Optimal control of sustainable development in the biological rehabilitation of the Azov Sea

Nikitina, A. V.; Сухинов, А. И.; Ugolnitsky, G. A.; Усов, А. Б.; Chistyakov, A. E.; Puchkin, M. V.; Semenov, I. S.

doi:10.1134/s2070048217010112

Cited by 55 publications

(20 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Then, each processor determines the maximum element in module of the residual vector and transmits its value to all remaining calculators. Now receiving the maximum element on each processor is enough to calculate the uniform norm of the residual vector [20]. Fig.…”

Section: № 1 / 2017 88mentioning

confidence: 99%

Mathematical modeling of eutrophication processes in Azov Sea on supercomputers

Nikitina¹,

Semenyakina²

2017

CMIT

Self Cite

View full text Add to dashboard Cite

Introduction. The paper is devoted to the research of effective numerical methods for solving eutrophication problem of shallow waters taking into account water environment, spatiallynonuniform distribution of temperature and salinity, microturbulent diffusion, gravitational sedimentation, and spreading of biogenic pollution, oxygen, phyto-and zooplankton, etc. The simulation objects are shallow waters -the Azov Sea and Taganrog Bay. Materials and Methods. The mathematical model of eutrophication of shallow waters was developed. Parallel implementation was performed for computationally laborious convection-diffusion problems, taking into account the architecture and parameters of supercomputers based on the decomposition methods of grid domains. We determined that the maximum acceleration was 43 times on 128 computational nodes. We developed two algorithms including the algorithm based on the kmeans method for data distribution between processors in parallel implementation. Due to the using these algorithms, the efficiency of algorithm for solving the problem is increased on 15% compared to the algorithm of the standard partition of computational domain. Results. New mathematical models and software complex were developed for mathematical modeling of eutrophication processes in shallow waters. The concentrations of pollutants and plankton calculated for different wind situations were taken into consideration, if the relative error did not exceed 30%. Due to expedition researches the primary verification of the model of ecosystem of the Azov Sea was performed. The problem of modeling and forecasting the state of water ecosystems of the Azov Sea in conditions of anthropogenic influence and comprehensive research of the unique water object was implemented. Because of the water object is shallow, it's more affected by anthropogenic influence. The software complex, combining mathematical models and databases, was designed. Using this complex we researched conditions which are contributed by the eutrophication processes in shallow waters. Discussion and Conclusions. Due to the solving the water ecology problem we can forecast different scenario of changing the water quality in shallow waters, and to investigate the mechanisms of formation of zones with low oxygen content.

show abstract

Section: № 1 / 2017 88mentioning

confidence: 99%

Mathematical modeling of eutrophication processes in Azov Sea on supercomputers

Nikitina¹,

Semenyakina²

2017

CMIT

Self Cite

View full text Add to dashboard Cite

show abstract

“…The three-dimensional mathematical model of surface aerodynamics is required to develop a model of transportation of oil vapor. In the modelling of oil spills it is also important to consider the influence of the dissolved oil to the nature and course of hydrobiological processes in the water [15,16]. Comparing the calculation results of the concentration of light oil products, which are given in Fig.…”

Section: Fig 1 Dynamics Of Crude Oil Destructionmentioning

confidence: 99%

Complex of parallel programs for modeling oil products transport in coastal systems

Semenyakina

Проценко

2017

MATEC Web Conf.

View full text Add to dashboard Cite

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.

show abstract

“…Taking into account the restrictions on tangential stresses at the bottom of the computational domain, the system of equations (1)- (3) takes the form [3][4][5]:…”

Section: Mathematical Model Of Sediment Transportmentioning

confidence: 99%

“…The equations of the process of sediment transport [1][2][3][4][5] can be written in the following form:…”

Section: Mathematical Model Of Sediment Transportmentioning

confidence: 99%

Mathematical modeling of wave processes and transport of bottom materials in coastal water areas taking into account coastal structures

Проценко

Sukhinova

2017

MATEC Web Conf.

View full text Add to dashboard Cite

Abstract. The necessity of numerical modeling of the mechanisms of formation of the field of suspension and sediment flow determines the urgency of the problem under study. The process of developing shallow coastal zones, with constructive transformation and changes in coastal reliefs, is becoming increasingly important. Assessment of the hydrodynamic impact on shore protection structures and coastal structures installed at the bottom of a shallow water body is an important task at present. With a constructive transformation of the reliefs, one should take into account the dynamics of the formation of the coast investigate the formation of the profile of the bottom in the coastal zone of the reservoir under the influence of wave processes. For determining the dynamics and trend of phenomena occurring in the coastal waters and predicting possible interventions in the ecosystem, the need to build mathematical models of the transport processes of matter in the coastal waters, taking into account the presence of coastal structures, is actualized.

show abstract

Optimal control of sustainable development in the biological rehabilitation of the Azov Sea

Cited by 55 publications

References 6 publications

Mathematical modeling of eutrophication processes in Azov Sea on supercomputers

Mathematical modeling of eutrophication processes in Azov Sea on supercomputers

Complex of parallel programs for modeling oil products transport in coastal systems

Mathematical modeling of wave processes and transport of bottom materials in coastal water areas taking into account coastal structures

Contact Info

Product

Resources

About