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Wyświetlanie 1-15 z 31
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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
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