Abstract
Nonlinear amplitude saturation (NAS) of the fundamental mode of Rayleigh–Taylor instability (RTI) in a finite-thickness incompressible fluid layer is investigated analytically by considering high-order corrections (HOCs) up to the ninth order. The results of classical RTI [Liu et al., Phys. Plasmas 19, 042705 (2012)] can be recovered for the normalized fluid thickness kd→∞. It is found that the NAS of the fundamental mode on the lower and upper interfaces is clearly larger than its third-order counterpart [Wang et al., Phys. Plasmas 21, 122710 (2014)] when the HOCs are considered, especially for the lower (linearly unstable) interface. Furthermore, the NAS on both interfaces exhibits the trend of convergence with increasing order of corrections.
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