Ecological modeling and Lagrangian approach

• Autorzy: Boris Arkhipov , Viacheslav Solbakov , Mikhail Solov’ev , Dmitry Shapochkin
• Języki publikacji: EN

Abstrakty

EN

A mathematical model is proposed for a quantitative estimation of the damage to biological resources resulting from a pollutant discharge into an aqueous environment. On the basis of the Lagrangian description of fluid motion a set of hydrophysical parameters is introduced with help of which hydrobiologists can estimate the damage. The computation of parameters introduced is illustrated by the example of a model problem of a pollutant spreading in a canal. For the discretization of the problem a deformable Lagrangian grid is used. A special grid reconstruction procedure with the subsequent interpolation of the parameters computed is proposed, which ensures computational stability and preserves the values of the most important hydrophysical parameters. Numerical results are presented.

Słowa kluczowe

EN

Environmental impact assessment; Lagrangian approach; Pollutant transport; Transport-diffusion equation; Numerical simulation; Lagrangian grids

Kategorie tematyczne

• 92-08: Computational methods

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 4
• Strony: 734-745

Daty

wydano

2013-04-01

online

2013-01-29

Twórcy

autor

Boris Arkhipov

• Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS

autor

Viacheslav Solbakov

• Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS

autor

Mikhail Solov’ev

• Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS

autor

Dmitry Shapochkin

• Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS

Bibliografia

• [1] Arkhipov B.V., Koterov V.N., Solbakov V.V., Shapochkin D.A., Modeling of turbulent pollutant dispersion in sea environment, Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, 2005, preprint (in Russian)
• [2] Arkhipov B.V., Solbakov V.V., Solov’ev M.B., Shapochkin D.A., Modeling of hydrodynamical processes at offshore region and ecological computations, Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, 2011, preprint (in Russian)
• [3] Arkhipov B.V., Koterov V.N., Solbakov V.V., Shapochkin D.A., Yurezanskaya Yu.S., Numerical simulation of pollution and oil spill spreading by the stochastic discrete particle method, Comput. Math. Math. Phys., 2007, 47(2), 280–292 http://dx.doi.org/10.1134/S096554250702011X
• [4] Arkhipov B.V., Koterov V.N., Solbakov V.V., Yurezanskaya Yu.S., Simulation of suspended substance transport on the continental shelf: computation of soil dumping in the Sea of Azov, Comput. Math. Math. Phys., 2010, 50(4), 711–720 http://dx.doi.org/10.1134/S0965542510040123
• [5] Lamb H., Hydrodynamics, 6th ed., Cambridge Math. Lib., Cambridge University Press, Cambridge, 1993
• [6] Monin A.S., Yaglom A.M., Statistical Fluid Mechanics I–II, Dover, Mineola, 2007
• [7] Samarskii A.A., Vabishchevich P.N., Computational Heat Transfer II, John Wiley & Sons, New York, 1996
• [8] Shavykin A.A., Sokolova S.A., Vashchenko P.S., Suspended matter in hydrotechnical works at shelf region. Impact estimation at biota in the calculation of a damage to fish stock, Protection of Environment at Oil-Gas Complex, 2011, 3, 11–17 (in Russian)
• [9] Volkova R.A., Mihailova N.V., Tishkin V.F., Favorskiy A.P., An application of the variational approach to the computation of gas flows on grids with variable structure, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 1982, preprint #17 (in Russian)

Identyfikatory

DOI

10.2478/s11533-012-0163-y