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Thermophysics and Aeromechanics

2011 year, number 3

Application of the continuum surface force model to the Rayleigh - Taylor instability problem

S.N. Yakovenko1, K.C. Chang2
1 Khristianovich Institute of Theoretical and Applied Mechanics SB RAS; Novosibirsk State University
2 National Cheng-Kung University
Keywords: Rayleigh - Taylor instability, surface tension model, volume fraction function
Pages: 433-445


The surface tension effect is introduced according to the continuum model for the surface tension force. A smooth variation of the mollified function of the volume fraction (the color function) across the interface between immiscible fluids occurs due to the convolution of the original color function with the smooth kernel function. The polynomial eighth-degree kernel formulated for plane two-dimensional flows bounded by solid walls or symmetry planes is tested for the Rayleigh - Taylor instability problem.