… fluids that is enclosed in a confined domain is an important … Helmholtz instability or the
Rayleigh-Taylor instability. In other … is subject to the Rayleigh-Taylor instability that naturally mixes …

… The cross section of the Hele-Shaw cell is a rectangular domain of height b and … the domain
size. We impose no-slip and no-flux boundary conditions at the top and bottom of the domain …

… the Rayleigh-Taylor instability in confined and isotropic porous media. The Rayleigh-Taylor …
number considered here (Ra0 = 19953), we discretized the domain using 2048 × 1025 …

… by Rayleigh–Taylor instability in a tightly confined domain. In … examine the relationship
between domain width and certain … initial conditions, we extend Taylor’s linear model of instability …

… Again in a high-aspect-ratio domain, chapter 7 investigates Rayleigh-Taylor … Rayleigh-Taylor
instability sandwiched between two stable linear stratifcations in a low-aspect ratio domain, …

… In an unbounded or dosed domain the difficulties encountered in a numerical … domain, there
is the extra difficulty of the accurate evaluation of the Green's function G. In a periodic domain…

… in the finite- and infinite-sized domains. Special solutions for bubbles and spikes … of domain
confinement is that the velocity and curvature decreases and shear increases as the domain …

… In order to investigate the transition from the 2D to the 3D regime, we consider the DarcyRayleigh-Taylor
flow in a domain of size Lx, Ly, Lz with Lz ≫ Lx ⩾ Ly at varying transverse …

… the nonlinear stage of the Rayleigh-Taylor instability and to a discussion of bubble dynamics
in two and three dimensions for closed and open bubble domains. For this purpose simple …

… An indicator Heaviside function is employed to define the material property fields for the
entire domain. A single non-dimensional momentum equation is written for the entire flow field …