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Wyświetlanie 1-15 z 22
Tytuł:
General remarks on dynamic projection method
Autorzy:
Leble, S.
Powiązania:
https://bibliotekanauki.pl/articles/1938597.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
partial differential equations
dynamical system
Cauchy problem
diffusion equation
projection operator
idempotent operators
eigen mode
mode interaction
boundary regime propagation
Opis:
A brief history and a mathematical description of the dynamic projection operators technique is presented. An example of the general Cauchy problem for evolution equations in 1+ 1 dimensions is studied in detail. A boundary regime propagation is formulated in terms of operators and illustrated by the simplest one-dimensional diffusion equation. The problem of temperature waves is discussed.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 113-130
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bloch wave - ZRP scattering as a key element of solid state physics computation: 1D example
Autorzy:
Botman, S.
Leble, S.
Powiązania:
https://bibliotekanauki.pl/articles/1938592.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
Dirac comb
resistivity
Boltzmann equation
scattering
Opis:
This paper presents calculation of the electron-impurity scattering coefficient of Bloch waves for one dimensional Dirac comb potential. The impurity is also modeled as delta function pseudopotential that allows explicit solution of the Schrodinger equation and scattering problem for Bloch waves.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 197-206
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kolmogorov equation solution: multiple scattering expansion and photon statistics evolution modeling
Autorzy:
Guirao, M.
Leble, S.
Powiązania:
https://bibliotekanauki.pl/articles/1954433.pdf
Data publikacji:
2014
Wydawca:
Politechnika Gdańska
Tematy:
Kolmogorov equation
Fokker-Planck equation
multiple scattering expansion
photon statistics evolution
single scattering term
X-rays in beryl
Opis:
We consider a formulation of the Cauchy problem for the Kolmogorov equation which corresponds to a localized source of particles to be scattered by a medium with a given scattering amplitude density. The multiple scattering ampl itudes are introduced and the corresponding series solution of the equation is constructed. We investigate the integral representation for the first series terms, its estimations and values of the photon number of finite and point receivers. Application to the LIDAR problem and X-ray beam scattering for orthogonal and inclined to a layer is considered.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2014, 18, 2; 187--203
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Problem of disturbance identification by measurement in the vicinity of a point
Autorzy:
Leble, S.
Vereshchagina, I.
Powiązania:
https://bibliotekanauki.pl/articles/1938586.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
wave disturbances
acoustics
disturbance
Opis:
A problem of wave identification is formulated. We propose a diagnostic analysis of medium disturbances based on distinguishing of components of a wave vector that is specific for each kind of the wave mode. Mathematically it is realized by projection operator technique. An example is considered in conditions of a one-dimensional Cauchy problem for a conventional wave equation in the matrix form and its version with weakly x-dependent coefficients as a demonstration of the method application for the simplest adiabatic theory of one-dimensional acoustics. The case of acoustics in a gas with a dissipation account is also discussed from the point of view of the wave and entropy mode diagnostics.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 131-141
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An algorithm of velocity field evaluation via temperature field measurement on the basic of streamline-defined coordinates
Autorzy:
Leble, S.
Shaban, M.
Powiązania:
https://bibliotekanauki.pl/articles/1940181.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska
Tematy:
free convective heat transfer
isothermal surface
numerical analysis
natural convection
streamline coordinate system
ciepło konwekcyjne
przepływ ciepła
powierzchnia izotermiczna
analiza numeryczna
konwekcja naturalna
transformacja współrzędnych
Opis:
A new algorithm is presented for evaluating the velocity field of the heat convection flow from a vertical solid flat plate using the temperature field. Using the coordinate transformation of Cartesian coordinates, to coordinates defined via streamlines, and visible in such coordinate approximations, it is possible to express the basic flow fields in terms of the temperature gradients only. After discretization we formulate approximated sufficient finite-difference formulas to evaluate the velocity field using the experimental data.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2017, 21, 3; 247-259
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic projection operator method in the theory of hyperbolic systems of partial differential equations with variable coefficients
Autorzy:
Leble, S.
Vereshchagina, I.
Powiązania:
https://bibliotekanauki.pl/articles/1940707.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska
Tematy:
hyperbolic PDE
idempotents
inhomogeneous media
acoustics
Opis:
We consider a generalization of the projection operator method for the case of the Cauchy problem in 1D space for systems of evolution differential equations of first order with variable coefficients. It is supposed that the dependence of coefficients on the only variable χ is weak, that is described by the introduction of a small parameter. Such problem corresponds, for example, to the case of wave propagation in a weakly inhomogeneous medium. As an example, we specify the problem to adiabatic acoustics in waveguides with a variable cross-section. Projection operators are constructed for the Cauchy problem to fix unidirectional modes. The method of successive approximations (perturbation theory) is developed and based on the pseudodifferential operators theory. The application of projection operators adapted for the case under consideration allows deriving approximate evolution equations corresponding to the separated directed waves.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2017, 21, 2; 109-120
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
General dynamic projecting of Maxwell equations
Autorzy:
Wojda, P.
Leble, S.
Powiązania:
https://bibliotekanauki.pl/articles/1940709.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska
Tematy:
general electrodynamics
electromagnetic waves
dynamic projecting operators
hybrid waves
parabolic equation
Opis:
A complete – system of Maxwell equations is splitting into independent subsystems by means of a special dynamic projecting technique. The technique relies upon a direct link between field components that determine correspondent subspaces. The explicit form of links and corresponding subspace evolution equations are obtained in conditions of certain symmetry, it is illustrated by examples of spherical and quasi-one-dimensional waves.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2017, 21, 2; 85-96
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic-numerical model of a convective boundary layer and heat transfer on a horizontal cone
Autorzy:
Leble, S.
Pelc, W.
Powiązania:
https://bibliotekanauki.pl/articles/1943220.pdf
Data publikacji:
2009
Wydawca:
Politechnika Gdańska
Tematy:
natural convection
Fourier-Kirchhoff equations
boundary layer equation
isothermal cone
matching of Frobenius expansions
Opis:
An approximate analytical solution of a two dimensional problem for stationary Navier-Stokes, continuity and Fourier-Kirchhoff equations describing a free convective heat transfer from an isothermal cone is presented. The problem formulation is based on assumptions typical for natural convection: non-compressibility and the Boussinesq approximation. The solution is based on Frobenius expansions at the vicinities of two points: the initial point and the singular point of the boundary layer equation. Numerical matching of the expansions and Nusselt number evaluations are traced.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2009, 13, 1-2; 133-144
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On reflection and refraction of plane electromagnetic waves at a conducting matter surface
Autorzy:
Leble, S.
Vereshchagina, S.
Powiązania:
https://bibliotekanauki.pl/articles/1938591.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
electromagnetic waves
conducting medium
reflection
refraction
Fresnel formula
X-rays refraction
PACS
Opis:
A general problem of monochrome plane electromagnetic wave reflection and refraction at the interface between the conducting medium and the dielectric is formulated and solved by symbolic computation for given incident wave polarization. The conductivity account via the Ohm law directly in the Maxwell equation leads to a complex wavenumber and hence complex amplitudes of the reflected and refracted waves. Atomic absorption is taken into account via the imaginary part of permittivity. The general formula for the time-averaged Pointing vector in the conducting media as a function of the medium parameters and the incident angle is derived and used for the refraction angle definition. The result is compared with textbooks and recent publications. The dependence of intensity as a function of the angle to the interface is determined also via the Pointing vector as a function of the incident wave and medium parameters.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 207-217
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
General equation for directed electromagnetic wave propagation in 1D metamaterial: projecting operator method
Autorzy:
Ampilogov, D.
Leble, S.
Powiązania:
https://bibliotekanauki.pl/articles/1938596.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska
Tematy:
metamaterials
directed waves interactions
Drude dispersion
Kerr nonlinearity
solitary solutions
Opis:
We consider a boundary regime problem for 1D wave propagation in a metamaterial medium with simultaneously negative dielectric permittivity and magnetic permeability. We apply a projecting operator method to the Maxwell system in the time domain that allows the space of the linear propagation problem to be split into subspaces of directed waves for the relations of a given material with general dispersion. After projection, the equations for directed waves have a maximally simplified form, which is most convenient for numerical and analytical integration. Matrix elements of the projectors act as integral operators. For a given nonlinearity and dispersion we derive a general system of interacting right/left waves with combined (hybrid) amplitudes. The result is specified for the Drude metamaterial model for both permittivity and permeability coefficients and the Kerr nonlinearity. We also discuss and investigate singular solitary wave solutions of the system as a limit stationary elliptic system related to some boundary regimes.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 143-155
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On problem of Rossby and Pointcare atmospheric waves separation and spectra
Autorzy:
Karpov, I.
Leble, S.
Powiązania:
https://bibliotekanauki.pl/articles/1940708.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska
Tematy:
geophysical hydrodynamics
Rossby and Poincare waves
projecting operators
inverse problem
regularization
PACS
Opis:
We propose a new inverse problem formulation based on the hydrodynamics consideration of a gas/water fluid that results in planetary waves diagnostics. We analyze such a possibility beginning from a simplest version of geophysical hydrodynamics, written in the b-plane model. The problem of diagnostics is solved approximately after expansion with respect to the transverse basis functions applying projecting to Rossby and Poincare waves in each transverse subspace that contains its superposition. The corresponding discrete version of the operators is built to be applied to the observation data.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2017, 21, 2; 97-108
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dressing of zero-range potentials into realistic molecular potentials of finite range
Autorzy:
Leble, S.
Ponomarev, D.
Powiązania:
https://bibliotekanauki.pl/articles/1943185.pdf
Data publikacji:
2010
Wydawca:
Politechnika Gdańska
Tematy:
effective potentials
zero-range potentials
Darboux transformation
dressingmethod
Opis:
The zero-range potentials of the radial Schrodinger equation and their dressing are investigated. A sequence of Darboux transformations involving a set of parameters yields solvable potentials of a finite-range with physically meaningful properties. In particular, the newly obtained potential is matched to that resulting from the ab initio computation methods in terms of discrete and continuous spectrum parameters. The approach, being a companion to conventional quantum simulation methods, combines symbolical and numerical calculations and is expected to work best for molecules with high spherical symmetry, typically fullerenes.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2010, 14, 1-2; 29-34
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Virial coefficients from cubic KZK
Autorzy:
Leble, S.
Vereshchagina, I.
Powiązania:
https://bibliotekanauki.pl/articles/332101.pdf
Data publikacji:
1999
Wydawca:
Polskie Towarzystwo Akustyczne
Opis:
We start from the cubic KZK equation for ultrasonics beam that accounts first, second and third powers of density in pressure Taylor series expansion. In a condition of moderate amplitude and nearfield one can use approximate solutions provided by perturbation method including terms resonant to the multiple frequencies on a transducer. We consider three resonant harmonics within Rayleigh distance range. The second and third harmonics averaged over the beam cross-section are expressed in terms of some standard integrals and nonlinear constants. Fourier transforms of a signal on a receiver are equalized to the results of the evaluation that give equations for the non-linear constants determination. This in tum allows to compute constants B/A and C/A of the equation of state (virial expansion).
Źródło:
Hydroacoustics; 1999, 2; 251-256
1642-1817
Pojawia się w:
Hydroacoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decomposition of Acoustic and Entropy Modes in a Non-Isothermal Gas Affected by a Mass Force
Autorzy:
Leble, S.
Perelomova, A.
Powiązania:
https://bibliotekanauki.pl/articles/177555.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non-uniform media
acoustics of non-uniform media
hydrodynamic field
initialization of hydrodynamic field
Opis:
Diagnostics and decomposition of atmospheric disturbances in a planar flow are considered in this work. The study examines a situation in which the stationary equilibrium temperature of a gas may depend on the vertical coordinate due to external forces. The relations connecting perturbations are analytically established. These perturbations specify acoustic and entropy modes in an arbitrary stratified gas affected by a constant mass force. The diagnostic relations link acoustic and entropy modes, and they are independent on time. Hence, they provide an ability to decompose the total vector of perturbations into acoustic and non-acoustic (entropy) parts, and to establish the distribution of energy between the sound and entropy modes, uniquely at any instant. The total energy of a flow is hence determined in its parts which are connected with acoustic and entropy modes. The examples presented in this work consider the equilibrium temperature of a gas, which linearly depends on the vertical coordinate. Individual profiles of acoustic and entropy parts for some impulses are illustrated with plots.
Źródło:
Archives of Acoustics; 2018, 43, 3; 497-503
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Liquid water. Analytical equation of state and acoustic parameters evaluation
Autorzy:
Leble, S.
Kuśmirek-Ochrymiuk, M.
Powiązania:
https://bibliotekanauki.pl/articles/332311.pdf
Data publikacji:
2002
Wydawca:
Polskie Towarzystwo Akustyczne
Opis:
The analytical equation of state for liquid water, proposed by Jeffery and Austin, is discussed and used for calculating of the sound velocity and the parameter BIA in the paper. These acoustic quantities, obtained for the theoretical model, are compared with experimental data. Some corrections to the equation of state, resulting from the comparison, are proposed.
Źródło:
Hydroacoustics; 2002, 5; 23-28
1642-1817
Pojawia się w:
Hydroacoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 22

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