Mathematical modeling of hydrophysical processes for water with complex bottom geometry

Abstract

Abstract The paper covers the development and research of computational structure for mathematical modelling of hydrobiological processes for water with complex bottom geometry, based on the modern information technologies and computational methods. The models used in modelling take into account following: microturbulent diffusion; gravitational settling of pollutants; plankton populations nonlinear interaction; the salinity impact, temperature. The scheme with weights was proposed for discretization of the developed model, that allowed significantly reduce the error and the computational time. Practical significance of the work is that the proposed model was software implemented; the limits and prospects of its use were defined. The experimental software was designed on the basis of a graphics accelerator for mathematical modelling of possible development scenarios of the waters with complex bottom geometry, taking into account the environment influence. Parallel implementation was performed using the decomposition methods for computationally labours diffusion-convection problems taking into account the CUDA architecture characteristics.