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    Wyświetlanie 1-31 z 31
    Tytuł:
    Towards to efficiency maximum within a pressure increasing process
    Autorzy:
    Puzyrewski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/175336.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    efficiency
    kinematic flow
    pumps
    incompressible fluid
    Opis:
    The article presents a mathematical description of compression process in a pump and an original concept to increase efficiency in this process.
    Źródło:
    Transactions of the Institute of Fluid-Flow Machinery; 2014, 126; 153-168
    0079-3205
    Pojawia się w:
    Transactions of the Institute of Fluid-Flow Machinery
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Near-resonant regimes of a moving load on a pre-stressed incompressible elastic half-space
    Autorzy:
    Kudaibergenov, Askar
    Kudaibergenov, Askat
    Prikazchikov, Danila
    Powiązania:
    https://bibliotekanauki.pl/articles/1837943.pdf
    Data publikacji:
    2021
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    moving load
    incompressible
    pre-stress
    asymptotic
    Opis:
    The article is concerned with the analysis of the problem for a concentrated line load moving at a constant speed along the surface of a pre-stressed, incompressible, isotropic elastic half-space, within the framework of the plane-strain assumption. The focus is on the near-critical regimes, when the speed of the load is close to that of the surface wave. Both steady-state and transient regimes are considered. Implementation of the hyperbolic–elliptic asymptotic formulation for the surface wave field allows explicit approximate solution for displacement components expressed in terms of the elementary functions, highlighting the resonant nature of the surface wave. Numerical illustrations of the solutions are presented for several material models.
    Źródło:
    Acta Mechanica et Automatica; 2021, 15, 1; 30-36
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Ferromagnetic flow of viscous fluid in a slot between fixed surfaces of revolution
    Autorzy:
    Sawicki, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/260429.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
    Tematy:
    laminar flow
    incompressible ferromagnetic fluid
    method of perturbation
    Opis:
    In this paper the steady laminar flow of viscous incompressible ferromagnetic fluid is considered in a slot between fixed surfaces of revolution having a common axis of symmetry. The boundary layer ferromagnetic equations for axial symmetry are expressed in terms of the intrinsic curvilinear orthogonal coordinate system x, θ ,y.The method of perturbation is used to solve the boundary layer equations. As a result, the formulae defining such parameters of the flow as the velocity components vx, vy, and the pressure , were obtained.
    Źródło:
    Polish Maritime Research; 2016, 4; 99-104
    1233-2585
    Pojawia się w:
    Polish Maritime Research
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stokes flow of an incompressible micropolar fluid past a porous spheroidal shell
    Autorzy:
    Iyengar, T.
    Radhika, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/202342.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Stokes flow
    incompressible micropolar fluid
    porous spheroidal shell
    Opis:
    Consider a pair of confocal prolate spheroids S0 and S1 where S0 is within S1. Let the spheroid S0 be a solid and the annular region between S0 and S1 be porous. The present investigation deals with a flow of an incompressible micropolar fluid past S1 with a uniform stream at infinity along the common axis of symmetry of the spheroids. The flow outside the spheroid S1 is assumed to follow the linearized version of Eringen’s micropolar fluid flow equations and the flow within the porous region is assumed to be governed by the classical Darcy’s law. The fluid flow variables within the porous and free regions are determined in terms of Legendre functions, prolate spheroidal radial and angular wave functions and a formula for the drag on the spheroid is obtained. Numerical work is undertaken to study the variation of the drag with respect to the geometric parameter, material parameter and the permeability parameter of the porous region. An interesting feature of the investigation deals with the presentation of the streamline pattern.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 1; 63-74
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillation systems from hyper-deforms elements
    Autorzy:
    Żach, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/241526.pdf
    Data publikacji:
    2015
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    elastomers
    incompressible materials
    oscillation
    very large reversible deformation
    Opis:
    In construction of machines more and more often are used materials called hyper-elastic, for example: foam structures, materials based on natural and synthetic rubbers and other materials subjecting large deformations. The porous structures are produced on the basis of different synthetic materials, thermoplastic polymers and thermosetting. Subject of porous materials is studied by many scientists around the world. Porous materials (also called cellular plastics, foam plastics or foamed plastics) include gas phase dispersed in a solid phase of polymeric material. Properties of such systems depends on the properties of the polymer warp and cell structure, comprising the gas phase. Approach previously used to anticipate and interpreting the behaviour of the hyper-deformable structures, which use the theory of hyperelastic materials, does not resolve the issue because it only describes the elastic properties. The article presents an original methodology developed structural identification the viscoelastic properties of hyperdeformable materials, and in particular modern construction materials from the group of plastics and composites of elastomers, foams, etc. The aim of the article was an oscillation analysis in systems from elements of incompressible and the description of phenomena setting in during of work of suchlike systems.
    Źródło:
    Journal of KONES; 2015, 22, 4; 335-341
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Magnetohydrodynamic flow of viscous fluid in a slot between fixed surfaces of revolution
    Autorzy:
    Sawicki, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/260433.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
    Tematy:
    laminar flow
    incompressible magnetohydrodynamic flow
    method of perturbation
    Opis:
    The paper considers stationary magnetohydrodynamic flow of viscous fluid in the slot between fixed curvilinear surfaces of revolution exposed to azimuthal magnetic field. To solve the problem, the equations of boundary layer in the curvilinear coordinate system. x,θ,y , were applied. The equations of the boundary layer were solved analytically with the use of the small-parameter method. The formulas determine the field of velocity and pressure.
    Źródło:
    Polish Maritime Research; 2017, 3; 78-85
    1233-2585
    Pojawia się w:
    Polish Maritime Research
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization
    Autorzy:
    Kazhikenova, Saule Sh.
    Powiązania:
    https://bibliotekanauki.pl/articles/1409389.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Navier-Stockes equations
    hydrodynamic
    approximations
    mathematical models
    incompressible melt
    Opis:
    The article presents ε-approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution. It was proved by a theorem on the existence of uniqueness of the hydrodynamics equations’ temperature model’s solution, taking into account energy dissipation. There was implemented the Galerkin method to study the Navier-Stokes equations, which provides the study of the boundary value problems correctness for an incompressible viscous flow both numerically and analytically. Approximations of stationary and non-stationary models of the hydrodynamics equations were constructed by a system of Cauchy-Kovalevsky equations with a small parameter ε. There was developed an algorithm for numerical modelling of the Navier-Stokes equations by the finite difference method.
    Źródło:
    Archives of Control Sciences; 2021, 31, 2; 307-332
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Hyperelastic polynomial models in plastics behaviour analyses
    Autorzy:
    Żach, P
    Powiązania:
    https://bibliotekanauki.pl/articles/246289.pdf
    Data publikacji:
    2013
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    incompressible materials
    elastomers
    oscillation
    very large reversible deformations
    vibration
    Opis:
    The issue of vibration damping occurs in many mechanical problems in the operation of various devices, in the automotive industry engineering, aerospace. In the case where damping by selection of the masses and dimensions is not possible due to various reasons or for other reasons it was abandoned, vibration dampers are used. Minimization of adverse impact of dynamic interaction effects is an important research and technical problem. Passive energy absorbers used today (complex of bumpers, passenger lifts buffers typically allows to the safe dissipation of energy within a certain range of loads. In the case of high-impact loading variability is desirable to use an adaptive energy absorption system capable of rapid change their dynamic characteristics. The main issue in the analysis of interactions impact of dynamic loads on objects is dispersion (dissipation) of kinetic energy during impact. In constructions of polymer composite structures the sources of energy dissipation are: matrix of polystructural viscoelasticity, morphology of material, defect of structure, thermoplastic and viscoplastic dumping. In construction of machines more and more often be practical used materials name hyper-elastic. To description of elastic proprieties it’s possible to use the worked out theories well in which the most important they are the multinomial models and them special coincidence: Mooney’s – Rivlin’s, Yeoh’s. In this paper, is presented numerical behaviour analyses materials with large deformation.
    Źródło:
    Journal of KONES; 2013, 20, 1; 381-386
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The hyperdeform materials in systems of vibrations machines
    Autorzy:
    Żach, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/246701.pdf
    Data publikacji:
    2012
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    incompressible materials
    elastomers
    oscillation
    very large reversible deformations
    vibration
    Opis:
    In construction of machines more and more often be practical used materials name hyper-elastic for example: foamy structures, materials of base natural and synthetic rubbers and another of large reversible deformations. To description of elastic proprieties, it is possible to use the worked out theories well in which the most important they are the multinomial models and them special coincidence: Mooney-Rivlin, Yeoh and Ogden. Precise description propriety in questions dissipation the energy, dumping of vibration is a fault currently. The aim of the article is the analysis oscillation in systems from elements of incompressible and the description of phenomena setting during of work of such like systems. In this paper, is presented built methodology of elasticity propriety materials with large deformation. An assumption is a dissipation function we have present in analogous figure to elasticity function, well known with theory of hyperelastic materials. A description of model of internal damping was proposed with the proof the influence of component part of polynomial: figure and volumetric. The numeric permissive on comparison of received conception of description of hyperelastic material worked out in support about theoretical foundations with results of experimental investigations analyses' be become executed.
    Źródło:
    Journal of KONES; 2012, 19, 2; 587-590
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids
    Autorzy:
    Sokołowski, J.
    Stebel, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/206105.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    shape optimization
    shape gradient
    incompressible viscous fluid
    Navier-Stokes equations
    Opis:
    We study the shape differentiability of a cost function for the flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of the obstacle we express the shape gradient of the cost function which can be subsequently used to improve the initial design.
    Źródło:
    Control and Cybernetics; 2011, 40, 4; 1077-1097
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical Analysis of the Problem of Flow Past a Cylindrical Body Applying the R-Functions Method and The Galerkin Method
    Autorzy:
    Lamtyugova, S.N.
    Sidorov, M. V.
    Powiązania:
    https://bibliotekanauki.pl/articles/410652.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    viscous incompressible fluid
    flow problem
    R-functions method
    Galerkin method
    Opis:
    The article considers the stationary problem of viscous incompressible fluid flow past a cylindrical body. For solving the problem it is proposed a numerical method, based on the joint use of R-functions method and the Galerkin method. The computational experiment has been conducted for the task of flow past square cylinder for different Reynolds numbers.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 3; 43-50
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Lattice Boltzmann method for fluid mixing: a comparison with the finite element method
    Autorzy:
    Egidi, N.
    Misici, L.
    Piergallini, R.
    Tosi, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/1955715.pdf
    Data publikacji:
    2004
    Wydawca:
    Politechnika Gdańska
    Tematy:
    lattice Boltzmann method
    incompressible viscous fluid mixing
    Reynolds number
    numerical simulation
    Opis:
    In this article we study three-dimensional mixing of an incompressible viscous fluid subjected to the force of rotating blades in a vessel, with a low Reynolds number. The results obtained with the lattice Boltzmann method are compared with the ones previously obtained using the finite element method. All the qualitative and quantitative parameters of the two simulations agree.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2004, 8, 1; 5-15
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Calculation of viscous incompressible flow around an aerofoil using a modified velocity correction method
    Autorzy:
    Kosma, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/1965150.pdf
    Data publikacji:
    2005
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Navier-Stokes equation
    incompressible viscous flows
    velocity correction method
    flows over aerofoils
    Opis:
    The two-dimensional unsteady motion of viscous incompressible fluid around an aerofoil at a large angle of attack has been computed. A modified velocity correction method splitting the velocity field has been designed to solve this problem. First, a tentative velocity field is determined from the equations of momentum conservation for explicit gradients of computational pressure. Then, the Neumann problem for the Poisson equation is solved to estimate the computational pressure, and velocity components are corrected. Test calculations have been made for the case of flow around the NACA 0012 aerofoil with an incidence of 34 degrees. The domain outside the aerofoil was transformed into a canonical one using conformal mapping. Computations were made on 100×100 and 100×200 grids for Reynolds numbers of Re=400, 600 and 1000. Comparison with numerical and experimental data reported in the literature has shown that the method is suitable for simulating 2D external viscous flows.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2005, 9, 1; 37-52
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Initial boundary value problems for vortex motion of an ideal fluid in bounded domains
    Autorzy:
    Szmidt, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/241010.pdf
    Data publikacji:
    2001
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    vortex motion
    incompressible perfect fluid
    bounded domains
    boundary value problems
    water wave
    Opis:
    The paper deals with the problem of vortex motion of an incompressible perfect fluid in bounded domains. The research is confined to chosen cases of steady velocity fields within rectangular, circular and elliptic regions with rigid boundaries. The solution to the initial-value problem of the fluid flow for the assumed velocity fields is the primary object of this paper. It is demonstrated that individual particles of the fluid have their own periods of motion and thus, one should be careful in describing such problems by means of discrete methods, especially in the Lagrangian variables. The problem discussed has its origin in numerical analysis of water waves by means of the finite difference or the finite element method.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 1; 19-33
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Incompressible SPH Model for Simulating Violent Free-Surface Fluid Flows
    Autorzy:
    Staroszczyk, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/241132.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    gravity water wave
    free surface
    incompressible flow
    Lagrangian description
    smoothed particle hydrodynamics
    Opis:
    In this paper the problem of transient gravitational wave propagation in a viscous incompressible fluid is considered, with a focus on flows with fast-moving free surfaces. The governing equations of the problem are solved by the smoothed particle hydrodynamics method (SPH). In order to impose the incompressibility constraint on the fluid motion, the so-called projection method is applied in which the discrete SPH equations are integrated in time by using a fractional-step technique. Numerical performance of the proposed model has been assessed by comparing its results with experimental data and with results obtained by a standard (weakly compressible) version of the SPH approach. For this purpose, a plane dam-break flow problem is simulated, in order to investigate the formation and propagation of a wave generated by a sudden collapse of a water column initially contained in a rectangular tank, as well as the impact of such a wave on a rigid vertical wall. The results of simulations show the evolution of the free surface of water, the variation of velocity and pressure fields in the fluid, and the time history of pressures exerted by an impacting wave on a wall.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2014, 61, 1-2; 61-83
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis
    Autorzy:
    Haslinger, J.
    Malek, J.
    Stebel, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970130.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal shape design
    paper machine headbox
    incompressible non-Newtonian fluid
    algebraic turbulence model
    Opis:
    We study a shape optimization problem for a paper machine headbox which distributes a mixture of water and wood fibers in the paper manufacturing process. The aim is to find a shape which a priori ensures the given velocity profile on the outlet part. The mathematical formulation leads to an optimal control problem in which the control variable is the shape of the domain representing the header, the state problem is represented by the generalised Navier-Stokes system with nontrivial boundary conditions. The objective of this paper is to prove the existence of an optimal shape.
    Źródło:
    Control and Cybernetics; 2005, 34, 1; 283-303
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Comparative analysis of numerical simulations of blood flow through the segment of an artery in the presence of stenosis
    Autorzy:
    Shaikh, Fozia
    Shaikh, Asif Ali
    Hincal, Evren
    Qureshi, Sania
    Powiązania:
    https://bibliotekanauki.pl/articles/24201504.pdf
    Data publikacji:
    2023
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    incompressible
    isothermal
    blood flow
    stenosis
    finite element method
    izotermiczność
    przepływ krwi
    zwężenie
    metoda elementów skończonych
    Opis:
    A mathematical model is developed to study the characteristics of blood flowing through an arterial segment in the presence of a single and a couple of stenoses. The governing equations accompanied by an appropriate choice of initial and boundary conditions are solved numerically by Taylor Galerkin’s time-stepping equation, and the numerical stability is checked. The pressure, velocity, and stream functions have been solved by Cholesky’s method. Furthermore, an in-depth study of the flow pattern reveals the separation of Reynolds number for the 30 and 50% blockage of single stenosis and 30% blockage of multi-stenosis. The present results predict the excess pressure drop across the stenosis site than it does for the inlet of the artery with single and multiple stenosis and the increase in the velocity is observed at the center of the artery.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 49--61
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multiblock parallel computation of an incompressible 3D flow in turbomachines
    Autorzy:
    Papierski, A.
    Rabiega, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1954540.pdf
    Data publikacji:
    1999
    Wydawca:
    Politechnika Gdańska
    Tematy:
    numerical simulations
    turbomachinery
    incompressible flow
    3D Navier-Stockes solver
    Navier-Stokes solver
    parallel computing
    Opis:
    A finite volume numerical method for the prediction of a fluid flow in complex geometries such as turbomachinery channels has been parallelized using a domain decomposition approach. A mathematical formulation of a 3-D incompressible steady flow has been presented on the basis of the N-S equations in a grid-oriented co-ordinate system with contravariant velocity components. A parallelized pressure-based implicit algorithm with discretization on a staggered grid has been developed. A message exchange system with a boundary exchange, developed by the authors, has been described. Exemplary calculations have been carried out for a laminar flow through a curved duct and for an inviscid flow through a stage of the centrifugal pump. A good agreement has been obtained in both the cases. Despite considerable simplification that has been introduced in the flow through the pump stage, the computations have shown nearly the same pressure rise in the stage as the measurements. Further directions of numerical investigations of a flow through turbomachines, including in particular those devoted to pressure losses related to the rotor-stator interaction, have been mentioned.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 1999, 3, 1; 39-52
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mathematical Modeling and Numerical Analysis of Nonstationary Plane-Parallel Flows of Viscous Incompressible Fluid by R-Functions and Galerkin Method
    Autorzy:
    Artyukh, A.
    Sidorov, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/411247.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    nonstationary flow
    incompressible fluid
    stream function
    method of successive approximation
    R-functions method
    Galerkin method
    Opis:
    This paper is dedicated to nonstationary plane-parallel flows of viscous incompressible fluid in finite simply connected domains. Theorem of the solution uniqueness is presented. The method of successive approximation, the Galerkin method and the R-functions method are used to obtain the numerical solution, which was tested on the problem with known solution.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 3; 3-11
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion
    Autorzy:
    Mucha, Piotr
    Zajączkowski, Wojciech
    Powiązania:
    https://bibliotekanauki.pl/articles/1208168.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    anisotropic Sobolev space
    Navier-Stokes equations
    local existence
    sharp regularity
    incompressible viscous barotropic self-gravitating fluid
    Opis:
    The local-in-time existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion is proved. We show the existence of solutions with lowest possible regularity for this problem such that $u\in W^{2,1}_r(\widetilde{{\mitΩ}}^T)$ with r>3. The existence is proved by the method of successive approximations where the solvability of the Cauchy-Neumann problem for the Stokes system is applied. We have to underline that in the $L_p$-approach the Lagrangian coordinates must be used. We are looking for solutions with lowest possible regularity because this simplifies the proof and decreases the number of compatibility conditions.
    Źródło:
    Applicationes Mathematicae; 2000, 27, 3; 319-333
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic response of a spherical ballistic casing loaded explosively to current movement of boundary conditions limiting surfaces
    Dynamiczna reakcja kulistej osłony balistycznej obciążonej wybuchowo na bieżący ruch powierzchni granicznych warunków brzegowych
    Autorzy:
    Włodarczyk, E.
    Zielenkiewicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/210679.pdf
    Data publikacji:
    2011
    Wydawca:
    Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
    Tematy:
    dynamika
    osłona balistyczna
    obciążenie wybuchowe
    materiał osłony sprężyście nieściśliwy
    dynamics
    ballistic casing
    explosive load
    incompressible material
    Opis:
    Dynamic fields of: displacements, strains, and stresses in a spherical thick-walled ballistic casing loaded internally by the pressure of detonation products were studied. The casing material was assumed to be homogenous, isotropic, and elastically incompressible. It turns out that this kind of casing loaded as mentioned above oscillates radially with specific angular frequency, alike the mechanical system with one degree of freedom. Two mathematical models of the studied problem were considered: the linear model, in which boundary conditions were applied to the initial position of limiting surfaces of the casing (Lagrangian coordinates), and the non-linear model, taking into account the movement of casing limiting surfaces in boundary conditions (Eulerian coordinates). For the linear model, the analytic closed form solution to the problem was obtained. In case of very small elastic strains, less than 1%, the results obtained for this model are convergent to the non-linear solution. Only in this range of strains, it can be used in engineering calculations. For larger strains, the errors resulting from the linearization of the problem are of the order of dozen and more per cent. The linearization of the problem distorts quantitative and qualitative view of casing dynamic parameters.
    Zbadano dynamiczne pola: przemieszczeń, odkształceń i naprężeń w kulistej grubościennej osłonie balistycznej, obciążonej wewnętrznie ciśnieniem produktów detonacji materiału wybuchowego. Założono, że materiał osłony jest jednorodny izotropowy i sprężyście nieściśliwy. Okazuje się, że taka osłona pod wymienionym obciążeniem drga radialnie z określoną częstością kołową, podobnie jak układ mechaniczny o jednym stopniu swobody. Rozpatrzono dwa modele matematyczne badanego zagadnienia: liniowy, w którym warunki brzegowe lokalizowano na początkowym położeniu powierzchni granicznych osłony (współrzędne Lagrange'a) i nieliniowy, uwzględniający ruch granicznych powierzchni osłony w warunkach brzegowych (współrzędne Eulera). Dla modelu liniowego uzyskano analityczne zamknięte rozwiązanie problemu. W przypadku bardzo małych odkształceń sprężystych, mniejszych od 1% otrzymuje się z niego wyniki zbieżne z rozwiązaniem nieliniowym. Tylko w tym przedziale odkształceń można go stosować w inżynierskich obliczeniach. Dla większych odkształceń błędy wynikające z linearyzacji problemu są rzędu kilkunastu i więcej procent. Linearyzacja zagadnienia zniekształca ilościowy i jakościowy obraz dynamicznych parametrów osłony.
    Źródło:
    Biuletyn Wojskowej Akademii Technicznej; 2011, 60, 4; 139-159
    1234-5865
    Pojawia się w:
    Biuletyn Wojskowej Akademii Technicznej
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some remarks on the concept of stream tubes for numerical simulations of complex fluid flows - applications
    Autorzy:
    Clermont, J.
    Normandin, M.
    Radu, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/206139.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    lepkosprężystość
    linia prądu
    przekształcenie
    symulacja numeryczna
    constitutive equations
    domain decomposition
    incompressible fluid
    stream tubes
    streamlines
    transformations
    viscoelasticity
    Opis:
    This paper presents new theoretical elements for numerical simulation of two- and three-dimensional flows, based on the concept of streamlines and domain decomposition. The so-called "stream-tube method", considered previously particularly for flows inolving open streamlines, is extended to general streamline comfigurations. It is shown how local transformation functions may be defined in order to simulate flows of complex fluids, notably those requiring evaluation of particle time history. The specific features (for example : mass conservation, simplicity in handling time-dependent constitutive equations) of the stream-tube methods previously investigated numerically are still preserved in the new formulation. An example of calculations is given in the case of the two-dimensional flow of a Newtonian fluid between two eccentric cylinders where results are found to be consistent with literature data.
    Źródło:
    Control and Cybernetics; 2000, 29, 2; 535-553
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A dynamically adaptive lattice Boltzmann method for thermal convection problems
    Autorzy:
    Feldhusen, K.
    Deiterding, R.
    Wagner, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/331394.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    lattice Boltzmann method
    adaptive mesh refinement
    thermal convection
    incompressible
    metoda siatkowa Boltzmanna
    adaptacyjne zagęszczanie siatki
    konwekcja termiczna
    Opis:
    Utilizing the Boussinesq approximation, a double-population incompressible thermal lattice Boltzmann method (LBM) for forced and natural convection in two and three space dimensions is developed and validated. A block-structured dynamic adaptive mesh refinement (AMR) procedure tailored for the LBM is applied to enable computationally efficient simulations of moderate to high Rayleigh number flows which are characterized by a large scale disparity in boundary layers and free stream flow. As test cases, the analytically accessible problem of a two-dimensional (2D) forced convection flow through two porous plates and the non-Cartesian configuration of a heated rotating cylinder are considered. The objective of the latter is to advance the boundary conditions for an accurate treatment of curved boundaries and to demonstrate the effect on the solution. The effectiveness of the overall approach is demonstrated for the natural convection benchmark of a 2D cavity with differentially heated walls at Rayleigh numbers from 103 up to 108. To demonstrate the benefit of the employed AMR procedure for three-dimensional (3D) problems, results from the natural convection in a cubic cavity at Rayleigh numbers from 103 up to 105 are compared with benchmark results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 735-747
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations
    Autorzy:
    Roubicek, T.
    Troltzsch, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/970527.pdf
    Data publikacji:
    2003
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie strumieniem danych
    stabilność Lipschitza
    incompressible viscous fluids
    flow control
    first and second order optimality conditions
    Lipschitz stability
    Opis:
    An optimal control problem with quadratic cost functional for the steady-state Navier-Stokes equations with no-slip boundary condition is considered. Lipschitz stability of locally optimal controls with respect to certain perturbations of both the cost functional and the equation is proved provided a second-order sufficient optimality condition holds. For a sufficiently small Reynolds number, even global Lipschitz stability of the unique optimal control is shown.
    Źródło:
    Control and Cybernetics; 2003, 32, 3; 683-705
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Pressure stabilized finite elements simulation for steady and unsteady Newtonian fluids
    Autorzy:
    Elhanafy, A.
    Guaily, A.
    Elsaid, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/122595.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    unsteady incompressible viscous flow
    pressure stabilization technique
    equal low-order finite elements
    Galerkin least squares
    przepływ lepki
    stabilizacja ciśnienia
    Opis:
    A numerical simulation of an incompressible viscous flow using the finite element method is presented. In this study, the pressure stabilization technique is suggested for the treatment of the incompressibility constraint for both steady and unsteady flow cases. To the best of the authors’ knowledge, the pressure stabilization technique is used for steady flows only. The proposed technique allows for equal low-order interpolation polynomials to be used for all variables which circumvent the so-called LBB compatibility condition without pressure checker boarding and solution instabilities. Results are obtained for two benchmark problems, namely, lid-driven cavity flow and the vortex-shedding behind a circular cylinder. The results are compared with published numerical and experimental works with an apparent degree of success.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 17-26
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Homotopy simulation of non-Newtonian Spriggs fluid flow over a flat plate with oscillating motion
    Autorzy:
    Ray, A. K.
    Vasu, B.
    Gorla, R. S. R.
    Powiązania:
    https://bibliotekanauki.pl/articles/265238.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przepływ nieściśliwy
    przepływy Stokes'a
    płyn nienewtonowski
    incompressible flow
    oscillatory plate
    Stokes second problem
    HAM
    non-Newtonian Spriggs fluid
    Opis:
    An incompressible flow of a non-Newtonian Spriggs fluid over an unsteady oscillating plate is investigated using the Homotopy Analysis Method (HAM). An analytic solution of sine and cosine oscillations of the plate has been obtained. The similarity transformation is introduced to reduce the governing partial differentia equations into a single non-linear dimensionless partial differential equation. The effects of the power index of Spriggs fluid and convergence control parameter of HAM for the flow are studied extensively. The range of the convergence control parameter for convergence of series solution for different values of the power index of Spriggs fluid is obtained. The solution for a Spriggs fluid is noticeably different from the solution obtained for a Newtonian fluid. The influences of the shear thinning and shear thickening fluid on the velocity profile are shown graphically. The transient flow effect is higher for non-Newtonian Spriggs fluid than that of a Newtonian fluid. It is also observed that the interval to reach the steady state for the cosine case is less than the sine case. The applications of Stokes’ second problem have been widely found in the variety of fields of biomedical, medical, chemical, micro and nanotechnology.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2019, 24, 2; 359-385
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    SPH - a comparison of neighbor search methods based on constant number of neighbors and constant cut-off radius
    Autorzy:
    Wróblewski, P.
    Kopeć, M.
    Boryczko, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/1933174.pdf
    Data publikacji:
    2007
    Wydawca:
    Politechnika Gdańska
    Tematy:
    SPH
    simulations
    incompressible fluids
    constant cut-off radius method
    constant number of neighbors method
    breaking dam
    side gap
    time effectiveness
    Opis:
    Two methods of neighbor search for the SPH algorithm are presented, based on a constant number of neighbors and a constant cut-off radius. First, feasible methods of comparison were analyzed. Then, the two selected methods were compared visually and computationally. Considering the use of the SPH algorithm for simulating incompressible fluids, the obtained results suggest that the method with a constant cut-off radius is better than that with a constant number of neighbors. The simulation results of both methods are practically indistinguishable, while the computational costs favor one of them.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2007, 11, 3; 273-283
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Wpływ ruchu powierzchni przyłożenia warunków brzegowych na dynamikę kulistej osłony balistycznej obciążonej wewnętrznie ciśnieniem produktów detonacji mieszaniny wybuchowej
    Influence of movement of boundary conditions application surfaces on dynamics of a spherical ballistic casing loaded internally by pressure of detonation products of an explosive mixture
    Autorzy:
    Włodarczyk, E.
    Zielenkiewicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/210388.pdf
    Data publikacji:
    2009
    Wydawca:
    Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
    Tematy:
    dynamika kulistej osłony balistycznej
    wewnętrzne obciążenie wybuchowe
    materiał osłony sprężyście nieściśliwy
    dynamics of spherical ballistic casing
    internal explosive load
    elastically incompressible material of casing
    Opis:
    Zbadano dynamiczne pola: przemieszczeń, odkształceń i naprężeń w kulistej grubościennej osłonie balistycznej, obciążonej wewnętrznie ciśnieniem produktów detonacji materiału wybuchowego. Założono, że materiał osłony jest jednorodny izotropowy i sprężyście nieściśliwy. Okazuje się, że taka osłona pod wymienionym obciążeniem drga radialnie z określoną częstością kołową, podobnie jak układ mechaniczny o jednym stopniu swobody. Rozpatrzono dwa modele matematyczne badanego zagadnienia: liniowy, w którym warunki brzegowe lokalizowano na początkowym położeniu powierzchni granicznych osłony (współrzędne Lagrange'a) i nieliniowy, uwzględniający ruch granicznych powierzchni osłony w warunkach brzegowych (współrzędne Eulera). Dla modelu liniowego uzyskano analityczne zamknięte rozwiązanie problemu. W przypadku bardzo małych odkształceń sprężystych, mniejszych od 1% otrzymuje się z niego wyniki zbieżne z rozwiązaniem nieliniowym. Tylko w tym przedziale odkształceń można go stosować w inżynierskich obliczeniach. Dla większych odkształceń błędy wynikające z linearyzacji problemu są rzędu kilkunastu i więcej procent. Linearyzacja zagadnienia zniekształca ilościowy i jakościowy obraz dynamicznych parametrów osłony.
    Dynamic fields of: displacements, strains and stresses in a spherical thick-walled ballistic casing loaded internally by the pressure of high explosive detonation products were studied. The casing material is assumed to be homogenous, isotropic and elastically incompressible. It turns out that this kind of casing loaded as mentioned above oscillates radially with determined angular frequency, likewise the mechanical system of one degree of freedom. Two mathematical models of studied problem were considered: the linear model, in which boundary conditions were applied to the initial position of limiting surfaces of casing (Lagrangian coordinates), and the nonlinear model, taking into account the movement of casing limiting surfaces in boundary conditions (Eulerian coordinates). For the linear model, the analytic closed solution to the problem was obtained. In case of very small elastic strains, less than 1%, the results obtained for this model are convergent to the nonlinear solution. Only in this range of the strains it can be used for engineering calculations. For larger strains, the errors resulting from the linearization of the problem are of the order of dozen and more per cent. The linearization of the problem distorts quantitative and qualitative view of dynamic parameters of casing.
    Źródło:
    Biuletyn Wojskowej Akademii Technicznej; 2009, 58, 2; 313-335
    1234-5865
    Pojawia się w:
    Biuletyn Wojskowej Akademii Technicznej
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamika grubościennej kulistej osłony obciążonej wewnętrznym ciśnieniem zmiennym w czasie
    Dynamics of thick-walled spherical casing loaded with variable in time internal pressure
    Autorzy:
    Włodarczyk, E.
    Zielenkiewicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/210255.pdf
    Data publikacji:
    2007
    Wydawca:
    Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
    Tematy:
    dynamika kulistej osłony grubościennej
    drgania wymuszone
    wewnętrzne ciśnienie impulsowe
    materiał osłony nieściśliwy
    dynamics of thick-walled spherical casing
    forced vibrations
    pulsed internal pressure
    incompressible casing material
    Opis:
    Zbadano problem radialnych drgań grubościennej osłony kulistej, obciążonej udarowo wewnętrznym ciśnieniem impulsowym. Założono, że materiał osłony jest sprężyście nieściśliwy. Przy takim uproszczeniu uzyskano zamknięte analityczne rozwiązanie zagadnienia dynamiki osłony kulistej w ramach liniowej teorii sprężystości. Okazuje się, że osłona kulista wykonana z materiału nieściśliwego, podobnie jak rura [5], obciążona wewnętrznie udarowo, zachowuje się jak układ o jednym stopniu swobody. Częstotliwość kołowa drgań własnych osłony kulistej jest kilkakrotnie większa od częstotliwości rury o tej samej średnicy wewnętrznej i grubości ścianki.
    The problem of radial vibrations of thick-walled spherical casing, loaded with variable in time internal pressure was studied. We assumed that the casing material is incompressible. Furthermore, the linear elasticity theory was used in these considerations. By means of these simplifications, the analytical solution of the dynamics of thick-walled spherical casing loaded with an internal pressure has been obtained. This solution may be used for estimation of strength of the spherical ballistic casings applied to explosively driven specimens in the ring test. Moreover, the results shown in this paper are the contribution to the vibration theory of continuous engineering systems.
    Źródło:
    Biuletyn Wojskowej Akademii Technicznej; 2007, 56, 2; 123-145
    1234-5865
    Pojawia się w:
    Biuletyn Wojskowej Akademii Technicznej
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical simulation of channel flow over a skewed equilateral cavity
    Autorzy:
    Kamel, Abanoub G.
    Haraz, Eman H.
    Hanna, Sarwat N.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839759.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    finite difference method
    incompressible flow
    channel flow
    lid-driven
    shear-driven
    skewed cavity
    Navier-Stokes equations
    równanie Naviera-Stokesa
    przepływ nieściśliwy
    metoda różnic skończonych
    przepływ kanałowy
    Opis:
    In this paper, an incompressible, two-dimensional (2D), time-dependent, Newtonian, laminar, and internal channel fluid flow over a skewed equilateral cavity is simulated using the finite difference method (FDM) and alternating direction implicit (ADI) technique. Navier-Stokes equations are solved numerically in stream function-vorticity formulation. The goal of tackling this problem depends on its academic significance by studying the difference between lid-driven and shear-driven cavity flows in terms of the formation of Moffatt eddies at the sharp corner, also to obtain the length and intensity ratios of these counter-rotating vortices. The value of velocity components along the centerlines of the skewed cavity was revealed at low and intermediate Reynolds numbers (Re), typically (Re = 200 and 2000) at two different skew angles of mainly 30° and 45°. Likewise, the blocked-off regions’ method is used to deal with the geometry of the skewed cavity especially the sharp corners. Furthermore, as Re increases, the main vortex approaches the skewed cavity center and the counter-rotating vortices get bigger in size and intensity, and their number increases.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 29-43
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Space-time Taylor-Hood elements for incompressible flows
    Czaso-przestrzenne elementy Tylora- Hooda dla nieściśliwych przepływów
    Autorzy:
    Pacheco, Douglas R. Q
    Steinbach, Olaf
    Powiązania:
    https://bibliotekanauki.pl/articles/29520293.pdf
    Data publikacji:
    2019
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    computational fluid dynamics
    finite element method
    space-time methods
    incompressible flows
    stable finite elements
    obliczeniowa dynamika płynów
    metoda elementów skończonych
    metody czasoprzestrzenne
    przepływy nieściśliwe
    stabilna metoda elementów skończonych
    Opis:
    Space-time variational methods differ from time-stepping schemes by discretising the whole space-time domain with finite elements. This offers a natural framework for flow problems in moving domains and allows simultaneous parallelisation and adaptivity in space and time. For incompressible flows, the usual approach is to employ the same polynomial order for velocity and pressure, which requires the use of stabilisation techniques to compensate for the inf-sup deficiency of such pairs. In the present work, we extend to the space-time formulation the idea of the popular Taylor-Hood element for the (Navier-)Stokes equations. By using quadratic interpolation for velocity and linear for the pressure, in both space and time, we attain a stable finite element method which provides optimal convergence for pressure, velocity and stresses.
    Przestrzenno-czasowe metody wariacyjne wymagają dyskretyzacji metodą elementów skończonych całej domeny przestrzenno czasowej i tym różnią się od metod wykorzystującej schematy kroków czasowych. To podejście dostarcza naturalnych struktur dla problemów przepływu w poruszających się obszarach i pozwala na równoczesne zrównoleglanie i adaptację zarówno w przestrzeni jak i w czasie. Typowym rozwiązaniem dla przepływów nieściśliwych jest zastosowanie tego samego stopnia wielomianu dla prędkości i ciśnienia, co wymaga wprowadzenia metod stabilizacji w celu skompensowania niedoboru infimum-supremum takich par. W niniejszej pracy rozszerzono sformułowanie przestrzenno czasowe o ideę elementu Taylora-Hooda dla równań (Naviera-)Stokesa. Poprzez zastosowanie kwadratowej interpolacji dla prędkości i liniowej interpolacji dla ciśnienia, zarówno w przstrzeni jak i w czasie, uzyskano stabilną metodę elementów skończonych dającą optymalną zbieżność dla ciśnienia, prędkości i naprężeń.
    Źródło:
    Computer Methods in Materials Science; 2019, 19, 2; 64-69
    2720-4081
    2720-3948
    Pojawia się w:
    Computer Methods in Materials Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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