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Contact: F.X.Timmes
my one page vitae,
full vitae,
research statement, and
teaching statement.
A Comparison of High-Resolution 3D Numerical Simulations of Turbulent Rayleigh-Taylor (RT) Instability: Alpha-Group Collaboration (2004)

In this article, the turbulent Rayleighba variety of high-resolution, multimode, three dimensional numerical simulations (NS). The perturbations are initialized with only short wavelength modes so that the self-similar evolution i.e., bubble diameter Db ∝ amplitude hb) occurs solely by the nonlinear coupling merger of saturated modes. After an initial transient, it is found that hb ∼ α A g t2 , where A=Atwood number, g=acceleration, and t=time. The NS yield Db ∼ hb/3 in agreement with experiment but the simulation value αb ∼ 0.025 ± 0.003 is smaller than the experimental value αb ∼ 0.057 ± 0.008. By analyzing the dominant bubbles, it is found that the small value of αb can be attributed to a density dilution due to fine-scale mixing in our NS without interface reconstruction (IR) or an equivalent entrainment in our NS with IR. This may be characteristic of the mode coupling limit studied here and the associated αb may represent a lower bound that is insensitive to the initial amplitude. Larger values of αb can be obtained in the presence of additional long wavelength perturbations and this may be more characteristic of experiments. Here, the simulation data are also analyzed in terms of bubble dynamics, energy balance and the density fluctuation spectra.

Simulation vs Experiment
Code verification