Multiscale Modeling of Viscoelastic Materials Containing Rigid Nonrotating Inclusions
We introduce and apply a multiscale simulation method for the investigation of sheared viscoelastic materials containing rigid nonrotating cylindrical inclusions. The method is based on a classical s...
We introduce and apply a multiscale simulation method for the investigation of sheared viscoelastic materials containing rigid nonrotating cylindrical inclusions. The method is based on a classical s...
Automated Model Reduction for Complex Systems Exhibiting Metastability
We present a novel method for the identification of the most important metastable states of a system with complicated dynamical behavior from time series information. The novel approach represents th...
We present a novel method for the identification of the most important metastable states of a system with complicated dynamical behavior from time series information. The novel approach represents th...
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A Generalized Taylor–Aris Formula and Skew Diffusion
Multiscale Model. Simul. Volume 5, Issue 3, pp. 786-801 (January 2006)
Published September 15, 2006
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This paper concerns the Taylor–Aris dispersion of a dilute solute concentration immersed in a highly heterogeneous fluid flow having possibly sharp interfaces (discontinuities) in the diffusion coefficient and flow velocity. The focus is twofold: (i) calculation of the longitudinal effective dispersion coefficient and (ii) sample path analysis of the underlying stochastic process governing the motion of solute particles. Essentially complete solutions are obtained for both problems.
©2006 Society for Industrial and Applied Mathematics| History: | Received October 14, 2005; accepted May 16, 2006; published September 15, 2006 |
| Permalink: | http://dx.doi.org/10.1137/050642770 |
KEYWORDS and AMS
60J70, 35R05, 47D07, 86A05
PUBLICATION DATA
1540-3459 (print)
1540-3467 (online)
SIAM