Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-26T07:15:30.162Z Has data issue: false hasContentIssue false
  • English
  • Français

Laser–matter interactions: Inhomogeneous Richtmyer–Meshkov and Rayleigh–Taylor instabilities

Published online by Cambridge University Press:  06 January 2016

Stjepan Lugomer
Stjepan Lugomer*
Affiliation:
Rudjer Boskovic Institute, Center of Excellence for Advanced Materials and Sensing Devices, Bijenička c. 54, 10000 Zagreb, Croatia
*
Address correspondence and reprint request to: S. Lugomer, Rudjer Boskovic Institute, Center of Excellence for Advanced Materials and Sensing Devices, Bijenička c. 54, 10000 Zagreb, Croatia. E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In this experimental study, the ablative Richtmyer–Meshkov (RM) and the Rayleigh–Taylor (RT) instabilities were generated by the laser pulse of Gaussian-like power profile. The initial multi-modal perturbation, the inhomogeneous momentum transfer and different Atwood numbers generate different shapes of spikes and bubbles in the central region (CR) and the near-central region (NCR) of the spot. A one-dimensional Gaussian-like power profile causes the formation of the wavy-like rows of aperiodic spikes. The periodic spike segments inside the rows appear due to locally coherent flow. In the NCR, the mushroom-shape spikes tend to the organization on the isotropic square and the anisotropic rhombic lattices. The increase of the lattice periods two, three, or four times indicates formation of superstructures. The growth of sharp asymmetric RM/RT spikes in the CR is fast, uncorrelated and linear, while the growth of the symmetric mushroom-shape ones in the NCR is slow, correlated, and nonlinear.

Keywords

Laser ablationRichtmyer–Meshkov instablityRayleigh–Taylor instabilityTurbulent mixingSelf-similar structuresCoherent structures
Type
Research Article
Information
Laser and Particle Beams , Volume 34 , Issue 1 , March 2016 , pp. 123 - 136
Copyright
Copyright © Cambridge University Press 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Abarzhi, S.I. (1998). Stable steady flows in RT instability. Phys. Rev. Lett. 81, 337–340.Google Scholar
Abarzhi, S.I. (2008). Coherent structures and pattern formation in Rayleigh Taylor turbulent mixing. Phys. Scr. 78, 015401-1–015401-9.Google Scholar
Abarzhi, S.I. (2010). Review of theoretical modelling approaches of Rayleigh–Taylor instabilities and turbulent mixing. Phil. Trans. R. Soc. A 368, 1809–1828.Google Scholar
Abarzhi, S.I. & Hermann, M. (2003). New type of the interface evolution in the RMI. Annual Research Briefs 2003. Center for Turbulence Research, Defense Technical Information Center, Stanford, CA. www.dtic.mil/cgi-bin/GetTRDoc?AD=ADP014801Google Scholar
Abarzhi, S.I., Nishihara, K. & Glimm, J. (2003). RT and RM instabilities for fluids with finite density ratio. Phys. Lett. A 317, 470–476.Google Scholar
Abarzhi, S.I. & Rosner, R. (2010). A comparative study of approaches for modeling RT turbulent mixing. Phys. Scr. T 142, 014012-1–014012-13.Google Scholar
Alon, U., Ofer, D. & Shvarts, D. (1966). Scaling laws of nonlinear RT and RM instabilities. In Proc. 5th Int. Workshop on Compressible Turbulent Mixing (Young, R., Glimm, J. and Boston, B., Eds.), World Scientific. www.damtp.cam.ac.uk/iwpctm9/proceedings/.../Alon_Ofer_Shvarts.pdfGoogle Scholar
Balakumar, B.J., Orlicz, G.C., Tomkins, C.D. & Prestridge, K.P. (2008). Dependence of growth patterns and mixing width on initial conditions in Richtmyer–Meshkov unstable fluid layers. Phys. Scr. T 132, 014013-1–014013-8.Google Scholar
Brouilette, M. & Sturtevant, B. (1994). Experiments on the Richtmyer–Meshkov instability: Single-scale perturbations on continuum interface. J. Fluid Mech. 263, 271–292.Google Scholar
Cohen, R.H., Dennevik, W.P., Dimits, A.M., Eliason, D.E., Mirin, A.A., Zhou, Y., Porter, D.H. & Woodward, P.R. (2002). Three-dimensional simulation of a RM instability with two-scale initial perturbation. Phys. Fluids 14, 3692–3709.CrossRefGoogle Scholar
Dimotakis, P.E. (2000). The mixing transition in turbulent flows. J. Fluid Mech. 409, 69–98.Google Scholar
Fukumoto, Y. & Lugomer, S. (2003). Instability of vortex filaments in laser–matter interactions. Phys. Lett. A 308, 375–380.CrossRefGoogle Scholar
Kane, J., Drake, R.P. & Remington, B.A. (1999). An evaluation of the RM instability in supernova remnant formation. Astrophys. J. 511, 335–340.Google Scholar
Kartoon, D., Oron, D., Arazi, I., & Shvartz, D. (2003). Three-dimensional Rayleigh–Taylor and Richrmyer–Meskhow instabilities at all density ratios. Laser Part. Beams 21, 327–334.Google Scholar
Liao, B. (2012). Nonsymmorphic symmetries and their consequences, web.mit.edu/bolin/www/nonsymmomorphic_symmetry.pdfGoogle Scholar
Llor, A. (2003). Bulk turbulent transport and structure in RT, RM, and variable acceleration instabilities. Laser Part. Beams 21, 305–310.Google Scholar
Long, C.C., Krivets, V.V., Greenough, J.A. & Jacobs, J.W. (2009). Shock tube 3D-experiments and numerical simulation of the single-mode, 3D RM instability. Phys. Fluids 21, 114104-1–114104-9.Google Scholar
Lugomer, S. (2007). Micro-fluid dynamics via laser–matter interactions: Vortex filament structures, helical instability, reconnection, merging, and undulation. Phys. Lett. A 361, 87–97.Google Scholar
Martin, M.P., Taylor, E.M., Wu, M. & Weirs, V.G. (2006). A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence. J. Comput. Phys. 220, 270–289.Google Scholar
Matsuoka, C., Nishihara, K. & Fukuda, Y. (2003). Nonlinear evolution of an interface in the Richtmyer–Meshkov instability. Phys. Rev. E 67, 036301-1–036301-14.Google Scholar
Meshkov, E.E. (1969). Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn. 4, 101–104.CrossRefGoogle Scholar
Miles, A.R., Blue, B., Edwards, M.J., Greenough, J.A., Hansen, F., Robey, H., Drake, R.P., Kuranz, C. & Leibrandt, R. (2005). Transition to turbulence and effect of initial conditions on 3D compressible mixing in planar blast-wave-driven systems. Phys. Plasmas 12, 056317-1–056317-10.Google Scholar
Miles, R., Edwards, M.J., Blue, B., Hansen, J.F. & Robey, H.F. (2004). The effect of a short-wavelength mode on the evolution of a long-wavelength perturbation driven by a strong blast wave. Phys. Plasmas 11, 5507–5519.Google Scholar
Nishihara, K., Ishizaki, R., Wouchuk, J.G., Fukuda, Y. & Shimuta, Y. (1998). Hydrodynamic perturbation growth in start-up phase in laser implosion. Phys. Plasmas 5, 1945–1952.Google Scholar
Nishihara, K., Wouchuk, J.G., Matsuoka, C., Ishizaki, R. & Zhakhovsky, V.V. (2010). RM Instability: Theory of linear and nonlinear evolution. Phil. Trans. R. Soc. A 368, 1769–1807.Google Scholar
Palekar, A., Vorobieff, P. & Truman, C.R. (2007). Two-dimensional simulation of Richtmyer–Meshkov instability. Progr. Comput. Fluid Dyn. 7, 427–435.Google Scholar
Peng, G., Zabusky, N.J. & Zhang, S. (2003). Jet and vortex flows in a shock hemispherical bubble-on-wall configuration. Laser Part. Beams 21, 449–453.Google Scholar
Probyn, M. & Thornber, B. (2013). Reshock of self-similar multimode RMI at high Atwood number in heavy-light and light-heavy configurations. In 14th Eur. Turbulence Conf., Lyon, France. etc14.ens-lyon.fr/openconf/.../request.php?...Google Scholar
Richtmyer, R.D. (1960). Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Math. 13, 297–319.Google Scholar
Rikanati, A., Alon, U. & Shvarts, D. (1998). Vortex model for the nonlinear evolution of the multimode RM instability at low Atwood numbers. Phys. Rev. E 58, 7410–7418.Google Scholar
Schilling, O. & Latini, M. (2010). High-order simulations of 3D reshocked RM instability to late times. Dynamics, dependence on initial conditions, and comparisons to experimental data. Acta Math. Sci. 30, 595–620.CrossRefGoogle Scholar
Shvarts, D., Sadot, O., Oron, D., Kishony, R. & Srebro, Y. (2000). ICF. In 18th Fusion Energy Conf.. www-pub.iaea.org/mtcd/publications/.../ifp_16.pdfGoogle Scholar
Shvarts, D., Sadot, O., Oron, D., Kishony, R., Srebro, Y., Rikanati, A., Kartoon, D., Yedvab, Y., Elbaz, Y., Yosef-Hai, A., Alon, U., Levin, L.A., Sarid, E., Arazi, L. & Ben-Dor, G. (2001). Studies in the Evolution of Hydrodynamic Instabilities and their Role in Inertial Confinement Fusion, IAEA, IF/7. www-pub.iaea.org/mtcd/publications/pdf/csp_008c/html/node263.htmGoogle Scholar
Ting, S., Zhigang, Z. & Xisheng, L. (2014). Experimental study of RM instability in a cylindrical converging shock tube. Laser Part. Beams 32, 343–351.Google Scholar
Velikovich, A. & Dimonte, G. (1996). Nonlinear perturbation theory of the incompressible RM instability. Phys. Rev. Lett. 76, 3112–3115.Google Scholar
Vetter, M. & Sturtevant, B. (1995). Experiments on the RM instability of an air/SF6 interface. Shock Waves 4, 247–252.Google Scholar
Wouchuk, J.G. & Nishihara, K. (1996). Linear growth at a shocked interface. Phys. Plasmas 3, 3761–3776.Google Scholar
Yang, J., Kubota, T. & Zukoski, E.E. (1993). Applications of shock-induced mixing to supersonic combustion. AIAA J. 31, 854–862.Google Scholar
Yang, X., Zabusky, N.J. & Chern, L.I. (1990). Break through via dipolar-vortx formation in shock-accelerated density-stratified layers. Phys. Fluids A2, 892–895.Google Scholar
Zabusky, N.J. (1999). Vortex paradigm for accelerated inhomogeneous flows: Visiometrics for the RT and RM environments. Ann. Rev. Fluid Dyn. 31, 495–536.Google Scholar
Zabusky, N.J., Lugomer, S. & Zhang, S. (2005). Micro-fluid dynamics via laser metal surface interactions: Wave-vortex interpretation of emerging multiscale coherent structures. Fluid Dyn. Res. 36, 291–299.Google Scholar
Zhang, S. & Zabusky, N.J. (2003). Shock-planar curtain interactions: Strong secondary baroclinic deposition and emergence of vortex projectiles and late-time inhomogeneous turbulence. Laser Part. Beams 21, 463–470.Google Scholar
Zhang, S., Zabusky, N.J. & Nishihara, K. (2003). Vortex structures and turbulence emerging in a supernova 1987 configuration: Interactions of “complex” blast waves and cylindrical/spherical bubbles. Laser Part. Beams 21, 471–477.Google Scholar
Supplementary material: File

Lugomer supplementary material

Lugomer supplementary material 1

Download Lugomer supplementary material(File)
File 80.4 KB