Complex of models, explicit regularized schemes of high–order of accuracy and applications for predictive modeling of aftermath of emergency oil spill

Abstract

The paper covers the dolloped model of oil products transport in view the evaporation of light, neutral and noevaporating pseudofractal of oil spot, dissolution of oil spot and bio-degradation. B.N. Chetverushkin has been proposed the idea of use of regularized schemes to increase the safety factor of explicit schemes. Approximation of diffusion-convection problem was performed on the basis of schemes of high-order of accuracy. Experimental software was developed for mathematical modeling of possible scenarios of development of ecosystems of shallow waters for oil spills on the example of the AzovBlack Sea basin, based on multiprocessor computer systems. Decomposition methods of grid domains have been used for computationally laborious diffusion-convection tasks in parallel implementation. Maximum acceleration was equal to 228.36 times on 512 computational nodes.