Skip to main content

Research Repository

Advanced Search

All Outputs (28)

Two-dimensional Stokes flow driven by elliptical paddles (2007)
Journal Article
Cox, S. M., & Finn, M. D. (2007). Two-dimensional Stokes flow driven by elliptical paddles. Physics of Fluids, 19(11), https://doi.org/10.1063/1.2789970

A fast and accurate numerical technique is developed for solving the biharmonic equation in a multiply connected domain, in two dimensions. We apply the technique to the computation of slow viscous flow (Stokes flow) driven by multiple stirring rods.... Read More about Two-dimensional Stokes flow driven by elliptical paddles.

Persistent localized states for a chaotically mixed bistable reaction (2006)
Journal Article
Cox, S. M. (2006). Persistent localized states for a chaotically mixed bistable reaction. Physical Review E, 74(5),

We describe the evolution of a bistable chemical reaction in a closed two-dimensional chaotic laminar flow, from a localized initial disturbance. When the fluid mixing is sufficiently slow, the disturbance may spread and eventually occupy the entire... Read More about Persistent localized states for a chaotically mixed bistable reaction.

Class-D audio amplifiers with negative feedback (2006)
Journal Article
Cox, S. M., & Candy, B. H. (2006). Class-D audio amplifiers with negative feedback. SIAM Journal on Applied Mathematics, 66(2),

There are many different designs for audio amplifiers. Class-D, or switching, amplifiers generate their output signal in the form of a high-frequency square wave of variable duty cycle (ratio of on time to off time). The square-wave nature of the ou... Read More about Class-D audio amplifiers with negative feedback.

A bistable reaction-diffusion system in a stretching flow (2006)
Journal Article
Cox, S. M., & Gottwald, G. A. (2006). A bistable reaction-diffusion system in a stretching flow. Physica D: Nonlinear Phenomena, 216(2),

We examine the evolution of a bistable reaction in a one-dimensional stretching flow, as a model for chaotic advection. We derive two reduced systems of ordinary differential equations (ODEs) for the dynamics of the governing advection-reaction-diffu... Read More about A bistable reaction-diffusion system in a stretching flow.

Reduced models of chemical reaction in chaotic flows (2006)
Journal Article
Vikhansky, A., & Cox, S. M. (2006). Reduced models of chemical reaction in chaotic flows. Physics of Fluids, 18(3), https://doi.org/10.1063/1.2182373

We describe and evaluate two reduced models for nonlinear chemical reactions in a chaotic laminar flow. Each model involves two separate steps to compute the chemical composition at a given location and time. The “manifold tracking model” first track... Read More about Reduced models of chemical reaction in chaotic flows.

Chaotic mixing of a competitive-consecutive reaction (2004)
Journal Article
Cox, S. M. (2004). Chaotic mixing of a competitive-consecutive reaction. Physica D: Nonlinear Phenomena, 199(3-4), 369-386. https://doi.org/10.1016/j.physd.2004.08.030

The evolution of a competitive-consecutive chemical reaction is computed numerically in a two-dimensional chaotic fluid flow with initially segregated reactants. Results from numerical simulations are used to evaluate a variety of reduced models c... Read More about Chaotic mixing of a competitive-consecutive reaction.

Class D amplifier power stage with PWM feedback loop
Journal Article
Lam, C., Tan, M., Cox, S. M., & Yeo, K. Class D amplifier power stage with PWM feedback loop. IEEE Transactions on Power Electronics, 28(8), https://doi.org/10.1109/TPEL.2012.2230027

This paper presents a Second-Order Pulse Width Modulation (PWM) feedback loop to improve Power Supply Rejection (PSR) of any open-loop PWM Class-D amplifiers (CDAs). PSR of the audio amplifier has always been a key parameter in mobile phone applicat... Read More about Class D amplifier power stage with PWM feedback loop.