Discontinuity, Nonlinearity, and Complexity 4(2) (2015) 187--197 | DOI:10.5890/DNC.2015.06.006

Ranis N. Ibragimov; Andrew Barnes; Peter Spaeth; Radislav Potyrailo; Majid Nayeri

GE Global Research, 1 Research Circle, Niskayuna, NY 12309, USA

Abstract

A simple two-dimensional mathematical approach for source localization of contaminants in the vicinity of individual simple two-dimensional obstacles is proposed. The approach consists of scaling analysis of advectiondiffusion potential flows that can be used in the vicinity of two-dimensional cylindrical obstacles. Three different modeling scenarios are developed in order to simulate the effects of wind. Particularly, the model incorporates the cases of anisotropic diffusion and spatially and temporary inhomogeneous airflow speeds.

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