Gleb Vodinchar

Gleb Vodinchar
Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS · Laboratory of Physical Processes Modeling

PhD

About

52
Publications
1,300
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108
Citations
Additional affiliations
March 2005 - February 2022
Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS
Position
  • Head of Lab
November 2018 - present
Kamchatka State Technical University
Position
  • Professor (Assistant)
June 2003 - June 2018
Kamchatka State University named after Vitus Bering
Position
  • Professor (Assistant)

Publications

Publications (52)
Chapter
The generation of the main geomagnetic field is ensured by the geodynamo mechanism, driven by convection in the liquid core of the Earth. Realizations of regimes arising in the geomagnetic field on the time scale \(\sim 10^9\) years can only be obtained using low-mode approximations to represent the fields of velocity, temperature and magnetic indu...
Chapter
The generation of planets and stars magnetic fields is usualy described using the hydromagnetic dynamo mechanism. Within the framework of the mean field theory, two types of generation arise—due to large-scale differential rotation of a celestial body (\(\omega \)-effect) and due to small-scale pulsations of velocity and magnetic field (\(\alpha \)...
Article
Full-text available
The paper discusses the computational technology for constructing one type of small-scale magnetohydrodynamic turbulence models – shell models. Any such model is a system of ordinary quadratic nonlinear differential equations with constant coefficients. Each phase variable is interpreted in absolute value as a measure of the intensity of one of the...
Chapter
Real cosmic dynamo-systems are complex oscillatory systems. They demonstrate complex dynamic regimes, including regular and chaotic inversions, bursts, and vacillations. Dynamic memory effects play an important role in these systems. In this paper, we study the hereditary oscillator, which can be considered as a simple model of a two-mode dynamo wi...
Chapter
The paper considers shell models of turbulence. These models make it possible to reproduce realistic distributions of spatial field spectra. Within the framework of the model, a system of quadratic nonlinear ordinary differential equations with parameters is formed. The work proposes a computing technology that allows automating the process of cons...
Article
Full-text available
Spectral models are often used in the study of geodynamo problems. Physical fields in these models are presented as stationary basic modes combinations with time-dependent amplitudes. To construct a model it is necessary to calculate the modes parameters, and to calculate the model coefficients (the Galerkin coefficients). These coefficients are in...
Article
Full-text available
We study some fractal properties of the hereditary αω-dynamo model in the two-mode approximation. The phase variables of the model describe the temporal dynamics of the toroidal and poloidal components of the magnetic field. The hereditary operator of the quenching the α-effect by field helicity in numerical simulation is determined using the Riema...
Book
Full-text available
Complex methods and results of studies of physical processes and their interactions in the system of near space and geospheres under conditions of increased variability of solar, cyclonic and seismic activity are presented. The results of long-term observations are summed up. Methods of system analysis have been developed. Models of nonlinear and r...
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Full-text available
The paper describes a technology for the automated compilation of equations for shell models of turbulence in the computer algebra system Maple. A general form of equations for the coefficients of nonlinear interactions is given, which will ensure that the required combination of quadratic invariants and power-law solutions is fulfilled in the mode...
Article
Full-text available
The problem of toroidal eigenmodes of free oscillations of a viscous fluid spherical shell is solved under mixed boundary conditions. These conditions are a combination of free surface conditions and solid boundary conditions. Such an artificial combination is used sometimes in the numerical simulation of geodynamo problem. The scheme for calculati...
Article
Full-text available
Cosmic magnetic fields possess complex time dynamics. They are characterized by abrupt polarity changes (reversals), fluctuations of fixed polarity, bursts and attenuations. These dynamic conditions can replace each other, including both regular and chaotic components. Memory in dynamo systems manifests itself in a feedback mechanism when a strong...
Article
Full-text available
The paper describes the developed by authors technique for construct-ing complex shell models of turbulence. The compilation of the equa-tions of this model and its exactly solution are implemented using by computer algebra system. The technique allows one to vary the sizes of nonlocality of nonlinear interaction in the space of scales, expressions...
Article
Full-text available
The hereditary two-mode model of the aw-dynamo proposed earlier by the author is studied from the point of view of the theory of oscillators. It is shown that this approach allows one to perform a qualitative analysis of the model’s behavior and predict possible dynamic regimes without numerical simulation. Examples of comparison of the results of...
Article
Full-text available
The technique for automatic constructing of shell models of turbulence has been developed. The compilation of a model equations and its exactly solution is implemented using computer algebra (symbolic calculation) systems. The technique allows one to vary the scaling nonlocality of nonlinear interaction, form of expressions for conservation laws in...
Article
Full-text available
The low-moded stochastic model of kinematic geodynamo is studied. The model is based on the indirect data about the large-scale structure of convection. The intensities of large-scale and turbulent field generators are affected by pulsed multiplicative noises. These random pulses are interpreted as the formation and destruction of coherent structur...
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The method for calculating the eigenmodes of free damped oscillations of the geomagnetic field in the Earth’s core using symbolic computations is described.
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The one of the known applications of the classical Lorenz system is an axisymmetric αω -dynamo with a dynamical quenching of the α -effect by the helicity. In this paper we consider generalizations of the Lorentz system, which are the models of α ² - and α ² ω -dynamo. The cases of finite and infinite memory in the quenching functional are consider...
Article
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The compilation of spectral models of geophysical fluid dynamics and hydromagnetic dynamo involves the calculation of a large number of volume integrals from complex combinations of basis fields. In this paper we describe the automation of this computation with the help of systems of symbolic computations.
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Described low-dimensional model, that implements the various known regimes of cosmic dynamo systems, in particular, the various regimes of reversals. The source of regular reversals in the model is its internal dynamics. Violation of this cyclicality, failures in the a dynamo, the occurrence regime irregularity reversals caused by chaotic fluctuati...
Article
We consider solutions of Mathematical Olympiad «Vitus Bering – 2016» for high school students. It was held at Kamchatka State University in April 2016.
Conference Paper
We describe a large-scale Geodynamo model based on indirect data of inhomogeneities in the density of the Earth's core. The convection pattern is associated with a spherical harmonic Y-4(2) which defines the basic poloidal component of velocity. Coriolis drift of this mode determines the toroidal component of velocity. Thus, six convective cells ar...
Article
We describe a large-scale geodynamo model based on hypothesis about 6-jet convection in the Earth’s core. This hypothesis suggests indirect data of inhomogeneities in the density of the Earth’s core. The convection pattern is associated with a spherical harmonic Y24 which defines the basic poloidal component of velocity. The model takes into accoun...
Article
The whistlers pattern recognition algorithm in the spectrogram of VLF-radiation and algorithm of the filtering of pulse signals in the spectrograms are proposed.
Article
Full-text available
One approximation of magnetohydrodynamics equations, which describe the cosmic object’s magnetic field, is considered. The analytic properties of a nonlinear system are investigated by Painleve? test. Values of the coefficients in a simplified magnetohydrodynamics system are calculated for the necessary condition of Painleve? property.
Article
Full-text available
We describe the large-scale model geodynamo, which based on indirect data of inhomogeneities in the density of the Earth’s core. Convection structure is associated with spherical harmonic Y42, which defines the basic poloidal component of velocity. Coriolis drift of this mode determines the toroidal component of velocity. Thus, 6 convective cells a...
Article
Full-text available
We consider solutions of Mathematical Olympiad «Vitus Bering – 2015» for high school students. It was held at Kamchatka State University in November 2015.
Article
Full-text available
Inversion of the magnetic field in a model of large-scale αΩ-dynamo with α-effect with stochastic memory is under investigation. The model allows us to reproduce the main features of the geomagnetic field reversals. It was established that the polarity intervals in the model are distributed according to the power law. Model magnetic polarity timesc...
Article
In the paper investigates the question of the possibility of a reversal in the framework of low-mode model, ?? -dinamo. The parameters of the MHD system in which the possible reversal of the magnetic field in the relative constancy of the velocity field are defined. There are results of numerical solution of the assumption of various type of ? -eff...
Article
Data on March 2013 were used to Verify the theory of whistler propagation along a magnetic field tube, from which the recorded whistlers are expected to be associated with lightning discharges in Kamchatka and in magnetically conjugate point in Australia. When comparing the whistler rates recorded at AWDANet station in Kamchatka with lightning disc...
Article
Full-text available
Inversion of the magnetic field in a large-scale model of αΩ-dynamo with nonlocal α-effect is under the investigation. The model allows us to reproduce the main features of the geomagnetic field reversals. It was established that the polarity intervals in the model are distributed according to the power law. Model magnetic polarity time scale is fr...
Article
The paper investigates possible sources of Kamchatka whistlers in March and September 2013. Applying the data from WWLLN and AWDANet worldwide networks, it is shown that statistically significant sources may be located in the global lightning centers.
Article
In this paper we investigate the question of the possibility of inversions within the low-mode dynamo model. The conditions under which the possibility of more frequent reversal of the magnetic field in comparison with inversions in the velocity field of a viscous conducting magnetized fluid.
Article
In this paper we investigate the question of the possibility of inversions within the low-mode dynamo model. The conditions under which the possibility of more frequent reversal of the magnetic field in comparison with inversions in the velocity field of a viscous conducting magnetized fluid.
Article
We study the possible sources of Kamchatka whistlers in March and September 2013. Using these global networks WWLLN and AWDANet and methods of correlation anaziz shown that statistically significant sources are located in the global thunderstorm activity.
Article
Full-text available
The sttatistical relationship between whistlers in Kamchatka and thunderstorm activity was studied. Possibility of impact HAARP on stream of whistlers analyzed.
Article
Full-text available
Considered a model of large-scale magneto-convection in a roteting spherical shell. Velocity expressed of the one of the modes of free oscillation of a viscous conduction fluid in the shell. The stationary modes of convection were found. An ability of the dynamo was approved in this model.
Article
Full-text available
The properties of the algorithm estimates of parameter of harmonic intensity for nonstationary Poisson process. The computational stability of the algorithm is proved
Article
Доказывается ортогональность собственных полей спектральной задачи rot4S+?rotS = 0 в пространстве полоидальных полей в сферической оболочке
Article
Full-text available
The means of high precision calculation are considered, their comparative analysis is fulfilled, application of the most efficient of them for the geodynamo task is regardered.
Article
Full-text available
The system of own solenoidal fields of operator Laplace which can be used for decomposition of a geomagnetic field in a kernel of the Earth is described. Boundary conditions provide continuous transition of a field in a referential geomagnetic field

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