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Wyświetlanie 1-15 z 109
Tytuł:
Parallel and distributed seismic wave-field modeling
Autorzy:
Danek, T.
Franczyk, A.
Powiązania:
https://bibliotekanauki.pl/articles/1964208.pdf
Data publikacji:
2004
Wydawca:
Politechnika Gdańska
Tematy:
wave field modeling
PC clusters
finite difference method
Opis:
Elastic or acoustic wave-field modeling is an important part of seismic exploration. It can be used during the planning, processing and interpretation stages of seismic investigation. First attempts of using wave-field modeling were undertaken in the seventies by Alford, Kelly and others (Alford R M, Kelly K R and Boore D M 1974 Geophysics 39 (6) 834; Kelly K R, Ward R W, Treitel S and Alford R M 1976 Geophysics 41 2). These attempts were restricted by the limitations of computers at that time. Even now, computation for models of the standard exploration scale could last many hours, and many days in case of longer recording times. One of the best methods to overcome this disadvantage is parallelization of computations (Niccanna C and Bean C J 1997 Computers and Geosciences 23 (7) 771; Villareal A and Scales J A 1997 Computers in Physics 11 (4) 388). This paper presents the results of distributed parallelization of elastic and acoustic wave-field modeling based on a Parallel Virtual Machine.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2004, 8, 4; 573-581
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite Difference Analysis of Surface Wave Scattering by Underwater Rectangular Obstacles
Autorzy:
Szmidt, K.
Powiązania:
https://bibliotekanauki.pl/articles/241339.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
water wave
scattering of waves
finite difference method
Opis:
This paper deals with the problem of the scattering of surface water waves by underwater obstacles. The main goal of the investigations is to estimate the efficiency of such structures in protecting sea shelf zones from open sea waves. A useful measure of the protection is the ratio of the square of the amplitude of the transmitted wave to the square of the amplitude of the arriving wave. The problem is formulated in terms of the finite difference method. It is shown that the discrete approach to the problem leads to eigenvalue problems for two matrices resulting from the discrete description. As compared to analytical formulation, the discrete method may be convenient in application to unsteady problems and obstacles of complicated geometry.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2010, 57, 3-4; 179-198
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Loads exerted by floating ice on a cylindrical structure
Autorzy:
Staroszczyk, R.
Powiązania:
https://bibliotekanauki.pl/articles/241206.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
floating ice
plate
rheology
creep buckling
finite difference method
Opis:
The paper is concerned with the problem of interaction between a coherent floating ice cover and a fixed, rigid, vertically-walled circular cylinder. The ice cover, of horizontal dimensions considerably larger than the size of the structure, is assumed to be driven against the structure by wind and water current drag stresses. The floating ice cover is modelled as a plate that is subject to the action of horizontal forces and transverse bending due to the reaction of underlying water. During an interaction event, of a quasi-static character, the ice is modelled as a creeping material the behaviour of which is described by a viscous flow law with two, bulk and shear, viscosities. The viscosities change dramatically in their magnitudes during a transition from converging to diverging deformation of the material to reflect the fact that floating ice offers much less resistance to tensile rather than compressive stresses. By numerical simulations carried out by a finite difference method, the influence of the ice rheological parameters on the distribution of contact stresses at the ice - structure interface is investigated. Two types of boundary conditions at the interface, free-slip and no-slip, are considered, and their effects on the loads sustained by the structure are compared. In addition, creep buckling of the ice sheet near the structure is analysed to determine the critical time at which ice starts to fail due to exceeding its flexural strength at given loading conditions.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2005, 52, 1; 39-58
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic response of three-layered annular plate with imperfections
Autorzy:
Pawlus, D.
Powiązania:
https://bibliotekanauki.pl/articles/178521.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
sandwich
annular plate
dynamic stability
imperfections
finite difference method
finite element method
Opis:
This paper presents the imperfection sensitivity of annular plate with three-layered structure. The plate composed of thin elastic facings and a thicker elastic core is loaded in facing plane. The classical issue of a three-layered plate was solved for dynamic deflection problem using the approximation methods: orthogonalization and finite difference. The solution includes the axisymmetric and asymmetric plate modes of the dynamic stability loss. The evaluation of the rate of plate sensitivity to imperfection of plate preliminary geometry has been enriched by the analysis of plate models built of finite elements. The ABAQUS program has been used. The numerous calculation results in the form of deflection characteristics, buckling modes, values of critical parameters create the view of response of dynamic plate structure with different rate of imperfection and linear in time loading growth, too.
Źródło:
Studia Geotechnica et Mechanica; 2014, 36, 4; 13-25
0137-6365
2083-831X
Pojawia się w:
Studia Geotechnica et Mechanica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence of parameters of core Bingham material on critical behaviour of three-layered annular plate
Autorzy:
Pawlus, D.
Powiązania:
https://bibliotekanauki.pl/articles/178962.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
annular sandwich plate
electrorheological model
dynamic stability
finite difference method
Opis:
The paper presents the dynamic response of annular three-layered plate subjected to loads variable in time. The plate is loaded in the plane of outer layers. The plate core has the electrorheological properties expressed by the Bingham body model. The dynamic stability loss of plate with elastic core is determined by the critical state parameters, particularly by the critical stresses. Numerous numerical observations show the influence of the values of viscosity constant and critical shear stresses, being the Bingham body parameters, on the supercritical viscous fluid plate behaviour. The problem has been solved analytically and numerically using the orthogonalization method and finite difference method. The solution includes both axisymmetric and asymmetric plate dynamic modes.
Źródło:
Studia Geotechnica et Mechanica; 2017, 39, 4; 99-110
0137-6365
2083-831X
Pojawia się w:
Studia Geotechnica et Mechanica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Heat flux formulation for 1D dual-phase lag equation
Autorzy:
Majchrzak, E.
Kałuża, G.
Powiązania:
https://bibliotekanauki.pl/articles/122784.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
dual phase lag equation
finite difference method
thin metal film
Opis:
The thin metal film subjected to the ultra-short laser pulse is analyzed. Heat transfer processes occurring in the domain considered are described by the dual-phase lag model in which the unknown is the heat flux, not, as usual, temperature. This approach is especially convenient in the case of Neumann boundary conditions, which are taken into account here. The mathematical model supplemented by initial conditions is solved using the explicit scheme of finite difference method. In the final part of the paper the examples of computations are shown and the conclusions are formulated.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 1; 71-78
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic stability of three-layered annular plate under lateral time-dependent load
Zagadnienie stateczności dynamicznej trójwarstwowych płyt pierścieniowych poddanych w płaszczynie obciążeniom zmiennym w czasie
Autorzy:
Pawlus, D.
Powiązania:
https://bibliotekanauki.pl/articles/281256.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
sandwich
annular plate
dynamic stability
increasing load
finite difference method
FEM
Opis:
This paper presents solutions to the problem of behaviour of three-layered annular plates loaded by compressive stress quickly increasing in time acting on the inner plate edge. The finite difference method and finite element method have been used for solving the problem. An axially-symmetrical form of loss of dynamic stability of the plate with clamped inner and outer edges and with a symmetrical transverse structure of layers composed of thin facings and a thicker foam core has been analysed. Using the finite difference method, the basic system of differential equations enabling numerical calculation of plate deflections was formulated. In the finite element method the computational model of an annular sector of the plate fulfilling conditions of the sandwich plate with a soft core has been built. The results of dynamic numerical calculations have been presented in the form of time histories of plate maximum deflection and velocity of deflection. Calculation results of examplary plates differing in thickness and stiffness of the foam core enable qualitative observations of the critical and supercritical plate behaviours with the quantitative evaluation of values of critical parameters: time, deflection and load determined using the criterion presented by Volmir (1972).
W pracy przedstawione zostały rozwiązania wykorzystujące metodę różnic skończonych oraz metodę elementów skończonych trójwarstwowych płyt pierścieniowych obciążonych szybko narastającym w czasie ciśnieniem działającym na wewnętrzny brzeg płyty. Rozwiązania płyt wraz z przykładowymi wynikami obliczeń przedstawiono dla przypadku osiowosymetrycznej postaci utraty stateczności plyty dwustronnie utwierdzonej przesuwnie o symetrycznym układzie warstw poprzecznych: zewnętrznych cienkich okładzinach i piankowym, miękkim, grubszym rdzeniu. Wykorzystując metodę różnic skończonych wyprowadzono podstawowy układ równań różniczkowych analizowanej płyty umożliwiający wyznaczanie jej postępujących ugięć w czasie obciążania. W metodzie elementów skończonych zbudowano model obliczeniowy pierścieniowego wycinka płyty zapewniający warunki pracy płyty trójwarstwowej z rdzeniem miękkim. Wyniki obliczeń dynamicznych przedstawiono w postaci charakterystyk maksymalnych ugięć i ich prędkości. Wyniki obliczeń przykładowych płyt różniących się grubością i sztywnością piankowego rdzenia umożliwiają obserwację krytycznych i pokrytycznych zachowań płyt wraz z ilościową oceną wartości parametrów krytycznych: czasu, ugięcia i obciążenia dynamicznego wyznaczonych wykorzystując kryterium podane w pracy Volmira (1972).
Źródło:
Journal of Theoretical and Applied Mechanics; 2005, 43, 2; 385-403
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite difference method determination of the nano-hetero-interface wave-function engineering of inter-subband LASER functionality
Autorzy:
Anagnostakis, E. A.
Powiązania:
https://bibliotekanauki.pl/articles/1954084.pdf
Data publikacji:
2004
Wydawca:
Politechnika Gdańska
Tematy:
finite difference method
Sturm-Liouville eigensystem
nano-hetero-interface wave-function
Opis:
A novel LASER action nano-hetero-structure of the inter-subband, mid-infrared functionality type is designed on the basis of optically pumped dual resonant tunnelling of conductivity electrons within an appropriately energetically determined scheme of five subbands hosted by two communicating asymmetric, approximately rectangular quantum wells (QWs). The upper LASER action level employed is the second excited subband of the nanostructure's back, wider QW and is provided with electrons via resonant tunnelling from the first excited subband of the nanostructure's front QW populated through remotely ignited optical pumping out of the local fundamental subband. The first excited back QW subband functions as the lower LASER action level, directly delivering the received electrons to the local fundamental subband - via fast vertical longitudinal optical phonon scattering - wherefrom they are being recycled back to the nanostructure's front QW fundamental subband by virtue of a second-reverse sense-resonant tunnelling-mediated normal charge transport mechanism. The handling of the de Broglie wave-function problem evolves into a numerical calculation of a Sturm-Liouville eigensystem solved by means of a finite difference method employing an appropriate tridiagonal coefficient matrix.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2004, 8, 3; 385-392
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solutions to boundary value problem for anomalous diffusion equation with Riesz-Feller fractional operator
Numeryczne rozwiązanie zagadnienia brzegowego równania anomalnej dyfuzji z operatorem frakcjalnym Riesza-Fellera
Autorzy:
Ciesielski, M.
Leszczyński, J.
Powiązania:
https://bibliotekanauki.pl/articles/280627.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Riesz-Feller fractional derivative
boundary value problem
Dirichlet conditions
finite difference method
Opis:
In this paper, we present a numerical solution to an ordinary differential equation of a fractional order in one-dimensional space. The solution to this equation can describe a steady state of the process of anomalous diffusion. The process arises from interactions within complex and non-homogeneous background. We present a numerical method which is based on the finite differences method. We consider a boundary value problem (Dirichlet conditions) for an equation with the Riesz-Feller fractional derivative. In the final part of this paper, some simulation results are shown. We present an example of non-linear temperature profiles in nanotubes which can be approximated by a solution to the fractional differential equation.
W pracy zaprezentowano numeryczne rozwiązanie jednowymiarowego równania różniczkowego zwyczajnego niecałkowitego rzędu. Rozwiązanie tego równania może opisywać stan ustalony procesu anomalnej dyfuzji. Proces ten wynika z oddziaływań zachodzących w złożonych i niejednorodnych systemach. Zaprezentowana metoda numeryczna oparta jest na metodzie różnic skończonych. Rozważane było zagadnieriie brzegowe z warunkami Dirichleta dla tego równania z pochodną frakcjalną RieszaFellera. W końcowej części przedstawiono wyniki symulacji. Jako przykład zaprezentowano nieliniowy profil temperatury w nanorurkach, który może być przybliżony przez rozwiązanie frakcjalnego równania różniczkowego.
Źródło:
Journal of Theoretical and Applied Mechanics; 2006, 44, 2; 393-403
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parallel computations of the step response of a floor heater with the use of a graphics processing unit. Part 1: models and algorithms
Autorzy:
Gołębiowski, J.
Forenc, J.
Powiązania:
https://bibliotekanauki.pl/articles/200428.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
air floor heating
step response
implicit finite difference method
parallel computations
GPGPU
Opis:
The article presents a method of computing the step response of an air floor heater. The method implements parallel algorithms on a graphics processing unit. In the analyzed concrete slab heating ducts are placed. Hot air is transferred through them, thanks to which the heat penetrates into the slab. Heat transfer into the environment takes place on the top surface of the floor by natural convection and radiation. The bottom surface of the slab is thermally insulated. A two-dimensional heat equation was discretized with the use of the implicit finite difference method. In order to solve the obtained system of equations, the conjugate gradient method was used. Moreover, in order to examine the possibility of shortening the computations time, the algorithm of this method was implemented on a graphics processing unit. A computer program, using the CUDA parallel computing platform and linear algebra libraries CUBLAS and CUSPARSE, was developed.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 4; 943-948
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The dynamic stability problem of composite annular plates with auxetic properties
Autorzy:
Pawlus, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/38909959.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
auxeticity
auxetic facings
dynamic stability
composite annular plate
threelayered structure
finite difference method
finite element method
Opis:
This paper presents the effect of the auxeticity on the behaviour of a plate subjected to the loss of stability. The plate structure is composed of three layers built of auxetic or conventional facings and a conventional core. The plate is loaded mechanically in the plane of facings with forces increasing in time. The main technique of the problem solution is based on the orthogonalisation and finite differences methods. Selected examples of plates were calculated with the use of the finite difference method. The obtained results allow observing the similarities and differences between plate models, whose structures are built of conventional layers or mixed layers: auxetic-foam-auxetic. Investigations complement the knowledge of the responses of the composite structures with auxetic properties. They show the possibility of using special plate structures whose materials are characterised by the negative value of Poisson’s ratio.
Źródło:
Engineering Transactions; 2023, 71, 3; 329-349
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Implicit scheme of the finite difference method for the second-order dual phase lag equation
Autorzy:
Majchrzak, E.
Mochnacki, B.
Powiązania:
https://bibliotekanauki.pl/articles/280549.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
microscale heat transfer
dual phase lag model
implicit scheme of finite difference method
Opis:
The second-order dual phase lag equation (DPLE) as a mathematical model of the microscale heat transfer is considered. It is known that the starting point determining the final form of this equation is the generalized Fourier law in which two positive constants (the relaxation and thermalization times) appear. Depending on the order of the generalized Fourier law expansion into the Taylor series, different forms of the DPLE can be obtained. As an example of the problem described by the second-order DPLE equation, thermal processes proceeding in the domain of a thin metal film subjected to a laser pulse are considered. The numerical algorithm is based on an implicit scheme of the finite difference method. At the stage of numerical modeling, the first, second and mixed order of the dual phase lag equation are considered. In the final part of the paper, examples of different solutions are presented and conclusions are formulated.
Źródło:
Journal of Theoretical and Applied Mechanics; 2018, 56, 2; 393-402
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of Transient Heat Transfer in a Longitudinal Fin with Functionally Graded Material in the Presence of Magnetic Field using Finite Difference Method
Autorzy:
Sobamowo, M. G.
Oguntala, G. A.
Yinusa, A. A.
Adedibu, A. O.
Powiązania:
https://bibliotekanauki.pl/articles/1046560.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Lorentz force
convective-radiative fin
finite difference method
functionally graded materials
transient response
Opis:
In this study, finite difference method is used for the numerical analysis of the transient heat transfer analysis of a convective-radiative fin with functionally graded materials under the influence of Lorentz force is presented. Three cases of developed nonlinear thermal models of linear, quadratic, exponential and power-law variations of thermal conductivity are considered. The accuracy of the developed numerical code is verified as the results of the numerical solutions established good agreements with the results of the exact analytical solutions. Through the numerical solutions, parametric studies are carried out. From the results, it is shown that increase in radiative and magnetic field parameters as well as in-homogeneity index improve the thermal performance of the fin. Also, the transient responses reveal that the FGM fin with linear-law and power-law function shows the slowest and fastest thermal responses, respectively. This study will provide a very good platform for further studies on the design of extended surfaces where the surrounding fluid is influenced by a magnetic field.
Źródło:
World Scientific News; 2019, 137; 166-187
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Note on radiation conditions for narrow-band random waves generated in fluid of constant depth
Autorzy:
Szmidt, J. K.
Powiązania:
https://bibliotekanauki.pl/articles/241111.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
radiation conditions
narrow-band random waves
semi-infinite layer
fluids
finite difference method
Opis:
In the paper, the generation of narrow-band random waves in a semi-infinite layer of fluid is considered. The problem is formulated in a discrete space of chosen points by means of the finite difference method. The main goal of the investigations is to construct radiation boundary conditions which enable us to replace the infinite fluid area with a finite domain. The investigations are illustrated with experimental results and numerical examples confirming efficiency of the discrete model developed in the paper.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 4; 39-55
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A finite difference method for nonlinear parabolic-elliptic systems of second-order partial differential equations
Autorzy:
Malec, M.
Sapa, L.
Powiązania:
https://bibliotekanauki.pl/articles/255499.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
partial differential equation
parabolic-elliptic system
finite difference method
finite difference scheme
consistence
convergence
stability
error estimate
uniqueness
Opis:
This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions. One part of each system is of the parabolic type (degenerated parabolic equations) and the other of the elliptic type (equations with a parameter) in a cube in R1+n. A suitable finite difference scheme is constructed. It is proved that the scheme has a unique solution, and the numerical method is consistent, convergent and stable. The error estimate is given. Moreover, by the method, the differential problem has at most one classical solution. The proof is based on the Banach fixed-point theorem, the maximum principle for difference functional systems of the parabolic type and some new difference inequalities. It is a new technique of studying the mixed-type systems. Examples of physical applications and numerical experiments are presented.
Źródło:
Opuscula Mathematica; 2007, 27, 2; 259-289
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 109

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