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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Scaling Modeling of the Emitted Substance Dispersion Transported by Advection Caused by Non-homogeneousWind Field and by Isotropic and Anisotropic Diffusion in Vicinity of Obstacles

Discontinuity, Nonlinearity, and Complexity 4(2) (2016) 187--197 | DOI:10.5890/DNC.2016.06.006

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

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

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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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