Numerical simulation of two-dimensional Faraday waves with phase-field modelling

  title={Numerical simulation of two-dimensional Faraday waves with phase-field modelling},
  author={Kentaro Takagi and Takeshi Matsumoto},
  journal={Journal of Fluid Mechanics},
  pages={409 - 425}
Abstract A fully nonlinear numerical simulation of two-dimensional Faraday waves between two incompressible and immiscible fluids is performed by adopting the phase-field method with the Cahn–Hilliard equation due to Jacqmin (J. Comput. Phys., vol. 155, 1999, pp. 96–127). Its validation is checked against the linear theory. In the nonlinear regime, qualitative comparison is made with an earlier vortex-sheet simulation of two-dimensional Faraday waves by Wright, Yon & Pozrikidis (J. Fluid Mech… 
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must not spill onto p.2 ar X iv :2 20 7. 13 73 9v 1 [ ph ys ic s. fl udy n] 2 7 Ju l 2 02 2 2 Gollub 1989; Douady 1990; Müller 1993; Edwards & Fauve 1994; Binks & van de Water 1997; Kudrolli et al.


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  • D. Jacqmin
  • Engineering
    Journal of Fluid Mechanics
  • 2000
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