Nonlinear evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Dimonte, G

doi:10.1063/1.873491

Nonlinear evolution of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Conference · Sun Nov 01 04:00:00 EST 1998

DOI:https://doi.org/10.1063/1.873491· OSTI ID:5773

Dimonte, G ^[1]

LLNL

Scaled experiments on the nonlinear evolution of the Rayleigh- Taylor (RT) and Richtmyer-Meshkov (RM) instabilities are described under a variety, of conditions that occur in nature. At high Reynolds number, the mixing layer grows self-similarly - {alpha}{sub i}Agt{sup 2} for a constant acceleration (g), and as a power law t{sup {theta}{sub i}} for impulsive accelerations U{delta}(t) at low and high Mach numbers. The growth coefficients {alpha}{sub i} and {theta}{sub i} exponents are measured over a comprehensive range of Atwood numbers A. The RT instability is also investigated with Non- Newtonian materials which are independently characterized. A critical wavelength and amplitude for instability is observed associated with the shear modulus and tensile yield of the material. The results are applicable from supernova explosions to geophysical flows subject to these hydrodynamic instabilities.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA

Sponsoring Organization:: USDOE Office of Defense Programs (DP)

DOE Contract Number:: W-7405-ENG-48

OSTI ID:: 5773

Report Number(s):: UCRL-JC-132439; DP0210000; ON: DE00005773

Country of Publication:: United States

Language:: English

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