Geodesic
The gaseous mix motion through a~forested area
Matematičeskoe modelirovanie, Tome 11 (1999) no. 7, pp. 3-16.

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To describe the mechanical process of accumulation and consequent pollution by a forest the differential equations of Navier–Stokes, incompressibility and diffusion are used with appropriate boundary conditions. For a solution of the problem the two-dimensional (in a vertical plane) formulation is used. The forest is simulated as a continuous medium, in which a resistance forces are disrtibuted. Two techniques of a solution are considered here: first method uses pressure and components of a velocity vector; second method applies stream and vorticities functions. In both cases the method of geometric decomposition is used, when the two-dimensional differential equations are substituted by a sequence of the one-dimensional tasks. The comparison of numerical solutions of the mentioned problem by two techniques has shown satisfactory coincidence. 
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     author = {M. G. Boyarshinov and P. V. Trusov},
     title = {The gaseous mix motion through a~forested area},
     journal = {Matemati\v{c}eskoe modelirovanie},
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     publisher = {mathdoc},
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     number = {7},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1999_11_7_a0/}
}
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M. G. Boyarshinov; P. V. Trusov. The gaseous mix motion through a~forested area. Matematičeskoe modelirovanie, Tome 11 (1999) no. 7, pp. 3-16. http://geodesic.mathdoc.fr/item/MM_1999_11_7_a0/