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

James R. Brannan, Jinqiao Duan and Vincent J. Ervin

Mathematical Problems in Engineering, 2001, vol. 7, 1-11

Abstract:

We investigate fluid transport in random velocity fields with unsteady drift. First, we propose to quantify fluid transport between flow regimes of different 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 partial differential equations. A few computational issues are also discussed. Finally, we apply these ideas and numerical algorithms to a tidal flow model.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:563806

DOI: 10.1155/S1024123X01001521

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