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Computation of aqueous environment contamination parameters on the basis of the Lagrangian approach. (English) Zbl 1429.76135

Summary: We present a mathematical model for a quantitative estimation of the damage to aquatic life resulting from a pollutant discharge into aqueous environment. With the use of the Lagrangian description of fluid motion, we introduce a set of hydrophysical parameters on the basis of which hydrobiologists can estimate the damage. The computation of these parameters is illustrated by the example of a problem of a pollutant spreading in a canal. The problem is solved numerically on a deformable Lagrangian grid. To ensure computational stability, a special grid reconstruction procedure with the subsequent interpolation of the parameters computed is used. An original interpolation technique is proposed which ensures the preservation of the most important hydrophysical quantities.

MSC:

76Z99 Biological fluid mechanics
91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)
92D40 Ecology
76R50 Diffusion
76M12 Finite volume methods applied to problems in fluid mechanics
92C99 Physiological, cellular and medical topics
Full Text: DOI

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.