Escape probability and mean residence time in random flows with unsteady drift

Citation
Jr. Brannan et al., Escape probability and mean residence time in random flows with unsteady drift, MATH PROB E, 7(1), 2001, pp. 55-65
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN journal
1024123X → ACNP
Volume
7
Issue
1
Year of publication
2001
Pages
55 - 65
Database
ISI
SICI code
1024-123X(2001)7:1<55:EPAMRT>2.0.ZU;2-4
Abstract
We investigate fluid transport in random velocity fields with unsteady drif t. First, we propose to quantify fluid transport between Bow regimes of dif ferent characteristic motion, by escape probability and mean residence time . We then develop numerical algorithms to solve for escape probability and mean residence time, which are described by backward Fokker-Planck type par tial differential equations. A few computational issues are also discussed. Finally, we apply these ideas and numerical algorithms to a tidal Bow mode l.