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A SIMPLIFIED APPROACH TO DESIGNING OF COMPARTMENTAL MODELS OF SPATIAL-TEMPORAL DYNAMICS AND MATTER CYCLING IN AQUATIC ECOSYSTEMS
Abstract
The progress achieved over the past half century in modeling of hydrophysical processes and numerical methods, as well as the current level of computer and information technologies, led to an increasing use of 3-D models for modeling aquatic ecological systems. Nevertheless, the problem of numerical solution of systems of equations describing coupled hydrophysical, hydrochemical and hydrobiological processes is highly time-consuming and difficult from a computational point of view. In addition to computational difficulties, the use of this kind of approach is associated with another limitation, connected with the need to specify a large number of external factors (input variables) and boundary conditions. Despite all the modern technical possibilities, the potentially high accuracy of calculations is limited by the possibilities of detailing the space-time resolution of the initial information. The paper presents an original approach to designing models of aquatic ecosystems describing jointly transport, diffusion, hydrochemical kinetics and trophodynamics based on the compartmental (box) representation of the three-dimensional convection-diffusion model, including terms describing biological kinetics, by using the implicit Eulerian scheme. Using, by analogy with the method of fractional steps, some intermediate time interval and approximating the kinetic terms, one can reduce the (m?n)- dimensionality problem to a m-sequence of n-dimensional problems and n-sequence of m-dimensional problems.
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