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Two mode coupling of the ablative Rayleigh-Taylor instabilities

The coupling and evolution of two-mode ablative Rayleigh-Taylor instability (ARTI) in two-dimensional geometry are studied via numerical simulations. We focus primarily on two scenarios: Coupling and bubble competition of a long and a short wavelength mode and of two short-wavelength modes. It is found that the long-wavelength modes tend to dominate in the nonlinear phase of the long-short coupling cases. The presence of the short-wavelength mode in the long-short cases enhances the total ARTI bubble vertex velocity. However, due to the formation of enclosed bubbles, this enhancement does not increase monotonically with the initial short-wavelength amplitude. Coupling of two short-wavelength modes forms a long-wavelength component which grows faster than each individual short-wavelength mode.The coupling and evolution of two-mode ablative Rayleigh-Taylor instability (ARTI) in two-dimensional geometry are studied via numerical simulations. We focus primarily on two scenarios: Coupling and bubble competition of a long and a short wavelength mode and of two short-wavelength modes. It is found that the long-wavelength modes tend to dominate in the nonlinear phase of the long-short coupling cases. The presence of the short-wavelength mode in the long-short cases enhances the total ARTI bubble vertex velocity. However, due to the formation of enclosed bubbles, this enhancement does not increase monotonically with the initial short-wavelength amplitude. Coupling of two short-wavelength modes forms a long-wavelength component which grows faster than each individual short-wavelength mode.