Abstract
This paper covers the model of oil products transport in view the evaporation of light, neutral and no-evaporating pseudofractions of oil slick, dissolution of oil slick and biodegradation. Approximation of diffusion-convection problem was performed on the basis of schemes of high-order of accuracy. Experimental software was designed for mathematical modelling of possible scenarios of development of ecosystems of shallow waters for oil spills on the example of the Azov-Black 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.
Highlights
The influence of oil pollution on the water is manifested in the : the deterioration of the physical properties of the water; the dissolution of toxic substances in water; the formation of oil surface film and sludge at the bottom of the reservoir, which decreased the oxygen in the water.Characteristic smell and taste appear at a concentration of oil and oil products in the water 0.5 mg/dm3, and naphthenic acids − 0.01 mg/dm3
The maximum performance of multiprocessor computer system (MCS) is equaled to 18.8 teraflops. 128 singletype of 16-core Blade-servers HP ProLiant BL685c were used as computational nodes, each of which has the four quad-core AMD Opteron processor 8356 of 2.3GHz and memory, equaled to 32 GB
The experimental software was developed on the basis of MCS, which is intended for mathematical modelling of possible scenarios of ecosystems of shallow waters on the example of the Azov-Black Sea basin
Summary
The influence of oil pollution on the water is manifested in the : the deterioration of the physical properties of the water (turbidity, change in color, taste, smell); the dissolution of toxic substances in water; the formation of oil surface film and sludge at the bottom of the reservoir, which decreased the oxygen in the water. Characteristic smell and taste appear at a concentration of oil and oil products in the water 0.5 mg/dm, and naphthenic acids − 0.01 mg/dm. When the oil film is equaled to 4.1 mm and the oil concentration in water is equaled to 17 mg/dm, the amount of dissolved oxygen is reduced by 40% per 20-25 days. Analysis of the numerical solution of the model problem of transport materials showed that time costs are reduced for the explicit scheme at the increasing of grid dimension. The proposed method was applied to solve three-dimensional hydrodynamic problems [4]. Flow fields, which are used to calculate the transport of oil products, have been calculated on the basis of this model. Schemes of high-order of accuracy are used in solving the problem of oil products transport. It should be noted that in solution the problem of diffusion model was able to increase the accuracy in 66.7 times, and for convection-diffusion problems – in 48.7 times [5]
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