For the purpose of understanding fingering patterns, we propose a simple model system composed of splitting elements where we regard a tip of each finger as a basic dynamical unit. Numerical simulations of the model reproduce turbulent states, fractal and tree-like structures and spatiotemporal intermittency which are all quite similar in behavior to real systems. keywords: fingering patterns, ...

We experimentally study the viscous fingering instability in a fluid-fluid phase separated colloid-polymer mixture by means of laser scanning confocal microscopy and microfluidics. We focus on three aspects of the instability. (i) The interface between the two demixed phases has an ultralow surface tension, such that we can address the role of thermal interface fluctuations. (ii) We image the i...

We detail the experimental situation concerning the fingering instability that occurs when a solid fuel is forced to burn against a horizontal oxidizing wind. The instability appears when the Rayleigh number for convection is below criticality. The focus is on the developed fingering state. We present direct measurements of the depletion of oxygen by the front as well as new results that connec...

We show that a minimal model for viscous fingering with a nematic liquid crystal in which anisotropy is considered to enter through two different viscosities in two perpendicular directions can be mapped to a twofold anisotropy in the surface tension. We numerically integrate the dynamics of the resulting problem with the phase-field approach to find and characterize a transition between tip sp...

Fingering is a cognitive process that maps each note on a music score to a fingered position on some instrument. This paper presents a computational model for the fingering process with string instruments, based on a constraint satisfaction approach. The model is implemented in a computer program, which has been tested in an experiment in comparison with three human experts. The results have co...

Viscous fingering is a commonly observed interfacial instability during fluid displacement, where fingerlike shape formed at the interface when more viscous displaced by less fluid. In this study, hybrid numerical model based on lattice Boltzmann method and finite difference developed for investigating control of leaky dielectric fluids confined in channel using electrohydrodynamics. Extensive ...

In this paper, we describe a playable musical interface for tablets and multi-touch tables. The interface is a generalized keyboard, inspired by the Thummer, and consists of an array of virtual buttons. On a generalized keyboard, any given interval always has the same shape (and therefore fingering); furthermore, the fingering is consistent over a broad range of tunings. Compared to a physical ...