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Wyszukujesz frazę "volume method" wg kryterium: Temat


Tytuł:
The basic closures of fluid mechanics in form characteristic for the Finite Volume Method
Autorzy:
Sobieski, W.
Powiązania:
https://bibliotekanauki.pl/articles/298283.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
finite volume method
balance equations
closures
Opis:
This short article presents all basic “closures” that are needed to supplementation the general set of balance equations in form characteristic for the Finite Volume Method. In subsequent chapters the equation of state, viscous molecular stress tensor, turbulent stress tensor, molecular heat flux, turbulent heat flux and momentum and energy sources were described. This article is a second part of a cycle dedicated for the mathematical basis of Finite Volume Method. The motivation for writing the article follows from the observation that the Finite Volume Method is usually described in greater detail in monographic books, or very briefly in the basic books dedicated to fluid mechanics. This article is an attempt to center justifications of these approaches, so that in the simplest way show the readers the basic knowledge of the so-called Computational Fluid Mechanics. For this reason this article can be treated as a literature review.
Źródło:
Technical Sciences / University of Warmia and Mazury in Olsztyn; 2013, 16(2); 93-107
1505-4675
2083-4527
Pojawia się w:
Technical Sciences / University of Warmia and Mazury in Olsztyn
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mixed convection heat transfer of a nanofluid in a square ventilated cavity separated horizontally by a porous layer and discrete heat source
Autorzy:
Messaoud, Hamdi
Adel, Sahi
Ouerdia, Ourrad
Powiązania:
https://bibliotekanauki.pl/articles/27312228.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
mixed convection
vented cavity
porous layer
finite volume method
Opis:
Laminar mixed convection heat transfer in a vented square cavity separated by a porous layer filled with different nanofluids (Fe3O4, Cu, Ag and Al2O3) has been investigated numerically. The governing equations of mixed convection flow for a Newtonian nanofluid are assumed to be two-dimensional, steady and laminar. These equations are solved numerically by using the finite volume technique. The effects of significant parameters such as the Reynolds number (10 ≤ Re ≤ 1000), Grashof number (103 ≤ Gr ≤ 106 ), nanoparticle volume fraction (0.1 ≤ φ ≤ 0.6), porous layer thickness (0 ≤ γ ≤ 1) and porous layer position (0.1 ≤ δ ≤ 0.9) are studied. Numerical simulation details are visualized in terms of streamline, isotherm contours, and average Nusselt number along the heated source. It has been shown that variations in Reynolds and Darcy numbers have an impact on the flow pattern and heat transfer within a cavity. For higher Reynolds (Re > 100), Grashof (Gr > 105 ) numbers and nanoparticles volume fractions the heat transfer rate is enhanced and it is optimal at lower values of Darcy number (Da = 10−5 ). In addition, it is noticed that the porous layer thickness and location have a significant effect on the control of the heat transfer rate inside the cavity. Furthermore, it is worth noticing that Ag nanoparticles presented the largest heated transfer rate compared to other nanoparticles.
Źródło:
Archives of Thermodynamics; 2023, 44, 2; 87--114
1231-0956
2083-6023
Pojawia się w:
Archives of Thermodynamics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unstructured finite-volume meshes for two-dimensional flow in variably saturated porous media
Autorzy:
Burzyński, K.
Szymkiewicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/1934018.pdf
Data publikacji:
2011
Wydawca:
Politechnika Gdańska
Tematy:
finite volume method
Richards' equation
unsaturated flow
unstructured mesh
Opis:
This paper presents a numerical algorithm for solving the equation describing variably saturated flow in porous media. The algorithm is based on a control volume finite element approach and can be applied to two-dimensional unstructured meshes consisting of triangular elements. Two methods of defining the dual control volume grid are discussed. We also demonstrate that the method of calculating the average permeability at the control volume face significantly influences numerical results.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2011, 15, 3-4; 339-352
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Implicit versus explicit finite volume schemes for extreme, free surface water flow modelling
Autorzy:
Szydłowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/241313.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
general scheme implicit in time
finite volume method
extreme flows
Opis:
One explicit and three implicit finite volume method schemes of the Roe type are presented in the paper. The properties and applicability of these methods for modelling unsteady, rapidly varied, open channel flow are investigated. The schemes are used for numerical simulation of one-dimensional extreme flow described by de Saint-Venant equations. The computational results are compared with each other and an analytical (exact) solution to an idealized dam-break problem. The classical versions of general scheme implicit in time - fully implicit and trapezoidal scheme - are not restricted by a stability condition, like an explicit one, however they add some numerical diffusion and dispersion errors to the solution. The modification of parameter , originally proposed for a box scheme of finite difference method, has improved computational properties of the general one-step implicit scheme. This version of finite volume scheme of the Roe type implicit in time can be recommended for modelling and simulation of transient flows in storm sewers and open channel networks.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2004, 51, 3; 287-303
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the Control Volume Method using the Voronoi polygons for numerical modeling of bio-heat transfer processes
Autorzy:
Ciesielski, M.
Mochnacki, B.
Powiązania:
https://bibliotekanauki.pl/articles/279675.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
bioheat transfer
numerical modeling
Control Volume Method
Voronoi’s diagram
Opis:
In the paper, the problem concerning the numerical modeling of thermal processes in the domain of a biological tissue being in thermal contact with the environment is discussed. The changing ambient temperature causes that the non-steady heat transfer process is con- sidered. The cross-section of the forearm (2D problem) is treated as a non-homogeneous domain in which the sub-domains of skin tissue, fat, muscle and bone are distinguished. From the mathematical point of view, the boundary-initial problem described by the system of energy equations (the Pennes equations), boundary conditions on the external surface of the system, boundary conditions on the surfaces limiting the successive sub-domains and the initial condition is analyzed. At the stage of numerical computations, the Control Volume Method using the Voronoi polygons is applied. In the final part of the paper, examples of computations are shown.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 4; 927-935
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Basic Equations of Fluid Mechanics in form Characteristic of the Finite Volume Method
Podstawowe równania mechaniki płynów w formie charakterystycznej dla metody objętości skończonych
Autorzy:
Sobieski, W.
Powiązania:
https://bibliotekanauki.pl/articles/298275.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
CFD
metoda objętości skończonych
równania bilansowe
finite volume method
balance equations
Opis:
The article presents the derivation of the basic balance equations in form characteristic of the Finite Volume Method. In the following sections the origin of the balance equation of momentum, mass and energy is presented. Next, the conservation equations in vector form are described. The Finite Volume Method is used in Computational Fluid Mechanics for numerical modeling of fluid flows in wide range. The motivation for writing the article was the difficulty in finding short and concise articles on this subject in the literature. The current article is a first part of a cycle dedicated to the mathematical basis of the Finite Volume Method.
W artykule przedstawiono wyprowadzenie podstawowych równań bilansowych w formie charakterystycznej dla metody objętości skończonych. Przedstawiono pochodzenie równania bilansu pędu, masy i energii, następnie równania zachowania w formie wektorowej. Metoda objętości skończonych jest stosowana w tzw. numerycznej mechanice płynów do numerycznego modelowania przepływów płynów w możliwie szerokim zakresie. Motywacją do napisania artykułu była trudność w znalezieniu podobnego rodzaju krótkich i zwięzłych opracowań na ten temat w literaturze. Artykuł jest pierwszą częścią cyklu poświęconego matematycznym podstawom metody objętości skończonych.
Źródło:
Technical Sciences / University of Warmia and Mazury in Olsztyn; 2011, 14(2); 299-313
1505-4675
2083-4527
Pojawia się w:
Technical Sciences / University of Warmia and Mazury in Olsztyn
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical methods of solving equations of hydrodynamics from perspectives of the code FLASH
Autorzy:
Murawski, K.
Lee, D.
Powiązania:
https://bibliotekanauki.pl/articles/202336.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
numerical methods for hyperbolic equations
finite volume method
Godunov-type methods
Opis:
In this paper we review numerical methods for hydrodynamic equations. Internal complexity make numerical solutions of these equations a formidable task. We present results of advanced numerical simulations for a complex system with a use of a publicly available code, FLASH. These results proof that the numerical methods cope very well with this task.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 1; 81-91
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the control volume method in numerical modeling of cryosurgery treatment
Autorzy:
Szopa, R.
Siedlecki, J.
Powiązania:
https://bibliotekanauki.pl/articles/122277.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
bioheat transfer
modeling of cryosurgery treatment
control volume method
przepływ ciepła
Opis:
In the paper the problems of cryosurgery treatment are discussed. In particular the heat exchange between external cylindrical cryoprobe and human tissue is analyzed. The cryoprobe tip temperature changes from the initial temperature to the minimal one and back in a linear way (broken line). Thermophysical parameters determining the thermal properties of tissue can be treated as the temperature-dependent functions. The freezing model bases on the approach called ‘a one domain method’, and in the energy equation called a substitute thermal capacity appears. At the stage of computations the control volume method (CVM) is used. In the final part of paper the examples of computations are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 131-136
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Flow simulations in cross-flow fans using the finite element and finite volume methods
Autorzy:
Sowa, A.
Powiązania:
https://bibliotekanauki.pl/articles/1955710.pdf
Data publikacji:
2004
Wydawca:
Politechnika Gdańska
Tematy:
turbomachinery
cross-flow fan
finite element method
finite volume method
usteady flow analysis
Opis:
Both basic computational fluid dynamics methods: the finite element method (FEM) and the finite volume method (FVM) have been used to simulate flow fields in a cross-flow fan (CFF). A review of previous numerical simulations of flow in CFF's is presented. The theorethical foundations of the applied numerical algorithms and specifications of the computer programs are given. The procedure of computations is described in detail. Computational results are shown in the form of contour and vector velocity and contour pressure plots.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2004, 8, 1; 41-49
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation
Autorzy:
Costa, R.
Machado, G. J.
Clain, S.
Powiązania:
https://bibliotekanauki.pl/articles/330268.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
finite volume method
polynomial reconstruction operator
harmonic operator
biharmonic operator
high order method
Opis:
A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy. First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the solution is obtained by solving a matrix-free problem. An application in elasticity coupling the two operators is presented. We consider a beam subject to a combination of tensile and bending loads, where the main goal is the stress critical point determination for an intramedullary nail.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 529-537
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulations of the water freezing process: numerical benchmarks
Autorzy:
Michałek, T.
Kowalewski, T. A.
Powiązania:
https://bibliotekanauki.pl/articles/1955733.pdf
Data publikacji:
2003
Wydawca:
Politechnika Gdańska
Tematy:
numerical simulation
numerical benchmarks
finite volume method
fixed grid enthalpyporosity method
volume of fluid
solidification
free surface flow
Opis:
Three numerical benchmarks concerning the freezing of water in small enclosures are analysed using the commercial FLUENT code. The first case is a steady-state natural convection in a differentially heated cavity for temperatures near the freezing point. In the second case, the freezing of water in a differentially heated cavity is simulated. The third case describes a simulation of freezing water in the presence of forced convection and a free surface flow. Two finite-differences numerical codes are used to verify results of the FLUENT simulations for the natural convection and solidification in the differentially heated cavity. It is found that the simulation of water solidification requires very fine meshes and short time steps, extending the computational time to the extreme.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2003, 7, 3; 389-408
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulation of water flow in double-porosity soils on unstructured grids with the finite-volume method
Autorzy:
Szymkiewicz, A.
Burzyński, K.
Powiązania:
https://bibliotekanauki.pl/articles/1933157.pdf
Data publikacji:
2007
Wydawca:
Politechnika Gdańska
Tematy:
double-porosity soils
Richards' equation
unsaturated zone
finite volume method
unstructured grid
Opis:
Double-porosity soils consist of two interacting porous systems corresponding to weakly conductive aggregates and highly conductive inter-aggregate regions. The flow of water in such media can be described with a two-scale model obtained by homogenization. The model consists of a single macroscopic equation for the flow in the highly conductive porous system coupled with a number of micro-scale equations for the flow in the weakly conductive aggregates. In this paper we present a numerical algorithm to solve the resulting system of equations for the case of macroscopically two-dimensional flow. It is based on the finite volume approach for unstructured grid of triangular cells. Special attention is paid to the coupling of the micro- and macro-scale equations. An exemplary calculation is presented, concerning infiltration and redistribution of water in a hill-slope of double-porosity structure with cubic aggregates.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2007, 11, 4; 397-410
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solutions of magnetohydrodynamic equations
Autorzy:
Murawski, K.
Powiązania:
https://bibliotekanauki.pl/articles/202271.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
numerical methods for hyperbolic equations
finite volume method
Godunov-type methods
magnetohydrodynamics
Opis:
In this paper we review several mathematical aspects in numerical methods for magnetohydrodynamic equations. The intrinsic complexity and the requirements of the selenoidity condition make numerical solutions of these equations a formidable task. We present results of advanced numerical simulations for a complex system, which reveal that the numerical methods cope very well with this task.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 2; 219-226
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical analysis of turbulent flow around twodimensional bodies using non-orthogonal body-fitted mesh
Autorzy:
Tarafder, M. Shahjada
Mursaline, M. Al
Powiązania:
https://bibliotekanauki.pl/articles/947300.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przepływ turbulentny
objętość
rozkład ciśnienia
turbulent flow
finite volume method
pressure distribution
Opis:
This paper deals with the numerical simulation of a turbulent flow around two-dimensional bodies by the finite volume method with non-orthogonal body-fitted grid. The governing equations are expressed in Cartesian velocity components and solution is carried out using the SIMPLE algorithm for collocated arrangement of scalar and vector variables. Turbulence is modeled by the turbulence model and wall functions are used to bridge the solution variables at the near wall cells and the corresponding quantities on the wall. A simplified pressure correction equation is derived and proper under-relaxation factors are used so that computational cost is reduced without adversely affecting the convergence rate. The numerical procedure is validated by comparing the computed pressure distribution on the surface of NACA 0012 and NACA 4412 hydrofoils for different angles of attack with experimental data. The grid dependency of the solution is studied by varying the number of cells of the C-type structured mesh. The computed lift coefficients of NACA 4412 hydrofoil at different angles of attack are also compared with experimental results to further substantiate the validity of the proposed methodology.
Źródło:
International Journal of Applied Mechanics and Engineering; 2019, 24, 2; 387-410
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of the dike-break problem using finite volume method and splitting technique
Autorzy:
Gąsiorowski, D.
Powiązania:
https://bibliotekanauki.pl/articles/1934027.pdf
Data publikacji:
2011
Wydawca:
Politechnika Gdańska
Tematy:
finite volume method
shallow water equations
approximate Riemann solver
dambreak
dike-break
wave-propagation method
Opis:
In this paper, an approach using the finite volume method (FVM) for the solution of two-dimensional shallow water equations is described. Such equations are frequently used to simulate dam-break and dike-break induced flows. The applied numerical algorithm of the FVM is based on a wave-propagation algorithm, which ensures a stable solution and, simultaneously, minimizes numerical errors. Dimensional decomposition according to the coordinate directions was used to split two-dimensional shallow water equations into one-dimensional equations. Additionally, splitting was also applied with respect to the physical processes. The applied dimensional and physical splitting, together with the wave-propagation algorithm led to an effective algorithm and ensured proper incorporation of source terms into the scheme of the finite volume method. A detailed description of an approximation for numerical fluxes and source terms is presented. The obtained numerical results are compared with analytical solutions, laboratory experiments and other results available in the literature.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2011, 15, 3-4; 251-270
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł

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