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Removing the stiffness from interfacial flows with surface tension
A new formulation and new methods are presented for computing the motion of fluid interfaces with surface tension in two-dimensional, irrotational, and incompressible fluids. Through the… Expand
The mechanics of slithering locomotion
- D. Hu, J. Nirody, T. Scott, M. Shelley
- Medicine, Geology
- Proceedings of the National Academy of Sciences
- 23 June 2009
In this experimental and theoretical study, we investigate the slithering of snakes on flat surfaces. Previous studies of slithering have rested on the assumption that snakes slither by pushing… Expand
Drag reduction through self-similar bending of a flexible body
The classical theory of high-speed flow predicts that a moving rigid object experiences a drag proportional to the square of its speed. However, this reasoning does not apply if the object in the… Expand
Efficient and Accurate Time-Stepping Schemes for Integrate-and-Fire Neuronal Networks
- M. Shelley, L. Tao
- Computer Science, Mathematics
- Journal of Computational Neuroscience
- 1 September 2001
To avoid the numerical errors associated with resetting the potential following a spike in simulations of integrate-and-fire neuronal networks, Hansel et al. and Shelley independently developed a… Expand
Flapping states of a flag in an inviscid fluid: bistability and the transition to chaos.
We investigate the "flapping flag" instability through a model for an inextensible flexible sheet in an inviscid 2D flow with a free vortex sheet. We solve the fully-nonlinear dynamics numerically… Expand
Orientational order and instabilities in suspensions of self-locomoting rods.
The orientational order and dynamics in suspensions of self-locomoting slender rods are investigated numerically. In agreement with previous theoretical predictions, nematic suspensions of swimming… Expand
An egalitarian network model for the emergence of simple and complex cells in visual cortex
- L. Tao, M. Shelley, D. McLaughlin, R. Shapley
- Physics, Medicine
- Proceedings of the National Academy of Sciences…
- 26 December 2003
We explain how simple and complex cells arise in a large-scale neuronal network model of the primary visual cortex of the macaque. Our model consists of ≈4,000 integrate-and-fire, conductance-based… Expand
Instabilities and pattern formation in active particle suspensions: kinetic theory and continuum simulations.
We use kinetic theory and nonlinear continuum simulations to study the collective dynamics in suspensions of self-propelled particles. The stability of aligned suspensions is first analyzed, and we… Expand
Instabilities, pattern formation and mixing in active suspensions
Suspensions of self-propelled particles, such as swimming micro-organisms, are known to undergo complex dynamics as a result of hydrodynamic interactions. To elucidate these dynamics, a kinetic… Expand
Coherent locomotion as an attracting state for a free flapping body.
A recent experiment [Vandenberghe, N., Zhang, J. & Childress, S. (2004) J. Fluid Mech. 506, 147-155] has shown that an axle-mounted blade can spontaneously rotate when oscillated (or "flapped") above… Expand