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University of Cambridge > Talks.cam > Applied and Computational Analysis Graduate Seminar > Calculating Effective Diffusivities in the Limit of Vanishing Molecular Diffusion

## Calculating Effective Diffusivities in the Limit of Vanishing Molecular DiffusionAdd to your list(s) Download to your calendar using vCal - Kostas Zygalakis (Warwick and visiting David Crighton fellow at DAMTP)
- Friday 17 October 2008, 14:00-15:00
- MR14, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.
If you have a question about this talk, please contact . In this talk we will discuss the problem of the numerical calculation (by Monte Carlo Methods) of the effective diffusivity for a particle moving in a periodic divergent-free velocity filed, in the limit of vanishing molecular diffusion. In this limit traditional numerical methods typically fail, since they do not represent accurately the geometry of the underlying deterministic dynamics. We propose a stochastic splitting method that takes into account the volume preserving property of the equations of motion in the absence of noise, and when inertial effects can be neglected. An extension of the method is then proposed for the cases where the noise has a non trivial time-correlation structure and when inertial effects cannot be neglected. The method of modified equations is used to explain failings of Euler-based methods. The new stochastic geometric integrators are shown to outperform standard Euler-based integrators. Various asymptotic limits of physical interest are investigated by means of numerical experiments, using the new integrators. This talk is part of the Applied and Computational Analysis Graduate Seminar series. ## This talk is included in these lists:- All CMS events
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- MR14, Centre for Mathematical Sciences, Wilberforce Road, Cambridge
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