Name
Trunev Aleksandr Petrovich
Scholastic degree
•
Academic rank
—
Honorary rank
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Organization, job position
A&E Trounev IT Consulting, Toronto, Canada
Web site url
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Articles count: 125
In this work, we consider two types of vortex
currents-cyclones and anticyclones in the Northern
and Southern Hemispheres. Numerical modeling of
turbulent flows of these types uses the model of the
planetary boundary layer developed by the author.
The purpose of the study is to test hypotheses about
the influence of the Coriolis force on the formation of
cyclones and anticyclones in the northern and
southern latitudes. The first hypothesis on the
direction of circulation in cyclones was verified in the
case of axisymmetric radially converging and
vertically rising turbulent flows with a natural
Coriolis parameter and viscosity. From the obtained
data of numerical experiments, it follows that the
current in the northern latitudes circulates in a counter
clockwise direction, and in the south - in a clockwise
direction, in full accordance with the observational
data. Thus, we have shown that a cyclonic flow is
formed in a turbulent radially converging flow under
the influence of the Coriolis force. The second
hypothesis on the formation of anticyclones was
verified in the case of radially divergent and vertically
descending turbulent flows. Because of numerical
experiments, it was established that in this case, the
current in the northern latitudes circulates clockwise,
and in the south - in a counter clockwise direction,
which corresponds to observations for anticyclones.
To test the effect of the cyclone (anticyclone) center
velocity on circulation, a nonstationary 3D model of
turbulent flow was developed. Within the framework
of this model, flows in cyclones and anticyclones
moving at a constant speed, as well as in shear flow,
are studied. Some types of loop protuberances on the
Sun are explained by the presence of a vortex
turbulent flow starting in the bowels of the Sun and
encompassing the chromosphere
We consider numerical solutions of the Navier-Stokes
equations describing laminar and turbulent flows in
channels of various geometries and in the cavity at
large Reynolds numbers. An original numerical
algorithm for integrating a system of nonlinear partial
differential equations is developed, based on the
convergence of the sequence of solutions of the
Dirichlet problem. Based on this algorithm, a
numerical model is created for the fusion of two
laminar flows in a T-shaped channel. A new
mechanism of meandering is established, which
consists in the fact that when the two streams merge,
a jet is formed containing the zones of return flow.
Vortex motion in a rectangular cavity is studied. It is
established that the numerical solution of the problem
with discontinuous boundary conditions loses
stability at Reynolds number Re> 2340. The
trajectories of passive impurity particles in a
cylindrical cavity are investigated. An explanation of
the behavior of tea leaves in a cup of tea in the
formation of a toroidal vortex because of circular
stirring is confirmed, which is confirms the wellknown
hypothesis of Einstein. A numerical model of
flow in an open channel with a bottom incline in a
rotating system is developed. It is shown that in both
laminar and turbulent flow under certain conditions a
secondary vortex flow arises in the channel due to the
Coriolis force, which explains the well-known Baer
law and confirms the Einstein hypothesis
A model is developed that describes the formation of the
plasma channel and the trace when moving in a
conducting medium of various objects that are sources of
plasma - ball lightning, plasmoids, charged particles, and
so on. To describe the contribution of conduction
currents, we modified the standard electrostatic equation
considering the vortex component of the electric field.
As a result of this generalization, a system of parabolictype
nonlinear equations is formulated that describes the
formation of the plasma channel and the track behind the
moving object. In this formulation, the problem of the
formation of the lightning channel in weak electric
fields, characteristic for atmospheric discharges of cloudearth,
is solved. Numerical simulation of the motion of
plasma sources in a region with a ratio of the sizes 1/100,
1/200 makes it possible to find the shape of the channel
and the total length of the track, as well as the branching
regimes. It was previously established that there are three
streamer branching mechanisms. The first mechanism is
associated with the instability of the front, which leads to
the separation of the head of the streamer into two parts.
The second mechanism is related to the instability of the
streamer in the base region, which leads to the branching
of the streamer with the formation of a large number of
lateral streamers closing the main channel of the
streamer to the cathode. The third branching mechanism,
observed in experiments, is associated with the closure
of the space charge to the anode through the streamer
system. These branching mechanisms are also revealed
when the leader is spread. Numerical experiments have
revealed a new channel branching mechanism and a
trace behind a moving plasma object, caused by the
conductivity of the medium
In this work, a model is developed that describes the
formation of a stepped lightning leader in a conducting
medium. To describe the contribution of the conductivity
currents, we modified the standard electrostatic equation
taking into account the vortex component of the electric
field. As a result of this generalization, a system of
parabolic-type nonlinear equations is formulated that
describes the formation of streamers and the lightning
channel. Numerical simulation of the propagation of
ionization waves in a region with a ratio of 1/100, 1/200
allows us to identify two types of stepped streamers in
the form of waves of compression and rarefaction,
respectively. It was previously established that there are
three streamer branching mechanisms. The first
mechanism is related to the instability of the front, which
leads to the separation of the head of the streamer into
two parts. The second mechanism is associated with the
instability of the streamer in the base region, which leads
to the branching of the streamer with the formation of a
large number of lateral streamers closing the main
channel of the streamer to the cathode. In numerical
experiments, the third branching mechanism observed in
experiments connected with closing the space charge to
the anode through the streamer system was observed.
These branching mechanisms are also revealed when the
leader is propagated. The obtained results, as well as the
data of numerical experiments confirm the hypothesis of
the universality of the minimal model of the streamer, as
well as its expansion in the form proposed by the author.
Known phenomena of nature associated with the
electrical discharge - streamer, plasmoid, ball lightning
and stepped leader can be described within the
framework of the minimal model
In this work, a model is developed to describe the
formation of streamers, plasmoid, and ball lightning in a
conducting medium. To describe the contribution of the
conductivity currents, we modified the standard
electrostatic equation taking into account the vortex
component of the electric field. As a result of this
generalization, a system of parabolic-type nonlinear
equations is formulated that describes the formation of
streamers, plasma long-lived formations and ball
lightning. As is known, in laboratories it is possible to
create a plasmoid with a lifetime of 300-500 ms and a
diameter of 10-20 cm, which is interpreted as a ball
lightning. With high-speed photography, a complex
structure is detected, consisting of a plasmoid and
surrounding streamers. Within the framework of the
proposed model, problems are posed about the formation
of a plasmoid and the propagation of streamers in an
external electric field. In this model, the plasmoid is
considered to be a long-lived streamer. The range of
parameters in which a plasmoid of spherical shape is
formed is indicated. It is established that there are three
streamer branching mechanisms. The first mechanism is
related to the instability of the front, which leads to the
separation of the head of the streamer into two parts. The
second mechanism is associated with the instability of
the streamer in the base region, which leads to the
branching of the streamer with the formation of a large
number of lateral streamers closing the main channel of
the streamer to the cathode. In numerical experiments,
the third branching mechanism observed in experiments
connected with the branching of the plasmoid in the
cathode region with the closure of the space charge to
the anode through the streamer system was observed.
The results of modeling the evolution of globular
clusters in a scale of hundreds of milliseconds are given.
Plasma exchange recharge modes leading to the
formation of a positive or negative charge of the system
are found
In this work, a model is developed that describes the
formation of a plasmoid and streamers in a conducting
medium. To describe the contribution of the conductivity
currents, we modified the standard electrostatic equation
taking into account the vortex component of the electric
field. As a result of this generalization, the streamer
model is formulated in the form of a system of parabolictype
nonlinear equations. As is known, in laboratories it
is possible to create a plasmoid with a lifetime of 300-
500 ms and a diameter of 10-20 cm, which is interpreted
as a ball lightning. With high-speed photography, a
complex structure is detected, consisting of a plasmoid
and surrounding streamers. Within the framework of the
proposed model, problems are posed about the formation
of a plasmoid and the propagation of streamers in an
external electric field. In this model, the plasmoid is
considered to be a long-lived streamer. The range of
parameters in which a plasmoid of spherical shape is
formed is indicated. It is established that there are three
streamer branching mechanisms. The first mechanism is
related to the instability of the front, which leads to the
separation of the head of the streamer into two parts. The
second mechanism is associated with the instability of
the streamer in the base region, which leads to the
branching of the streamer with the formation of a large
number of lateral streamers closing the main channel of
the streamer to the cathode. In numerical experiments,
the third branching mechanism observed in experiments
connected with the branching of the plasmoid in the
cathode region with the closure of the space charge to
the anode through the streamer system was observed.
The similarity of ball lightning and plasmoid is
discussed. If this similarity is confirmed, then the
number of theoretical hypotheses concerning the nature
of ball lightning, currently more than 200, can be
drastically reduced to one described in this article
In this work, we develop a model describing the
propagation and branching of a streamer in a conducting
medium in external electric field. To describe the
contribution of the conductivity currents, we modified
the standard electrostatic equation taking into account
the vortex component of the electric field. As a result of
this generalization, the streamer model is formulated in
the form of nonlinear equations of parabolic type. In the
framework of the proposed model, the problem of the
propagation of a streamer in the form of a traveling wave
is considered, which leads to the emergence of SaffmanTaylor
streamers. For streamers of this type, the
branching problem is formulated, which has a unique
solution. The dependence of the branch point on the
parameters of the problem-the speed of the streamer, the
diffusion coefficient of the electrons and the strength of
the external electric field, is found. The branching
mechanism of the streamer head by dividing it into two
parts has been well studied and several alternative
models have been formulated for its description. The
novelty of the problem in question is that the streamer
splits into two three-dimensional channels that are
symmetric with respect to the given plane. Numerical
experiments also revealed the mechanism of branching
of the streamer in the cathode region, connected with the
separation of the main channel into several lateral
branches. It is noted, that in nature both branching
mechanisms are realized, whereas in theory the
instability of the surface of the streamer head is
investigated
In the present article, we investigate the metric of the
crystal space in the general theory of relativity and in the
Yang-Mills theory. It is shown that the presence of a
lattice of gravitational ether has observable macroscopic
consequences. Earlier, the influence of the gravity of the
celestial bodies of the solar system on the electrical
conductivity, inductance, the rate of radioactive decay of
atomic nuclei, on seismic activity, the magnetic field and
the motion of the pole of our planet, and on the rate of
biochemical reactions was established. In all cases, a
similar behavior of the physicochemical characteristics
of materials and processes is observed, depending on the
universal parameters characterizing the seasonal
variations of the gravitational field of the solar system.
The relationship between lattice parameters and the
properties of materials, elements, atomic nuclei, and
elementary particles is discussed. Possible metrics of the
crystal space are constructed: a metric that depends on
the Weierstrass function, derived in the Yang-Mills
theory and analogous metrics found in Einstein's theory.
Such metrics, which have a central symmetry, can be
used to justify the structure of elementary particles, the
properties of atomic nuclei, atoms and matter. Periodic
metrics are constructed that admit an electromagnetic
field, as well as metrics associated with the assumed
structure of the crystal space. These metrics are of
particular interest, since the properties of the substance
are related to the metric parameters. We proposed the
model of electron beam as a streamer of preons
Atmospheric currents on Jupiter and Saturn are
characterized by turbulence and complex vortex
structure, which is caused by a large angular speed of
the gas giants. In this paper we consider two types of
eddy currents - for hexagonal in the northern polar
region of Saturn and the Great Red Spot in the
equatorial region of Jupiter. For the numerical
simulation of turbulent flows of this type the model of
the planetary boundary layer was developed by the
author. In both cases, the main strengthening
mechanism is associated with geostrophic flow of
small amplitude interacting with the planetary
turbulent boundary layer. For hexagonal Saturn with
its characteristic length scales and speed - 120 m / s
and 14,500 km, respectively, there are more than 35
years data of observation. We have found that a small
axial symmetry violation geostrophic flow in the
shear causes the development of a hexagonal pattern
in a turbulent boundary layer. In addition, under the
influence of the Coriolis force and the eddy viscosity
gradient in the turbulent boundary layer there is the
jet formed, pressed against the lower edge of the
layer. Great Red Spot on Jupiter has the characteristic
velocity and length scales - 150 m / s, 14,000 km
from north to south and 24000-40000 km from west
to east, there are already more than 350 years data. It
identified another mechanism of formation of vortex
flow, coupled with the strengthening of small
amplitude zonal flow in a turbulent boundary layer
with the eddy viscosity gradient and the volume
turbulent viscosity on a rotating planet. Both
mechanisms are confirmed by numerical calculations
of non-stationary planetary boundary
layer
As we know, currently, around the north pole of Saturn there is a large-scale hexagonal flow, with characteristic scales of length and speed - 120 m / s and 14,500 km respectively. This trend observed for more than 35 years, is the subject of many experimental and theoretical studies. In this study, we propose a model and discuss the numerical solutions of the equations describing turbulent flow in the planetary boundary layer around the north pole of Saturn. It has been shown that a small violation of the axial symmetry in geostrophic shear leads to the development of hexagonal patterns in a turbulent boundary layer. In addition, under the influence of Coriolis forces and turbulent eddy viscosity gradient in a turbulent boundary layer formed jet pressed to the bottom edge of the layer. These results are used to simulate the observed hexagonal flow around the north pole of Saturn. It is assumed that the small amplitude geostrophic flow is described by a sum of zero and the sixth current harmonic functions, which leads to the excitation current at the upper boundary of the planetary boundary layer. It is found that such excitation enhanced in the boundary layer and reaches a maximum in the jet pressed to the bottom border. This jet, circulating on the hexagon coincides with the region of origin of the cloud cover, which is registered in the experiments. This excitation mechanism hexagonal flow around the north pole of Saturn is confirmed by numerical calculations of three-dimensional non-stationary planetary boundary layer