Miranda is a radiation hydrodynamics code designed for large-eddy simulation of multicomponent flows with turbulent mixing. Additional physics packages include magneto-hydrodynamics, self-gravity and thermonuclear fusion. The hydro package is based on tenth-order compact (Pade) schemes for spatial differencing, combined with fourth-order Runge-Kutta timestepping. Applications to date include interfacial instabilities (RT, RM, and KH), ICF implosions, ablation physics, supernovae, the LIFE chamber, and classical fluids experiments (e.g., drop tanks, shock tubes, etc.).

Movie of a Rayleigh-Taylor instability with a density ratio of 3 (red) to 1 (blue).


Selected Miranda Publications

Author Paper Journal Date Publication No.
Weber, C. R., A. W. Cook, and R. Bonazza "Mixing at Shocked Interfaces with Known Perturbations" J. Fluid Mech. 725, 372-401 2013 LLNL-JRNL-570672
Cook, A. W. and J. A. Greenough "Accounting for Energy Changes in Hydrodynamic Mixing: The Role of Enthalpy Diffusion" Stockpile Stewardship Quarterly 2(3), 2-3 2013  
Cabot, W., and Y. Zhou "Statistical measurements of scaling and anisotropy of turbulent flows induced by Rayleigh-Taylor instability" Phys. Fluids 25, 015107 2013  
Morgan, R. V., R. Aure, R., J. D. Stockero, J. A. Greenough, W. Cabot, O. A. Likhachev, and J. W. Jacobs "On the late-time growth of the 2D Richtmyer-Meshkov instability in shock tube experiments" J. Fluid Mech. 712, 354-383 2012 LLNL-JRNL-498898
Olson, B. J., S. K. Lele, J. Larsson, and A. W. Cook "Nonlinear Effects in the Combined Rayleigh-Taylor/Kelvin-Helmholtz Instability" Phys. Fluids 23, 037111 2011 LLNL-JRNL-498898
Latkowski, J. F., R. P. Abbot, S. Aceves, T. Anklam, A. W. Cook, et al. "Chamber Design for the Laser Inertial Fusion Energy (LIFE) Engine" Fusion Science and Technology 60, 54-60 2011  
Clark, D. S., S. W. Haan, A. W. Cook, M. J. Edwards, B. A. Hammel, J. M. Koning, and M. M Marinak "Short-wavelength and three-dimensional instability evolution in National Ignition Facility ignition capsule designs" Physics of Plasmas 18, 082701 2011  
Cook, A. W. "Enthalpy Diffusion in Multicomponent Flows" Phys. Fluids 21, 055109 2009 LLNL-JRNL-408798
Livescu, D., J. R. Ristorcelli, R. A. Gore, S. H. Dean, W. H. Cabot, and A. W. Cook "High-Reynolds Number Rayleigh-Taylor Turbulence" Journal of Turbulence 10, 1-32 2009 LLNL-JRNL-408798
Cook, A. W., and D. Youngs "Rayleigh-Taylor Instability and Mixing" Scholarpedia 4(2), 6092 2009 LLNL-JRNL-404963
Olson, B. J., and A. W. Cook "Rayleigh-Taylor Shock Waves" Phys. Fluids 19, 128108 2007 UCRL-JRNL-234214
Cotrell, D. L., and A. W. Cook "Scaling the Incompressible Richtmyer-Meshkov Instability" Phys. Fluids 19, 078105 2007 UCRL-JRNL-227180
Cook, A. W. "Artificial Fluid Properties for Large-Eddy Simulation of Compressible Turbulent Mixing" Phys. Fluids 19, 055103 2007 UCRL-JRNL-227155
Cabot, W. H., and A. W. Cook "Reynolds Number Effects on Rayleigh-Taylor Instability with Possible Implications for Type Ia Supernovae" Nature Physics 2, 562-568 2006 UCRL-JRNL-220083
Cabot, W. "Comparison of two- and three-dimensional simulations of miscible Rayleigh-Taylor instability" Phys. Fluids 18, 045101 2006  
Miller, P. L., W. H. Cabot, and A. W. Cook "Which way is up? A fluid dynamics riddle," APS/DFD Gallery of Fluid Motion Winner Phys. Fluids 17, 091110 2005 UCRL-PROC-212901
Cabot, W. H., A. W. Cook, P. L. Miller, D. Laney, M. C. Miller, and H. Childs "Large-eddy Simulation of Rayleigh-Taylor Instability," APS/DFD Gallery of Fluid Motion Winner Phys. Fluids 17, 091106 2005 UCRL-JRNL-209938
Cook, A. W., and W. H. Cabot "Hyperviscosity for Shock-Turbulence Interactions" J. Comput. Phys. 203, 379-385 2005 UCRL-JRNL-202570
Cook, A. W., W. Cabot, and P. L. Miller "The Mixing Transition in Rayleigh-Taylor Instability" J. Fluid Mech. 511, 333-362 2005 UCRL-JC-155254
Cook, A. W., and W. H. Cabot "A High-Wavenumber Viscosity for High-Resolution Numerical Methods" J. Comput. Phys. 195, 594-601 2004 UCRL-ID-152002
Cabot, W. H., O. Schilling, and Y. Zhou "Influence of subgrid scales on resolvable turbulence and mixing in Rayleigh-Taylor flow" Phys. Fluids 16, 495-508 2004  
Miller, P., P. Lindstrom, and A. Cook "Visualizations of the Dynamics of a Vortical Flow," APS/DFD Gallery of Fluid Motion Winner Phys. Fluids 15(9), S13 2003 UCRL-MI-149219, UCRL-VID-150303
Cook, A. W., and Y. Zhou "Energy Transfer in Rayleigh-Taylor Instability" Phys. Rev. E 66, art. no. 026312 2002 UCRL-JC-143664
Cook, A. W., and P. E. Dimotakis "Transition Stages of Rayleigh-Taylor Instability between Miscible Fluids" J. Fluid Mech. 443, 69-99 2001 UCRL-JC-139044
Cook, A. W. "A Consistent Approach to Large Eddy Simulation Using Adaptive Mesh Refinement" J. Comput. Phys. 154, 117-133 1999 UCRL-JC-132402
Dimotakis, P. E., H. J. Catrakis, A. W. Cook, and J. M Patton (A. Gyr, W. Kinzelbach and A. Tsinober Eds.) "On the Geometry of Two-dimensional Slices of Irregular Level Sets in Turbulent Flows" TRENDS IN MATHEMATICS: Fundamental Problematic Issues in Turbulence Birkhauser Verlag, p. 405-418 1999 UCRL-JC-131726

Venting and debris evolution in a prototype divFE chamber computed with Miranda.

Movie of a Rayleigh-Taylor instabidivty with a density ratio of 3 (red) to 1 (blue).

Movie comparing Miranda with a molecular dynamics simulation of Kelvin-Helmholtz instabidivty.

Miranda simulation of Richtmeyer-Meshkov instabidivty with reshock.

Opposite view of Richtmyer-Meshkov simulation.



Please contact cook33 [at] llnl.gov (Andy Cook) if you have questions or comments.