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

• Published in: Journal of fluid mechanics Vol. 686; pp. 409 - 425
• Main Authors: Takagi, Kentaro, Matsumoto, Takeshi
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.11.2011
• Subjects: Computational fluid dynamics; Computer simulation; Exact sciences and technology; Fluid dynamics; Fluid flow; Fluid mechanics; Fluids; Fundamental areas of phenomenology (including applications); Hydrodynamic waves; Incompressible flow; Mathematical models; Nonlinearity; Physics; Simulation; Two dimensional; Faraday waves; multiphase flow; parametric instability; Interfaces; Parametric instabilities; Surface waves; Digital simulation; Modelling; Incompressible fluid; Immiscible fluid; Oscillating vessel; Non linear wave

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 th...