Evaluating water pollution characteristics based on Lagrangian approach

• Published in: Water resources Vol. 42; no. 1; pp. 63 - 69
• Main Authors: Arkhipov, B. V, Solbakov, V. V, Solov’ev, M. B, Shapochkin, D. A
• Format: Journal Article
• Language: English
• Published: Moscow Springer-Verlag 01.01.2015; Pleiades Publishing; Springer Nature B.V
• Subjects: 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; hydrodynamic processes; Lagrangian approach; environmental impact assessment
• ISSN: 0097-8078; 1608-344X
• DOI: 10.1134/S0097807814060025

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.