Computation of Aqueous Environment Contamination Parameters on the Basis of the Lagrangian Approach

Authors


Boris Arkhipov, Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS, Moscow, Russia; e-mail: arhip@ccas.ru

Abstract

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.

Ancillary