A5020762064- Oceanographic and Atmospheric Processes
- Aquatic and Environmental Studies
- Arctic and Antarctic ice dynamics
- Meteorological Phenomena and Simulations
- Marine and environmental studies
- Geophysics and Gravity Measurements
- Numerical methods in inverse problems
- Reservoir Engineering and Simulation Methods
- Advanced Mathematical Modeling in Engineering
- Oil Spill Detection and Mitigation
- Food Industry and Aquatic Biology
- Ocean Waves and Remote Sensing
- Water Resources and Management
- Geological Studies and Exploration
- Advanced Computational Techniques in Science and Engineering
- Underwater Acoustics Research
- Differential Equations and Numerical Methods
Russian Academy of Sciences
2016-2022
Institute of Numerical Mathematics
2016-2022
Lomonosov Moscow State University
2019
Moscow Institute of Physics and Technology
2016
Abstract Some inverse problems related to mathematical modelling of hydrophysical fields in water areas (seas and oceans) under the presence ‘liquid’ (open) boundaries are studied solved numerically paper. Numerical solution algorithms for these based on procedures variational data assimilation.
Purpose.In order to simulate the sea hydrothermodynamics, problem of variational assimilation surface temperature data is solved.The permits adjust numerical model calculations measurement obtained in environment under study.Methods and Results.The mathematical hydrothermodynamics Black Azov seas, developed at Institute Numerical Mathematics RAS written sigma coordinate system, considered.The distinctive feature consists applying splitting method physical processes spatial coordinates that...
Abstract A series of problems related to the class inverse ocean hydrothermodynamics and variational data assimilation are formulated in present paper. We propose methods for solving studied here results numerical experiments.
Abstract The problem of simulation physical processes in water areas with ‘liquid’ boundaries is well known geophysical hydrodynamics. In this paper we consider a heat and salinity propagation as an example approaches solving such problems consisting application methods variational assimilation observation data. Using techniques study solution inverse optimal control problems, propose iterative algorithm, obtain conditions for existence the solution, unique dense solvability problem,...
One of the modern fields in mathematical modelling water areas is developing hybrid coastal ocean models based on domain decomposition. In a problem to be solved setting open boundary conditions. methods dealing with boundaries variational data assimilation. The purpose this work apply decomposition method assimilation problem. solve restoring functions at liquid for system linearized shallow equations studied. determining additional unknowns considered as an inverse and using well-known...
В настоящей работе приведены результаты численного решения задачи вариационной ассимиляции данных об уровне на жидкой (открытой) части границы в модели гидротермодинамики Балтийского моря.Под жидкими границами акватории подразумеваются раздела морей и океанов, а также проходящие по проливам, устьям рек т. д.Задание граничных условий жидких границах является важной проблемой современной геофизики.Одним из существующих методов, которые можно применить для учёта границ моделях, использование...
The results of the development Informational Computational System (ICS) "INM RAS - Baltic Sea" are presented. includes numerical model Sea hydrothermodynamics, oil spill describing propagation a slick at sea surface with an assessment risk pollution coastal areas and optimal ship route model. ICS is based on INMOM hydrothermodynamics data assimilation procedures. It possible to calculate main hydrodynamic parameters (temperature, salinity, velocities, level) using user-friendly interface...
Abstract This work is aimed at using the marine data of Shared Use Centre (SUC) “IKI-Monitoring” in variational assimilation procedures Informational Computational System (ICS) “INM RAS - Black Sea”. SUC “IKI Monitoring” a tool for obtaining remote sensing observations on Earth state. In paper observation information given, processing are described, algorithms received and several specific features numerical model used presented. Results two sets presented discussed. Numerical experiments...
In this paper the problem of mathematical modeling water areas with ‘liquid’ boundaries is considered. The model Baltic Sea hydrodynamics, developed in Institute Numerical Mathematics RAS, used. To retrieve unknown functions boundary conditions variational data assimilation method simplify numerical solution problem, domain decomposition method, based on theory optimal control, Methods and are considered heat transfer problem. results experiments present
Marine pollution is one of the most serious environmental problems nowadays. Identification sources contaminants among main objectives researchers. In such pollutants are sometimes considered as passive tracers. this paper, a problem detecting and localization tracer boundary in an open water area considered. A mathematical model sea surface spread based on system linear unsteady convection-diffusion-reaction equations used. The inverse restoring domain formulated under consideration that...
2 Московский государственный университет имени М. В
The problems of modeling hydrothermodynamics particular sea and coastal areas are current interest, since the results this often used in many applications. One methods allowing to take into account open boundaries bring simulation closer real data is variational assimilation observational data. In paper following approach considered: it supposed that there at a certain moment time; problem considered as an inverse problem, which functions fluxes across boundary treated additional unknowns....