Evaluating water pollution characteristics based on Lagrangian approach
A method is proposed for calculating water pollution characteristics. A correct definition and evaluation of those characteristics is shown to be possible only with the use of Lagrangian approach. To overcome the difficulties in calculations on a Lagrangian grid subject to deformations, specific fea...
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| Published in | Water resources Vol. 42; no. 1; pp. 63 - 69 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Moscow
Springer-Verlag
01.01.2015
Pleiades Publishing Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0097-8078 1608-344X |
| DOI | 10.1134/S0097807814060025 |
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| Abstract | A method is proposed for calculating water pollution characteristics. A correct definition and evaluation of those characteristics is shown to be possible only with the use of Lagrangian approach. To overcome the difficulties in calculations on a Lagrangian grid subject to deformations, specific features of interpolating the estimated values in the passage from deformed Lagrangian grid to an undeformed grid are considered. A new procedure is proposed, which preserves the values of major functionals at such interpolation. The character of perturbations of estimates, arising from the restructuring of the grid and the subsequent interpolation, is analyzed. Those perturbations are shown to be insignificant. |
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| AbstractList | A method is proposed for calculating water pollution characteristics. A correct definition and evaluation of those characteristics is shown to be possible only with the use of Lagrangian approach. To overcome the difficulties in calculations on a Lagrangian grid subject to deformations, specific features of interpolating the estimated values in the passage from deformed Lagrangian grid to an undeformed grid are considered. A new procedure is proposed, which preserves the values of major functionals at such interpolation. The character of perturbations of estimates, arising from the restructuring of the grid and the subsequent interpolation, is analyzed. Those perturbations are shown to be insignificant. A method is proposed for calculating water pollution characteristics. A correct definition and evaluation of those characteristics is shown to be possible only with the use of Lagrangian approach. To overcome the difficulties in calculations on a Lagrangian grid subject to deformations, specific features of interpolating the estimated values in the passage from deformed Lagrangian grid to an undeformed grid are considered. A new procedure is proposed, which preserves the values of major functionals at such interpolation. The character of perturbations of estimates, arising from the restructuring of the grid and the subsequent interpolation, is analyzed. Those perturbations are shown to be insignificant.[PUBLICATION ABSTRACT] |
| Author | Arkhipov, B. V Solbakov, V. V Solov’ev, M. B Shapochkin, D. A |
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| DOI | 10.1134/S0097807814060025 |
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| References | ArkhipovBVSolbakovVVSolov’evMBShapochkinDAModelirovanie gidrodinamicheskikh protsessov v pribrezhnoi zone i ekologicheskie raschety2010MoscowVTs RAN(Modeling Hydrodynamic Processes in the Coastal Zone and Ecological Calculations) LandauLDLifshitsEMGidrodinamika1988MoscowNauka(Hydrodynamics) SamarskiiAAVabishchevichPNVychislitel’naya teploperedacha2003MoscowEditorial URSS(Computational Heat Transfer) VolkovaRAMikhailovaNVTishkinVFFavorskiiAPPrimenenie variatsionnogo podkhoda dlya rascheta gazodinamicheskikh techenii na setkakh peremennoi struktury1982MoscowIPM(Application of Variation Approach for Calculating Gas-Dynamic Flows on Variable-Structure Grids) LambGGidrodinamika1947MoscowGostekhizdat(Hydrodynamics) ShavykinAASokolovaSAVashchenkoPSSuspension at hydroengineering works on the shelf: II. Assessing the impact on biota in evaluating damage to fish resourcesZashch. Okruzh. Sredy Neftegazov. Komplekse20113035 AA Shavykin (6505_CR6) 2011 BV Arkhipov (6505_CR1) 2010 LD Landau (6505_CR4) 1988 AA Samarskii (6505_CR5) 2003 G Lamb (6505_CR3) 1947 RA Volkova (6505_CR2) 1982 |
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| Snippet | A method is proposed for calculating water pollution characteristics. A correct definition and evaluation of those characteristics is shown to be possible only... |
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| SubjectTerms | Aquatic Pollution dynamic models Earth and Environmental Science Earth Sciences equations hydrodynamics Hydrogeology Hydrology/Water Resources Lagrange multiplier methodology Waste Water Technology Water Management Water pollution Water Pollution Control Water Quality and Protection: Environmental Aspects |
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| Title | Evaluating water pollution characteristics based on Lagrangian approach |
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