instability in two and three dimensions. Laser Part. Beams 21, 455-461.
24. YOUNGS, D.L. (1994). Numerical simulation of turbulent mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Laser Part. Beams 12, 725-750.
25. YOUNGS, D.L. (1989). Modeling turbulent mixing by Rayleigh-Taylor instability. Physica D 37, 270-287.