Author name code: gadun ADS astronomy entries on 2022-09-14 author:"Gadun, A." ------------------------------------------------------------------------ Title: Fourier analysis of Fe I lines in the spectra of the Sun, {\alpha} Centauri A, Procyon, Arcturus, and Canopus Authors: Sheminova, V. A.; Gadun, A. S. Bibcode: 2010arXiv1004.3286S Altcode: We used spectral observations of Fe I line profiles with a 200 000 resolution to determine micro and macroturbulent velocities in the atmospheres of the Sun as a star, {\alpha} Cen A, Procyon ({\alpha} CMi), Arcturus ({\alpha} Boo), and Canopus ({\alpha} Car). Isotropic microturturbulent velocities (V_mi) and radial-tangential macroturbulent velocities (V_ma,RT) were found to be a quite suitable approximation to the velocity field in the atmospheres of all stars studied except Canopus. The average velocities V_mi and V_ma,RT are 0.8 +/- 0.1 and 2.6 +/- 0.3 km/s for the Sun as a star, 0.8 +/- 0.2 and 2.9 +/- 0.4 km/s for {\alpha} Cen A, 0.8 +/- 0.3 and 5.9 +/- 0.2 km/s for Procyon, 1.0 +/- 0.2 and 4.6 +/- 0.3 km/s for Arcturus. The velocity field in the atmosphere of Canopus can be described by an anisotropic radial-tangential distribution of microturbulence with V_mi,RT = 2.1 km/s and anisotropic distribution of macroturbulence with V_ma,rad = 17 +/- 2 km/s and V_ma,tan = 1.3 +/- 1.0 km/s. From Fourier analysis of broadening and shapes of three spectral lines of Fe I, we have derived the rotation velocity V_e sini = 3.5 +/- 0.2 km/s for Canopus. Title: Convective shifts of iron lines in the solar photosphere Authors: Sheminova, V. A.; Gadun, A. S. Bibcode: 2002KFNT...18...18S Altcode: 2010arXiv1004.3438S The influence of a convective structure of the solar photosphere on the shifts of spectral iron lines was studied. Based on the 2-D time-dependent HD solar model atmosphere, we synthesized the line profiles in the visual and infrared spectral ranges. The dependence of the lines shifts on excitation potential, wavelength, and line strength was analyzed in combination with the depression contribution functions. The magnitude of line shifts was found to depend on the difference between the contributions from central parts of granules and from intergranular lanes. Deep in the photosphere the central areas with upflows give the main contribution in the absorption of spatially unresolved weak and moderate lines. The contribution from intergranular lanes is small for these lines. In the upper solar photosphere layers the convective overshooting region is located, and the physical conditions drastically change there. As a result, the line depression contribution from intergranular lanes with downflows grows significantly, while the contributions from the central areas of granules become smaller. This is the reason why blue line shifts decrease and become red, in particular for the strong photospheric lines, which are completely formed in the convective overshootung region. The convective blueshifts observed in infrared lines are smaller than in the visual spectral range because the effective absorption layers are located higher in the photosphere and extend further into the convective overshooting region due to a greater opacity in the infrared range. We also calculated the effective formation depth of visual and infrared synthetic lines, and their dependence on main line parameters is illustrated. Title: A formation mechanism of magnetic elements in regions of mixed polarity Authors: Gadun, A. S.; Solanki, S. K.; Sheminova, V. A.; Ploner, S. R. O. Bibcode: 2001SoPh..203....1G Altcode: We present 2-D, fully compressible radiation-MHD simulations of the solar photospheric and subphotospheric layers that run for 2 hours of solar time starting from a magnetic configuration with mixed polarities. In the atmospheric layers the simulation reveals a correlation between field strength and inclination, with a nearly vertical strong-field magnetic component and a more horizontal weak-field component, in agreement with the observations. Our simulation also shows that magnetic flux is converted from one of these states to the other. In particular, magnetic flux sheets can also be formed when a new downflow lane starts due to granule fragmentation. The dynamics of the granulation and field-line reconnection are found to play a role in the initial stages of a magnetic element's formation. The simulation predicts that during or shortly after their formation magnetic elements could be associated with oppositely polarized flux at a small spatial scale. Title: Small-Scale Magnetic Elements in 2-D Nonstationary Magnetogranulation Authors: Gadun, A. S.; Solanki, S. K. Bibcode: 2001ASSL..259..295G Altcode: 2001dysu.conf..295G 2-D simulations of magnetogranulation provide evidence of a close connection between the magnetic field and nonstationary thermal convection. Fragmentation of large granules can lead to the formation of compact nearly vertical magnetic tubes from a weaker horizontal field. Conversely, the dissolution of granules can lead to a merging of magnetic elements and either to field cancellation (leading to the transformation of strong vertical field to its weaker horizontal state) or to the formation of broader and stronger magnetic structures. Title: The Formation of One-Lobed Stokes V Profiles in an Inhomogeneous Atmosphere Authors: Ploner, S. R. O.; Schussler, M.; Solanki, S. K.; Sheminova, V. A.; Gadun, A. S.; Frutiger, C. Bibcode: 2001ASPC..236..371P Altcode: 2001aspt.conf..371P We assess the diagnostic potential of the observed pathological Stokes V profiles that differ strongly from the customary, nearly antisymmetric two-lobed shape. In particular, we consider the formation of one-lobed Stokes V profiles using the results of an MHD simulation. We find that the majority of one-lobed profiles is produced in regions of weak horizontal field with significant cancellation caused by mixed polarity along the line of sight. A minority of one-lobed profiles originates close to strong magnetic field concentrations with strong gradients of velocity and magnetic field strength. Title: An Example of Reconnection and Magnetic Flux Recycling near the Solar Surface Authors: Ploner, S. R. O.; Schüssler, M.; Solanki, S. K.; Gadun, A. S. Bibcode: 2001ASPC..236..363P Altcode: 2001aspt.conf..363P No abstract at ADS Title: Correlative relationships in an inhomogeneous solar atmosphere Authors: Gadun, A. S.; Hanslmeier, A.; Kučera, A.; Rybák, J.; Wöhl, H. Bibcode: 2000A&A...363..289G Altcode: We analyse the correlative relationships between various quantities derived from 2-D inhomogeneous and time-dependent model atmospheres and between selected simulated line parameters to compare them with height-dependent correlations derived from spectral observations. We detect three photospheric regions: thermal convection, overshooting convection and a transition layer. We also show that correlations found for the model data and those computed within simulated spectral observations are a good testing tool for line formation depths. As an example, we examine two criteria, providing heights of line core formation in LTE, and conclude that the approach which defines this quantity as geometrical height at line center optical depth τλ0 = 1 is likely more suitable for diagnostic purposes than the method based on depression contribution function. Title: Size-dependent properties of simulated 2-D solar granulation Authors: Gadun, A. S.; Hanslmeier, A.; Pikalov, K. N.; Ploner, S. R. O.; Puschmann, K. G.; Solanki, S. K. Bibcode: 2000A&AS..146..267G Altcode: Two time-dependent sets of two-dimensional hydrodynamic models of solar granulation have been analyzed to obtain dependence of simulated thermal convection on the horizontal size of the convection cells. The two sets of models treat thermal convection either as fully non-stationary, multiscale convection (granular convection is a surface phenomenon) or as quasi-steady-state convection cells (they treat granular convection as a collection of deep-formed cells). The following results were obtained: 1) quasi-steady convection cells can be divided into 3 groups according to their properties and evolution, namely small-scale (up to L ~ 900 km), intermediate-scale (1000-1500 km) and large-scale (larger 1500 km) convection cells. For the first group thermal damping due to radiative exchange of energy, mostly in the horizontal direction, is very important. Large-scale cells build up a pressure excess, which can lead to their total fragmentation. Similar processes also acts on the fully non-stationary convection. 2) The largest horizontal size of convection cells for which steady-state solutions can be obtained is about 1500 km. This corresponds to granules, i.e. the bright parts of the convection cells, with a diameter of about 1000 km. 3) In addition to the zone of high convective instability associated with the partial ionization of hydrogen, we identify another layer harboring important dynamic processes in steady-state models. Just below the hydrogen-ionization layer pressure fluctuations and the acoustic flux are reduced. Steady-state models with reflecting lateral boundaries even exhibit an inversion of pressure fluctuations there. 4) From observational point of view the surface convection differs from steady-state deep treatment of thermal convection in the dependence of vertical granular velocities on their sizes for small-scale inhomogeneous. However, they cannot be distinguished by the dependence of temperature or emergent intensity of brightness structures. 5) Both kinds of models demonstrate the inversion of density in subphotospheric layers. It is more pronounced in small-scale cells and inside hot upflows. 6) The brightness of simulated granules linearly increases with their size for small granules and is approximately constant or even decreases slightly for larger granules. For intergranular lanes the simulations predict a decrease of their brightness with increasing size. It falls very rapidly for narrow lanes and remains unchanged for broader lanes. 7) A quantitative comparison of the brightness properties of simulated granulation with real observations shows that the strong size-dependence of the properties of the smallest simulated granules is not accessible to current observations due to their limited spatial resolution. The observed size dependences result rather from spatial smoothing and the granule-finding algorithm. We do not exclude, however, an influence of the limitations of the 2-D treatment of thermal convection on the present results. Title: Evolution of Solar Magnetic Tubes from Observations of Stokes Parameters Authors: Sheminova, V. A.; Gadun, A. S. Bibcode: 2000ARep...44..701S Altcode: 2012arXiv1210.3495S Basic scenarios and mechanisms for the formation and decay of small-scale magnetic elements and their manifestation in synthesized Stokes profiles of the Fe I 15648.5 Å infrared line are considered in the context of two-dimensional modeling of nonstationary magnetogranulation on the Sun. The stage of convective collapse is characterized by large redshifts in the V profiles accompanied by complete Zeeman splitting of the I profiles. This is due to intense downward flows of material, which facilitates the concentration of longitudinal field with an amplitude of about several kG in the tube. The dissipation of strong magnetic structures is characterized by blueshifts in their profiles, which result from upward fluxes that decrease the magnetic field in the tube. Typical signatures during key stages in the evolution of compact magnetic elements should be detectable via observations with sufficiently high spatial and temporal resolution. Title: Is solar mesogranulation a surface phenomenon? Authors: Ploner, S. R. O.; Solanki, S. K.; Gadun, A. S. Bibcode: 2000A&A...356.1050P Altcode: Convection is the main form of energy transport in the subsurface layers of the sun and other cool stars. The imprint of cellular convection can be directly observed on the solar surface, with a hierarchy of four size scales. The smallest observed convection cells, called granules, have typical horizontal sizes of 1,000-2,000 km and have been successfully reproduced by numerical simulations \citep{spruit:97,stein:nordlund:98}. Cells at three larger scales are also detected \citep{leighton:etal:62,november:etal:81,beck:etal:98}, but these have so far not been amenable to numerical modelling, so that their formation scenarios remain untested. Here we present a numerical simulation which resolves both the granular and the next larger, mesogranular, scale. The mesogranules have horizontal extents of 5,000-10,000 km. Our 2D simulation reproduces key properties of both granules and mesogranules. In addition, our simulation demonstrates that the observed mesogranulation is driven close to the solar surface and therefore rules out the text-book explanation of mesogranulation as cellular convection driven by superadiabaticity in the deeper layer where neutral helium ionizes. By proxy, this result also casts doubt on the traditional explanation of supergranulation, even larger convection cells with diameters of 20,000-30,000 km, as being driven by the yet deeper second ionization of helium. Title: Fe II lines in the problem of the diagnostic of solar photospheric shocks Authors: Gadun, A. S.; Hanslmeier, A. Bibcode: 2000KFNT...16..130G Altcode: We propose to use Fe II lines observed near the solar limb for the detection of photospheric shocks at granule edges. Their theoretical spectral scans synthesized with 2-D models provide a more clear evidence for photospheric shocks as compared to spectral lines of neutral elements. Title: Correlative analysis of 2-D solar atmosphere Authors: Gadun, A. S.; Hanslmeier, A. Bibcode: 2000KFNT...16..121G Altcode: Correlations between various parameters of 2-D inhomogeneous time-dependent solar atmospheres are analyzed to be directly related to height-dependent correlations found on the basis of spectral simulations. We detect four photospheric regions with thermal and overshooting convection, transition zone, and fully oscillating layears. The correlations found for the model data and those computed within simulated spectral scans are a good testing tool for systems of spectral line heights if these correlations are analyzed in comparison. In particular, we examine two methods providing the heights of line core formation in LTE and show that the approach which defines this quantity as a geometrical height at the optical depth of line center τλ0 = 1 is more suitable for diagnostic purpose than the method based on depression contribution function. Title: Two-dimensional nonstationary magnetogranulation Authors: Gadun, A. S. Bibcode: 2000KFNT...16...99G Altcode: 2-D simulation of nonstationary magnetogranulation is analyzed in detail: mechanisms and scenarios leading to formation or cancellation of small-scale magnetic elements, regimes of their stability, size-dependent and field-dependent properties of the tubes formed, as well as brightness properties of simulated magnetogranulation to be compared with the corresponding modeling of non-magnetic granulation. It is noted that magnetic field stabilizes the thermal convection -- shearing instability decreases, simulated granules become smaller. On the other hand, thermal convective flows directly influence the evolution of the small-scale magnetic field. This simulation confirms Vankatakrishnan's conclusion that the thermal mechanism which strengthens the intrinsic magnetic field of thin tubes is highly sensitive to their horizontal sizes. Two regimes of magnetoconvection were found. A change of regimes is detected for the ratio β between gas and magnetic pressure equal approximately to 2.0-2.5. Simulated tubes with a horizontal size of about 150 km are the most frequent contributors to the total area of magnetic tubes. Title: The evolution of solar granules deduced from 2-D simulations Authors: Ploner, S. R. O.; Solanki, S. K.; Gadun, A. S. Bibcode: 1999A&A...352..679P Altcode: The evolution of solar granules is investigated on the basis of two dimensional numerical solutions of the hydrodynamic equations describing a compressible, radiatively coupled and gravitationally stratified medium representative of the solar surface layers. The simulation covers 17 Mm on the solar surface and was run for over 5 h of solar time, hence allowing the evolution of over 400 granules to be followed. A statistical investigation of the temporal evolution of granules therefore becomes feasible. Two types of granules can be distinguished by their means of death: fragmenting and dissolving granules. Properties and average evolutionary histories of these two types of granules are considered. It is found that fragmenting granules are in general large at birth and expand further with time. It is confirmed that fragmentation into two (or more) parts is produced by buoyancy braking, which in turn is initiated by the stronger horizontal flows in larger granules. This last property, finally, is due to mass conservation. The expansion, however, is due to a pressure excess relative to neighbouring granules. The pressure excess is particularly marked if the neighbours are dissolving granules. In contrast, dissolving granules are born small and shrink before finally disappearing. The shrinkage is caused by their neighbours which generally posses excess gas pressure and larger horizontal flows. In summary, according our findings the fate of a granule is decided by its properties at birth and the company it keeps. Evidence is presented suggesting that the evolution of both types of granules is driven by events near the solar surface. Title: Two-dimensional simulation of solar granulation: description of technique and comparison with observations Authors: Gadun, A. S.; Solanki, S. K.; Johannesson, A. Bibcode: 1999A&A...350.1018G Altcode: The physical properties of the solar granulation are analyzed on the basis of 2-D fully compressible, radiation-hydrodynamic simulations and the synthetic spectra they produce. The basic physical and numerical treatment of the problem as well as tests of this treatment are described. The simulations are compared with spatially averaged spectral observations made near disk centre and high resolution spectra recorded near the solar limb. The present simulations reproduce a significant number of observed features, both at the centre of the solar disc and near the solar limb. Reproduced observables include the magnitude of continuum and line-core intensity fluctuations, line bisectors and correlations between different line parameters. Spatially averaged line shifts near disc centre, however, are not so well reproduced, as are individual correlations between line parameters near the solar limb. Possible causes of these discrepancies are discussed. The present models predict the existence of two photospheric layers at which the temperature fluctuations change sign. We point out a diagnostic of the hitherto undetected upper sign reversal based on high spatial resolution spectral observations of a sample of lines formed over a wide range of heights in the photosphere. Title: Formation of small-scale magnetic elements: surface mechanism Authors: Gadun, A. S.; Sheminova, V. A.; Solanki, S. K. Bibcode: 1999KFNT...15..387G Altcode: 2012arXiv1210.3499G; 1999KFNT...15e.387G The first results of a two-dimensional MHD simulation of solar magnetogranulation are given. The medium was treated as compressible, gravitationally stratified, radiatively coupled, partially ionized, and turbulent. The evolution of magnetogranulation was simulated in course of 2 hours of hydrodynamic (solar) time. A surface (magnetic plume-like) mechanism which forms thin magnetic elements was found to exist. This sort of field formation occurs due to fragmentation of large-scale granules. Active role of such mechanism shows that the magnetogranulation not only concentrates and intensifies the global magnetic flux at the boundaries of convective cells but also forms nearly vertical compact magnetic tubes by involving the weak horizontal field of the photosphere, which in general may be of local nature. Title: Spatial variations in the Li I λ671 nm resonance line in two-dimensional artificial granulation. Authors: Gadun, A. S. Bibcode: 1999KFNT...15..153G Altcode: 1999KNFT...15..153G Spectral observations of the Li I 671 nm resonance line with high spatial resolution were simulated based on time-dependent series of 2-D solar model atmospheres and the LTE approach. They do not confirm the conclusion of Kiselman (1997, 1998) that the LTE synthesis of this line produces an extremely different correlation between spatial variations of equivalent width and corresponding continuum intensity compared with the NLTE simulation and actual observations. The cause of such a discrepancy with Kiselman's results may be different atmospheric stratification of fluctuations in the thermodynamic quantities in the models used. Simpler single-scale (one-cell) simulations or the fully unstable models with unevolved flows are shown to have a quasi-columnar structure which extends over almost the whole model photosphere; they also produce spectral LTE result in close agreement with Kiselman's LTE plots. Title: Two-dimensional model atmospheres of metal-poor halo dwarfs. I. Analysis of the models. Authors: Gadun, A. S.; Ploner, S. R. O. Bibcode: 1999KFNT...15....3G Altcode: 1999KNFT...15....3G Two-dimensional radiative hydrodynamical simulations of the granulation in metal-poor halo dwarfs are analysed and compared with similar solar calculations. A decrease in metallicity was found to reveal itself in the properties of surface layers, playing a role of thermal boundary. As a result, the granulation temperature contrast grows in the lower photosphere, radiative cooling of hot convective upflows is more active in the middle photosphere, and temperature variations increase in the upper photosphere. The amplitudes of atmospheric oscillations become higher and the size distribution of granules is shifted asymmetrically to the range of smaller scales. The photospheric overshooting convection has a strong impact on the energy balance in the lower photosphere with hot convective upflows predominating. Title: Two-dimensional model atmospheres of metal-poor halo dwarfs. II. Iron and lithium LTE abundances. Authors: Gadun, A. S.; Ploner, S. R. O. Bibcode: 1999KFNT...15...17G Altcode: 1999KFNT...15a..17G; 1999KNFT...15...17G The effect of atmospheric inhomogeneities on the iron and lithium LTE abundances is estimated at 0.2 - 0.3 dex based on two-dimensional model atmospheres of metal-poor halo stars ([M/H] = -2) with Teff and log g close to the solar values. Spectral observations of Fe I and Li I lines in stellar spectra were used. The absolute value of the lithium LTE abundance found with 2D-models ranges from 2.0 to 2.4 in the hydrogen scale. Title: Formation of small-scale magnetic elements: surface mechanism. Authors: Gadun, A. S.; Sheminova, V. A.; Solanki, S. K. Bibcode: 1999KPCB...15..291G Altcode: The authors present results of a two-dimensional MHD simulation of the solar magnetogranulation. The medium was assumed to be compressible, gravitationally stratified, radiatively coupled, partially ionized, and turbulent. The simulated magnetogranulation evolved over the course of two hours of hydrodynamic (solar) time. A surface (magnetic plume-like) mechanism which forms thin magnetic elements was found to operate during the process of granule fragmentation. The activity of such a mechanism suggests that the magnetogranulation can concentrate and intensify the global magnetic flux at the boundaries of convective cells and can also form nearly vertical compact magnetic flux tubes by involving the weak horizontal photospheric field, which may be, in general, of local (turbulent) nature. Title: Two-dimensional model atmospheres of metal-poor halo dwarfs. II. Iron and lithium LTE abundances. Authors: Gadun, A. S.; Ploner, S. R. O. Bibcode: 1999KPCB...15...10G Altcode: The effect of atmospheric inhomogeneities on the iron and lithium LTE abundances is estimated at 0.2 - 0.3 dex based on two-dimensional time-dependent model atmospheres of metal-poor halo stars ([M/H] = -2) with Teff and log g close to the solar values. Spectral observations of Fe I and Li I lines in stellar spectra were used. The absolute value of the lithium LTE abundance found with the 2-D models ranges from 2.0 to 2.4 on the hydrogen scale. Title: Granulation Near the Solar Limb: Observations and 2-D Modeling Authors: Gadun, A. S.; Solanki, S. K.; Johannesson, A. Bibcode: 1999ASSL..239..201G Altcode: 1999msa..proc..201G Based on high spatial resolution spectra and using 2-D fully compressible, HD simulations of granules we analyze the correlations between spectral line parameters: their CLV, height-dependence and sensitivity to spatial resolution. We also point out some discrepancies between the model results and observations. Title: Two-dimensional model atmospheres of metal-poor halo dwarfs. I. Analysis of the models. Authors: Gadun, A. S.; Ploner, S. R. O. Bibcode: 1999KPCB...15....1G Altcode: Two-dimensional radiative hydrodynamical simulations of granulation in metal-poor halo dwarfs are analyzed and compared with similar calculations for the Sun. A decrease in metallicity was found to make itself evident in the properties of surface layers, which fulfil the rôle of a thermal boundary. As a consequence, the granulation temperature contrast grows in the lower photosphere, the radiative cooling of hot convective upflows is more active in the middle photosphere, and temperature variations increase in the upper photosphere. The amplitudes of atmospheric oscillations become higher, and the size distribution of granules is asymmetrically shifted toward smaller scales. The photospheric overshooting convection has a strong impact on the energy balance in the lower photosphere, with hot convective upflows being dominant in it. Title: Spatial variations in the Li I λ671 nm resonance line in two-dimensional simulated granulation. Authors: Gadun, A. S. Bibcode: 1999KPCB...15..115G Altcode: Spectral observations of the Li λ671 nm resonance line with high spatial resolution were simulated in the context of the LTE approach with the use of time series of 2-D solar model atmospheres. The simulation results do not confirm the conclusion of Kiselman (1997, 1998) that the LTE synthesis of this line produces an extremely different correlation between spatial variations of equivalent width and the corresponding continuum intensity compared with the NLTE simulation and actual observations. The disagreement with Kiselman's results may be caused by different atmospheric stratification of fluctuations in the thermodynamic quantities in the models used. Simpler single-scale (one-cell) simulations or fully unstable models with unevolved flows are shown to have a quasi-columnar structure which extends almost over the whole model photosphere; they also produce spectral LTE results in close agreement with Kiselman's LTE plots. Title: Two-dimensional model atmospheres of the Sun: influence of lateral boundary conditions. Authors: Gadun, A. S. Bibcode: 1998KFNT...14..245G Altcode: 1998KNFT...14..245G Influence of two kinds of lateral boundary conditions is studied in context of two-dimensional numerical modeling of solar granulation. The models with periodical conditions on lateral boundaries with respect to the similar models with reflecting sides demonstrate a) more essential contribution of large-scale inhomogeneous structures; b) larger amplitude of vertical oscillations near and above region of traditional temperature minimum. Parameters of primary mode of model oscillations do not depend on kind of lateral boundaries, however. Spectral calculations of 14 Fe I and 12 Fe II lines were additionally made as a test. Title: Temporal Evolution of Artificial Solar Granules Authors: Ploner, S. R. O.; Solanki, S. K.; Gadun, A. S.; Hanslmeier, A. Bibcode: 1998SSRv...85..261P Altcode: We study the evolution of artificial granulation on the basis of 2-D hydrodynamical simulations. These clearly show that granules die in two different ways. One route to death is the well known bifurcation or fragmentation of a large granule into 2 smaller ones (exploding granules). The other pathway to death is characterized by merging intergranular lanes and the accompanying dissolution of the granule located between them. It is found that the lifetime and maximum brightness is independent of the way in which granules evolve and die. They clearly differ in size, however, with exploding granules being in general significantly larger. Title: Temporal Evolution of Artificial Solar Granules Authors: Ploner, S. R. O.; Solanki, S. K.; Gadun, A. S.; Hanslmeier, A. Bibcode: 1998sce..conf..261P Altcode: No abstract at ADS Title: Fourier analysis of Fe I lines in spectra of the Sun, α Centauri A, Procyon, Arcturus and Canopus. Authors: Sheminova, V. A.; Gadun, A. S. Bibcode: 1998KFNT...14..219S Altcode: 1998KNFT...14..219S; 1998KFNT...14c.219S Spectral observations with resolution 200000 have been used to study turbulent velocities in the atmospheres of the Sun, α Centauri A, Procyon, Arcturus, Canopus, and to estimate the rotation velocity (Vesin i) of Canopus. It was found that the isotropic microturbulent velocities and radial-tangential macroturbulent velocities are quite suitable approximations to describe velocity field in the atmospheres of all stars studied except Canopus. Title: Fourier analysis of Fe I lines in the spectra of the Sun, α Centauri A, Procyon, Arcturus, and Canopus. Authors: Sheminova, V. A.; Gadun, A. S. Bibcode: 1998KPCB...14..169S Altcode: Spectral observations of Fe I lines with a 200000 resolution were used to determine turbulent velocities in the atmospheres of the Sun, α Cen A, Procyon (α CMi), Arcturus (α Boo), and Canopus (α Car) and estimate the rotation velocity (Vesin i) of Canopus. Isotropic microturbulent velocities (Vmi) and radial-tangential macroturbulent velocities (VmaRT) were found to be a quite suitable approximation to the velocity field in the atmospheres of all stars studied except Canopus. The average velocities Vmi and VmaRT are 0.8±0.1 and 2.6±0.3 km/s for the Sun as a star, 0.8±0.2 and 2.9±0.4 km/s for α Cen A, 0.8±0.3 and 5.9±0.2 km/s for Procyon, 1.0±0.2 and 4.6±0.3 km/s for Arcturus. The velocity field in the atmosphere of Canopus can be described by an anisotropic radial-tangential distribution of microturbulence (VmiRT = 2.1 km/s) and anisotropic macroturbulent velocities with greatly different radial and tangential components (Vmarad = 17±2 km/s and Vmatan = 1.3±1.0 km/s); Vesin i for Canopus is 3.5±0.2 km/s. Title: Two-dimensional solar model atmospheres: influence of lateral boundary conditions. Authors: Gadun, A. S. Bibcode: 1998KPCB...14..187G Altcode: The authors study two kinds of lateral boundary conditions in the context of a two-dimensional numerical modeling of solar granulation. The models with periodic conditions on lateral boundaries are found to differ from the similar models with reflecting sides in that the large-scale inhomogeneous structures are more important in them and the amplitude of vertical oscillations near and above the traditional temperature minimum region is larger. Parameters of the principal mode of model oscillations turn out to be independent of the kind of lateral boundaries. Test calculations for 14 Fe I lines and 12 Fe II lines reveal that the iron abundance determined to fit the equivalent widths of the lines found from observations is also insensitive to changes in lateral boundary conditions. Title: Absolute shifts of Fe I and Fe II solar spectral lines in active areas (solar disk centre) Authors: Brandt, P. N.; Gadun, A. S.; Sheminova, V. A. Bibcode: 1997KFNT...13e..75B Altcode: Absolute shifts of Fe I and Fe II lines have been estimated based on the spectral observations obtained with Fourier spectrometer. The weak Fe I lines and all Fe II lines demonstrate a red shift tendency in comparison with their positions in quiet areas; the strong Fe I lines, the cores of which are formed higher than 425 km, have more bluer shifts increasing with decreasing lower excitation potential. To interpret these results, the two-dimensional MHD models are used, which reproduce relative red shifts of lines formed in deep photospheric layers. However, the blue shifts of lines formed in higher levels could not confirmed within the framework of these models. Title: 1-D and 2-D model atmospheres: iron and lithium LTE abundances in the Sun. Authors: Gadun, A. S.; Pavlenko, Ya. V. Bibcode: 1997A&A...324..281G Altcode: We discuss LTE abundance determinations of iron and lithium in the solar atmosphere using a grid of one-dimensional (1-D) and two-dimensional (2-D) model atmospheres. These models differ mainly in the convection treatment. We found that the influence of atmospheric inhomogeneities on the iron abundance comprises ~0.1dex for weak Fe I lines with low excitation potentials, and does not exceed ~0.05dex for weak Fe II lines. 2-D models show lower iron abundances for Fe I lines. On the other hand, lithium abundances obtained for 1-D homogeneous and 2-D inhomogeneous model atmospheres differ up to 0.1-0.2dex. 2-D model atmospheres result in lower lithium abundances, in contradiction with the recent suggestion of Kurucz (1995, Prepr. of Harvard-Smith. Cent. of Astrophys., no. 4054, 1). Title: Asymmetry and line-parameter variations in granular-intergranular regions in 2D artificial granulation Authors: Gadun, A. S.; Hanslmeier, A. Bibcode: 1997KFNT...13c..24G Altcode: Two sets of 2D models of solar granulation are used to interpret published observations of the spectral lines of Fe I 491.154, 491.178, and 649.499 nm obtained with high spectral and spatial resolution over selected granular-intergranular regions. We study variations of continuum intensity, residual intensity in the line cores, Doppler velocities, and line asymmetries over granular-intergranular areas in the center of the solar disk, and compare the correlation between these parameters obtained from models with observational ones. It is found that 2D models of the solar granulation that describe the convective motions as quasi-stationary, cellular, and laminar with the system of quasi-column vertical photospheric velocities show the high correlation values between the line-parameter variations and cannot explain the observational behavior of spectral line characterstics over single granular-intergranular areas. A good reproduction of observational results can be found only by applying 2D models that treat the solar thermal convection as a fully nonstationary system with interacting flows. Title: Bisectors and line-parameter variations over granular and intergranular regions in 2-D artificial granulation. Authors: Gadun, A. S.; Hanslmeier, A.; Pikalov, K. N. Bibcode: 1997A&A...320.1001G Altcode: Two sets of two-dimensional models of the solar granulation have been used to interpret the published observations of spectral lines of Fe I 4911.54, 4911.78, and 6494.99Å obtained with high spectral and spatial resolution over selected granular and intergranular regions. The models differ by the horizontal size of the modeling region and treatment of thermal convection. We study the variations of continuum intensity, residual intensity in the line cores, Doppler velocities, line asymmetries over granular and intergranular areas in the center of the solar disk and compare the correlation between these parameters obtained from models with observational ones. A good reproduction of the observational results can be found only by applying d models that treat the solar thermal convection as a fully non-stationary system with interacting flows. Such models also take into account the important role of secondary motions that influence the middle and upper photosphere. As essential perturbing factors there appear photospheric flows with supersonic velocities which can change the photometric profiles of granules, create regions with inversion of temperature distribution and impact onto the velocity field. Variations of line parameters strongly depend on limitations in spatial resolution (spatial smearing). This was simulated in the models by applying different Gaussian smearing functions. Seeing was found to affect variations of equivalent widths, full widths at half maxima, and bisectors of the lines most strongly. Title: Variations of line parameters and bisectors over granular-intergranular regions in the 2-D artificial solar granulation. Authors: Gadun, A. S.; Hanslmeier, A. Bibcode: 1997KPCB...13c..17G Altcode: 1997KPCB...13Q..17G Variations in the Fe I lines λλ 491.154, 491.178, and 649.499 nm in the solar spectrum observed with high spectral and spatial resolution in selected granular-intergranular regions are interpreted with the use of two sets of solar granulation models which differ by the horizontal size of the region modeled and by treatment of thermal convection. The authors analyze variations of the continuum intensity, residual intensity in the line cores, Doppler velocities, equivalent widths, half-widths, and asymmetries of synthesized lines in the center of the solar disk, as well as correlations between the parameter variations. The authors compare also these correlations with those between the observed line parameters. It is found that the models which describe the solar thermal convection as quasi-stationary, cellular, and laminar motions show strong correlation between line parameter variations and cannot reproduce the behavior of spectral line characteristics observed in individual granular-intergranular areas. Observational results are well reproduced by the models where the thermal convection is treated as a completely nonstationary system with active secondary motions in the middle and upper photosphere. Title: Absolute shifts of Fe I and Fe II lines in solar active regions (disk center). Authors: Brandt, P. N.; Gadun, A. S.; Sheminova, V. A. Bibcode: 1997KPCB...13e..65B Altcode: 2010arXiv1005.2064B; 1997KPCB...13...65B Absolute shifts of Fe I and Fe II lines in solar active regions were estimated from Fourier-transform spectra. Weak Fe I lines and all Fe II lines tend to be red-shifted as compared to their positions in quiet areas, while strong Fe I lines, whose cores are formed above the level log τ5 ≍ -3 (about 425 km), are relatively blue-shifted, the shift growing with decreasing lower excitation potential. The authors interpret the results through two-dimensional MHD models, which adequately reproduce red shifts of the lines formed deep in the photosphere. Blue shifts of the lines formed in higher layer do not gain substance from the models. Title: Characteristics of simulated granules in two-dimensional numerical hydrodynamical modeling of solar granulation Authors: Gadun, A. S.; Vorob'ev, Yu. Yu. Bibcode: 1996ARep...40..569G Altcode: No abstract at ADS Title: Two-dimensional hydrodynamical modeling of solar granules: The power spectrum of simulated granules Authors: Gadun, A. S.; Pikalov, K. N. Bibcode: 1996ARep...40..578G Altcode: No abstract at ADS Title: Power Spectra of Artificial Granulation Authors: Gadun, A. S.; Pikalov, K. N. Bibcode: 1996SoPh..166...43G Altcode: Two-dimensional, non-stationary hydrodynamic models of solar granulation with gray and non-gray atmospheres have been used to obtain spatial, temporal, and spatio-temporal power spectra. The temperature, density of kinetic energy, monochromatic intensity, integrated flux, and vertical velocity spectra have been studied for a comparison with the Kolmogorov power law as well as for a qualitative understanding of oscillations, which are reproduced as a result of modelling. Title: Iron abundance derived from two-dimensional inhomogeneous solar model atmospheres. Fe I and Fe II lines (center of the disk). Authors: Gadun, A. S. Bibcode: 1996KPCB...12d..13G Altcode: 1996KPCB...12...13G Two-dimensional hydrodynamic solar model atmospheres are used to determine the iron abundance in the solar photosphere by fitting calculated equivalent widths and central depths of Fe I and Fe II lines to observed ones. The effect of atmospheric inhomogeneities is found to give rise to uncertainties in the iron abundance of about 0.1 dex for weak Fe I lines with low excitation potentials and 0.05 dex for weak Fe II lines. A self-consistent velocity field in 2-D models with a statistically wide spectrum of inhomogeneities would suffice to reproduce observed line profiles. Title: Artificial Granules in 2-D Solar Models Authors: Gadun, A. S.; Vorob'yov, Yu. Yu. Bibcode: 1995SoPh..159...45G Altcode: Two-dimensional, hydrodynamic, time-dependent models of solar granulation have been used to determine characteristics of artificial granules. It is found that the evolution of granules which subsequently fragment, respectively disappear, is fundamentally different. Dissolution of artificial granules is the basic process (48%-58%) in 2-D models. The number of small-scale and short-lived granules increases continuously toward the smaller scales. The main contributor to the total area are the granules with sizes about ∼900-1000 km. The mean lifetime of artificial granules is estimated to be 6-11 min. Title: Changes in the Fe II line parameters depending on magnetic flux (solar disk center). Authors: Brandt, P. N.; Gadun, A. S. Bibcode: 1995KPCB...11d..36B Altcode: 1995KPCB...11...36B Analyzes the fine structure of 30 Fe II lines in three areas near the center of the solar disk. Changes in the line bisectors depending on magnetic flux are given. The central depths of lines are shown to decrease with growing filling factor; the equivalent widths of weak lines decrease also, while the equivalent widths of medium and medium-strong lines remain unchanged or increase. The dependence of these variations on excitation potential, line strength, and depth of line formation is analyzed. Self-consistent two-dimensional MHD models of solar granulation have been computed for the interpretation of observational data. The authors present some parameters of the models together with the results of calculations made with 2D MHD and nonmagnetic hydrodynamic models for two Fe I and Fe II lines insensitive to magnetic fields. The calculations confirm qualitatively the observed behavior of line asymmetries. Title: Three-dimensional hydrodynamic models of solar granulation and their application to a spectral analysis problem. Authors: Atroshchenko, I. N.; Gadun, A. S. Bibcode: 1994A&A...291..635A Altcode: The results of three-dimensional hydrodynamic simulations of solar granulation, obtained using two different algorithms are presented. Sequences of 3-D hydrodynamic, time-dependent models have been used to determine iron abundance in the solar photosphere. The results of iron abundance determination from the equivalent widths and central depths of 42 FeI and 32 FeII lines are presented. The iron abundance has also been estimated from the line asymmetries and their absolute shifts. The conclusion was made that FeII lines are the most suitable for iron abundance determination in the LTE approximation, since they are not very sensitive to the temperature structure of models and to NLTE effects. To clear up the influence of the inhomogeneous structure of 3-D models on spectral line calculations, computations on the basis of 1-D models were carried out. The results of hydrodynamic simulations of granulation on Procyon, using the numerical technique developed for modelling solar granulation, are presented in comparison with the ones obtained for the Sun. The inhomogeneous models of the photosphere of Procyon permitted us to reproduce line asymmetries, observed in the spectrum of Procyon, and to estimate the rotation velocity of this star as 3.5 km/s. The temperature structure of the 3-D models of Sun and Procyon was also approximated by the mixing length theory with variable A (i.e. it was supposed that mixing length parameter A is varied with depth). Title: Iron abundance and microturbulence in Arcturus, Canopus, alpha CEN A and Sun from FeI and FeII lines. Authors: Gadun, A. S. Bibcode: 1994AN....315..413G Altcode: The iron abundance and microturbulent velocities in Arcturus, Canopus, and alpha Cen A have been determined from FeI and FeII lines relative to the Sun. Alpha Cen A is found to have an enhanced iron abundance, while Canopus and Arcturus are found to have a deficiency of iron. The behavior of the determined microturbulent velocities is discussed. Title: The application of three-dimensional models of the solar photosphere for spectral analysis problems. Fe I and Fe II lines (solar disk centre). Authors: Gadun, A. S. Bibcode: 1994KFNT...10...33G Altcode: 1994KNFT...10...33G The LTE determination of iron abundance using 42 Fe I and 32 Fe II lines was carried out for two sequences of three-dimensional models: a cool one with the "gray" atmosphere and a hot one with the "non-gray" atmosphere. The results indicate that abundance of chemical elements may be estimated from line asymmetry and absolute wavelength shifts. However, specific structure of 3D-models leads to abundance differences between 3D-models and 1D-hydrostatic ones. The assumptions and limitations of 3D-models application for spectral analysis problems are discussed. Title: Changes of the Fe I spectral line parameters as a functin of the magnetic flux (solar disk centre). Authors: Brandt, P. N.; Gadun, A. S. Bibcode: 1993KFNT....9....8B Altcode: 1993KNFT....9....8B The parameter variations of the 281 Fe I lines (asymmetry, depth, equivalent width, halfwidth) are analysed in three regions near the solar disk centre, having different magnetic fluxes. The analysis shows that the line parameter variations depend on the line strength, the lower excitation potential and the line sensitivity to the magnetic field. A qualitative interpretation of the results is given. Title: Changes in the parameters of Fe I spectral lines as a function of the magnetic flux (solar disc center). Authors: Brandt, P. N.; Gadun, A. S. Bibcode: 1993KPCB....9c...5B Altcode: 1993KPCB....9....5B Parameters of 281 Fe I lines (asymmetry, depth, equivalent width, halfwidth) are analyzed in three regions near the solar disk center which have different magnetic fluxes. The parameters are shown to vary with the line intensiy, lower excitation potential, and line sensitivity to the magnetic field. The results are interpreted qualitatively. Title: The "Fraunhofer Solar Spectrum" data bank. Authors: Gadun, A. S.; Sosonkina, M. M.; Sheminova, V. A. Bibcode: 1992KFNT....8...80G Altcode: 1992KNFT....8...80G A relational data base model has been developed for the IBM PC XT/AT-type computers managed by MS-DOS/PC-DOS of the versions 3.0 and later. The data base includes the following characteristics of the solar spectrum Fraunhofer lines: the wavelength, chemical element symbol and its ionization state, atomic transition, Lande factors, excitation potential of the lower level, central depth, equivalent width, oscillator strengths, height of formation. The program of data manipulation provides a user with ample opportunities in sampling lines. At present the data bank contains information about 662 unblended lines in the solar spectrum belonging to Fe I, Fe II, Ni I, Sc I, Sc II, Ti I, Ti II, V I, V II, Cr I, Cr II, Y I, Y II, Zr I, Zr II. Title: The "Fraunhofer solar spectrum" data bank. Authors: Gadun, A. S.; Sosonkina, M. M.; Sheminova, V. A. Bibcode: 1992KPCB....8b..71G Altcode: 1992KPCB....8...71G A relational data base model has been developed for the IBM PC XT/AT computers managed by the MS-DOS/PC-DOS version 3.0 and later. The data base includes the following characteristics of the Fraunhofer lines in the solar spectrum: the wavelength, chemical element's symbol and its ionization state, atomic transition, Lande factors, excitation potential of the lower level, central depth, equivalent width, oscillator strength, height of formation. The data manipulation program provides a user with ample opportunities in sampling lines. At present, the data bank contains information about 662 unblended lines in the solar spectrum belonging to Fe I, Fe II, Ni I, Sc I, Sc II, Ti I, Ti II, V I, V II, Cr I, Cr II, Y I, Y II, Zr I, Zr II. Title: Fine structure of the Fraunhofer lines - Observation results and their interpretation Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostyk, R. I. Bibcode: 1990KFNT....6R...3A Altcode: Observation results on line asymmetry and absolute line shift in the spectra of the solar photosphere are presented and their theoretical interpretation is discussed. Empirical data are presented on the line asymmetry and line shifts for the center of the solar disk, for center-to-limb transition, for the spectrum of the sun as a star, and for active regions. Data are also presented concerning variations of line asymmetry as a function of the phase of the solar cycle. The semiempirical approach to the interpretation of Fraunhofer line asymmetry and absolute line shifts is also discussed. The results of a multidimensional numerical simulation of convective motions in the superadiabatic region and in the solar photosphere are presented. Title: Fine structure of the Fraunhofer lines: observation results and their interpretation. Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostyk, R. I. Bibcode: 1990KNFT....6R...3A Altcode: The review embraces results of the spectral line observations and their theoretical interpretation. The empirical data on the line asymmetry and absolute wavelength shifts are presented for the solar centre, for different positions on the solar limb and for the Sun as a star. Their dependence on the phase of the solar activity cycle is also reviewed. Interpretation of these data on the basis of semiempirical models is discussed. The multidimensional numerical simulation results of convective motions in the superadiabatic region and in the solar photosphere are presented. Title: Analysis of Absorption Line Profiles in the Spectra of the Sun and Procyon - Velocity Field and Size of Inhomogeneities Authors: Gadun, A. S.; Kostyk, R. I. Bibcode: 1990SvA....34..260G Altcode: No abstract at ADS Title: Analysis of absorption line profiles in the solar and Procyon spectra : velocity field and sizes of turbulent eddies. Authors: Gadun, A. S.; Kostyk, R. I. Bibcode: 1990AZh....67..520G Altcode: It is shown that the turbulent velocity and the sizes of turbulent eddies in the Procyon atmosphere are 1.5-2.5 times larger than in the solar atmosphere. A comparative analysis of the variation of these parameters with height revealed substantial differences between convection processes on the sun and Procyon. Title: Determination of the rotation parameters of the solar atmosphere from asymmetries of Fraunhofer lines. Authors: Gadun, A. S.; Pikalov, K. N. Bibcode: 1990KFNT....6...43G Altcode: 1990KNFT....6...43G The solar rotation velocity has been found from comparison of central depths and asymmetries of Fraunhofer lines in the spectrum of the Sun as a star with central depths and asymmetries of the same lines at different distances from the solar centre. The effect of rotation on line asymmetries and line central depths was studied. The conclusion is made that the new method may be used for the determination of the rotation rate of slow rotating stars from the comparison of line asymmetries at different distances from the stellar disk centre (using multidimensional convective models). Title: Comparative Analysis of Physical Conditions in the Solar and Procyon Atmospheres Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostik, R. I.; Pikalov, K. N. Bibcode: 1990IAUS..138..421A Altcode: No abstract at ADS Title: Modeling of convective motions in the envelope of procyon. II. Asymmetry of the spectral lines Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostyk, R. I. Bibcode: 1989Ap.....31..765A Altcode: 1990Ap.....31..765A No abstract at ADS Title: Modeling of convective motions in the envelope of procyon. I. ideology and analysis of three-dimensional models Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostyk, R. I. Bibcode: 1989Ap.....31..580A Altcode: 1990Ap.....31..580A No abstract at ADS Title: Three-Dimensional Simulation of Convective Motions in the Procyon Envelope Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostik, R. I. Bibcode: 1989ASIC..263..521A Altcode: 1989ssg..conf..521A No abstract at ADS Title: Asymmetry of Absorption Lines in the Solar and Procyon Spectra Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostik, R. I. Bibcode: 1989ASIC..263..135A Altcode: 1989ssg..conf..135A No abstract at ADS Title: The Simulation of the Convective Motions in the Procyon Envelope - Part Two - Spectral Line Asymmetries Authors: Atroschenko, F. N.; Gadun, A. S.; Kostyk, R. I. Bibcode: 1989Afz....31..589A Altcode: No abstract at ADS Title: The simulation of the convective motions in the Procyon envelope. I. Ideology and analysis of the three-dimensional inhomogeneous models. Authors: Atroshchenko, I. N.; Gadun, A. S.; Kostyk, R. I. Bibcode: 1989Afz....31..281A Altcode: No abstract at ADS Title: SPANSAT: the Program for LTE Calculations of Absorption Line Profiles in Stellar Atmospheres Authors: Gadun, A. S.; Sheminova, V. A. Bibcode: 1988ITF....87P...3G Altcode: The calculation algorithms and controlling macrolanguage for basic modification of SPANSAT program are presented. It is the program for LTE-calculation of absorption line profiles in stellar atmospheres. The program can be applied to the Sun or to Stars of the solar type. Title: Rotation of the Solar Atmosphere at Different Altitudes Authors: Gadun, A. S.; Kostyk, R. I.; Sheminova, V. A. Bibcode: 1987SvA....31..557G Altcode: No abstract at ADS Title: The rotation of the solar atmosphere at different altitudes Authors: Gadun, A. S.; Kostyk, R. I.; Sheminova, V. A. Bibcode: 1987AZh....64.1066G Altcode: A new method for determining the solar rotation velocity is proposed. A comparison was made between the observed central depths of Fraunhofer lines in the spectrum of the sun as a star and calculations based on center-limb observations. For altitudes in the range of 100-1100 km above the level of the continuous spectrum, the solar rotation velocity hardly changes. Title: Approximative models of the solar convective zone in an approach of mixing length theory modifications. Authors: Atroshchenko, I. N.; Gadun, A. S. Bibcode: 1986KFNT....2...21A Altcode: The models of the solar convective zone consistent with HOLMU and VAL 80 semi-empirical models of the solar atmosphere at the outer boundary and with the Abraham-Eben (1971) model of the internal solar structure at the inner boundary were constructed in the approximation of mixing length theory modifications. Limitations are put on the velocities of rising convective elements in agreement with observations. Title: Rotation of the solar photosphere from observations of central depthsof Fraunhofer lines. Authors: Gadun, A. S.; Kostyk, R. I.; Sheminova, V. A. Bibcode: 1985KFNT....1R..53G Altcode: The solar rotation velocity for different heliographic latitudes has been found from comparison of the central depths of Fraunhofer lines in the spectrum of the sun as a star with the central depths of the same lines at different distances from the solar centre. Title: The fine structure of Fraunhofer lines in the spectrum of the sun as a star. Authors: Gadun, A. S.; Kostyk, R. I. Bibcode: 1985KFNT....1...24G Altcode: 1985KFNT....1R..24G The Fraunhofer lines in the spectrum of integrated sunlight are shown to have asymmetries similar to the asymmetry of the spectrum of the solar disk centre. It is found that the asymmetry varies with line strength and does not practically depend on the lower level excitation potential, ionization degree and atomic weight. Title: Models of the solar convective zone. Authors: Gadun, A. S. Bibcode: 1985KFNT....1...66G Altcode: Models of the solar convective zone consistent with Abraham's and Eben's model of the internal solar structure on the inner boundary, and HSRA, HOLMU, VAL 80 semi-empirical models and Nelson's (1978) theoretical two-dimensional model on the outer boundary were obtained on the basis of the mixing length theory. Calculated velocities of rising convective elements were compared with the observed ones. Title: Application of the integral method to plotting of the light curve and for determining the mean radius of XZ Cyg. Authors: Gadun, A. S.; Zaikova, L. P.; Romanov, Iu. S. Bibcode: 1982AAfz...46...23G Altcode: The light curves of XZ Cyg are calculated for two phases of the Blazhko effect (at minimum and maximum light-variation amplitudes) from variations of radius and temperature, with allowance for the content of heavy elements in the stellar atmosphere. Mean radii of 3.83 x 10 to the 11th cm and 3.90 x 10 to the 11th cm were obtained for minimum and maximum light-variation amplitudes, respectively, on the basis of a comparison of calculated and observed light curves. Title: Visual observations of DY Peg. Authors: Atroshchenko, I. N.; Gadun, A. S.; Kudlinkov, S. V.; Melnikov, S. N.; Chausovskiy, A. M. Bibcode: 1981ATsir1158....6A Altcode: 1981ATsir1158....1A No abstract at ADS Title: On the period of NW Lyrae. Authors: Gadun, A. S. Bibcode: 1977ATsir.958....8G Altcode: No abstract at ADS