Numerical simulation of Faraday waves

Numerical simulation of Faraday waves

Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH) Ecole Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI) Centre National de la Recherche Scientifique (CNRS) UMR 7636 Université Paris 6 et Paris 7 10, rue Vauquelin 75231 Paris Cedex 5 France Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI) Centre National de la Re...

Wave Theory II — Numerical Simulation of Waves — (1) Weve Equations and Numerical Simulation of Waves

This course describes the fundamental theories of the numerical simulation methods of wave phenomena by using computers. In this first lecture, wave equations in different areas are briefly reviewed, and are generalized into the common equation. Then, the purposes and the advantages of the numerical simulation are described. Finally, the methods which are described in this course are introduced...

FAR Faraday Waves

On Faraday waves

The standing waves of frequency wand wavenumber k that are induced on the surface of a liquid of depth d that is subjected to the vertical displacement a, cos 2wt are determined on the assumptions t1mt: the effects of lateral boundaries are negligible: £ = ka, tanh kd ~ 1 and 0 < £-0 = 0(0'), where 0 is the linear damping ratio of a free wave of frequency w; the ""wes form a square pattern (whi...

Hysteretic Faraday waves.

We report on the numerical and theoretical study of the subcritical bifurcation of parametrically amplified waves appearing at the interface between two immiscible incompressible fluids when the layer of the lower fluid is very shallow. As a critical control parameter is surpassed, small amplitude surface waves bifurcate subcritically toward highly nonlinear ones with twice their amplitude. We ...