Exponential Time Differencing for Stiff Systems
- S. Cox, P. Matthews
- Computer Science, Mathematics
- 1 March 2002
A class of numerical methods for stiff systems, based on the method of exponential time differencing, is developed, with schemes with second- and higher-order accuracy, and new Runge?Kutta versions of these schemes are introduced.
Topological chaos in inviscid and viscous mixers
A fast technique for computing the velocity field for either inviscid, irrotational or highly viscous flow, which enables accurate numerical simulation of dye advection and finds close agreement with Boyland et al., irrespective of whether the fluid is modelled as Inviscid or viscous.
Pattern formation with a conservation law
- P. Matthews, S. Cox
- Physics
- 1 June 2000
Pattern formation in systems with a conserved quantity is considered by studying the appropriate amplitude equations. The conservation law leads to a
large-scale neutral mode that must be included…
Langmuir Circulations in a Surface Layer Bounded by a Strong Thermocline
- S. Cox, S. Leibovich
- Environmental Science
- 1 July 1993
Abstract Langmuir circulations reside in, and are responsible in part for the existence and maintenance of, the mixed layer. It is, therefore, typical for the water containing Langmuir circulations…
Initial conditions for models of dynamical systems
- S. Cox, A. Roberts
- Computer Science
- 25 November 1994
New instabilities in two-dimensional rotating convection and magnetoconvection
- S. Cox, P. Matthews
- Physics, Environmental Science
- 15 February 2001
Two-dimensional flow of a viscous fluid in a channel with porous walls
- S. Cox
- MathematicsJournal of Fluid Mechanics
- 1 June 1991
We consider the flow of a viscous incompressible fluid in a parallel-walled channel, driven by steady uniform suction through the porous channel walls. A similarity transformation reduces the…
Large Rayleigh number thermal convection: Heat flux predictions and strongly nonlinear solutions
We investigate the structure of strongly nonlinear Rayleigh–Benard convection cells in the asymptotic limit of large Rayleigh number and fixed, moderate Prandtl number. Unlike the flows analyzed in…
Asymptotic analysis of the steady-state and time-dependent Berman problem
AbstractThe Berman problem for two-dimensional flow of a viscous fluid through an infinite channel is studied. Fluid motion is driven by uniform suction (or injection) of fluid through the upper…
Stability Assessment of Power-Converter-Based AC systems by LTP Theory: Eigenvalue Analysis and Harmonic Impedance Estimation
- Valerio Salis, A. Costabeber, S. Cox, P. Zanchetta
- EngineeringIEEE Journal of Emerging and Selected Topics in…
- 9 June 2017
Stability analysis of power-converter-based ac systems poses serious challenges not only because of the nonlinear nature of power converters, but also because linearization is not generally applied…
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