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Wyświetlanie 1-5 z 5
Tytuł:
Approximated boundary conditions of the equation of diffusion
Autorzy:
Zima, P.
Powiązania:
https://bibliotekanauki.pl/articles/241388.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Opis:
The paper focuses on boundary conditions in mathematical physics equations. These equations describe the processes of pollutants' migration. The emphasis is put on the influence of boundary conditions' approximation on the solution of one-dimensional advection-dispersion equation. Analytical and numerical solutions were used as a basis for the theoretical consideration. The research included the following methods: `distant boundary' method, rejection of diffusion flux in the boundary profile, rejection of `the near field' and solution of mass or energy balance equation. The research afforded possibilities for quantitative and qualitative identification of the influence of boundary conditions' approximation methods on the equation solution inside domain. The derived formulas made it possible to estimate the margin of error introduced by the simplified method. The formulas were presented in the form of nomograms.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2002, 49, 2; 71-95
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Whirling System of Water Exchange in Breeding Pools
Autorzy:
Matej, K.
Pawliczka, I.
Sawicki, J. M.
Wielgat, P.
Zima, P.
Powiązania:
https://bibliotekanauki.pl/articles/241520.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
sea mammal breeding
sealarium
water circulation
breeding pools
Opis:
To create proper living conditions for sea mammals kept in closed systems, one has to make sure that the characteristics of breeding pools, such as their shape, dimensions, the facing of the walls and bottom, as well as the quality and motion of water, resemble as closely as possible the natural environment of the animals. An appropriate system of water exchange plays a very important role here. A complete exchange of water is time-consuming, expensive and troublesome, so it can be performed only periodically and should be supported by a supplementary continuous exchange. This operation improves water quality and can create a proper velocity field in breeding pools. The breeding pools investigated in the present study are located in a sealarium in Hel (Poland), which belongs to the Institute of Oceanography of the Gdansk University. Tracer measurements, carried out in these reservoirs made it possible to evaluate the intensity of continuous water exchange. It was found that this intensity was insufficient (as evidenced by large dead zones in the pools and short detention time), and therefore alterations to the existing system were proposed (i.e. a tangential position of the inlet and a centrally situated outlet). On the basis of a simplified model of circulative water flow, it was shown that the altered hydraulic system can considerably improve the situation.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2016, 63, 4; 253-263
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Comparison of Simplified Two-dimensional Flow Models Exemplified by Water Flow in a Cavern
Autorzy:
Prybytak, D.
Zima, P.
Powiązania:
https://bibliotekanauki.pl/articles/241287.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
potential flow
Stokes flow
Navier-Stokes flow
BEM
OpenFOAM
Opis:
The paper shows the results of a comparison of simplified models describing a two-dimensional water flow in the example of a water flow through a straight channel sector with a cavern. The following models were tested: the two-dimensional potential flow model, the Stokes model and the Navier-Stokes model. In order to solve the first two, the boundary element method was employed, whereas to solve the Navier-Stokes equations, the open-source code library OpenFOAM was applied. The results of numerical solutions were compared with the results of measurements carried out on a test stand in a hydraulic laboratory. The measurements were taken with an ADV probe (Acoustic Doppler Velocimeter). Finally, differences between the results obtained from the mathematical models and the results of laboratory measurements were analysed.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2017, 64, 3-4; 141-154
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical Simulations and Tracer Studies as a Tool to Support Water Circulation Modeling in Breeding Reservoirs
Autorzy:
Zima, P.
Powiązania:
https://bibliotekanauki.pl/articles/241289.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
breeding reservoir hydraulics
water circulation
tracer study
mathematical modeling
kinematics models
Opis:
The article presents a proposal of a method for computer-aided design and analysis of breeding reservoirs in zoos and aquariums. The method applied involves the use of computer simulations of water circulation in breeding pools. A mathematical model of a pool was developed, and a tracer study was carried out. A simplified model of two-dimensional flow in the form of a biharmonic equation for the stream function (converted into components of the velocity vector) was adopted to describe the flow field. This equation, supplemented by appropriate boundary conditions, was solved numerically by the finite difference method. Next, a tracer migration equation was solved, which was a two-dimensional advection-dispersion equation describing the unsteady transport of a non-active, permanent solute. In order to obtain a proper solution, a tracer study (with rhodamine WT as a tracer) was conducted in situ. The results of these measurements were compared with numerical solutions obtained. The results of numerical simulations made it possible to reconstruct water circulation in the breading pool and to identify still water zones, where water circulation was impeded.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2014, 61, 3-4; 217--229
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two-dimensional vertical Reynolds-Averaged Navier-Stokes equations versus one-dimensional Saint-Venant model for rapidly varied open channel water flow modelling
Autorzy:
Szydłowski, M.
Zima, P.
Powiązania:
https://bibliotekanauki.pl/articles/241158.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
mathematical modelling
Reynolds-averaged Navier-Stokes equations
Saint-Venant equations
free surface flow
rapidly varied flow
dam-break problem
Opis:
The paper concerns mathematical modelling of free surface open channel water flow. In order to simulate the flow two models are used -- two-dimensional vertical Reynolds-Averaged Navier-Stokes equations and one-dimensional Saint-Venant equations. The former is solved with SIPMLE algorithm of finite difference method using Marker and Cell technique to trace a free surface movement. The latter is solved using the finite volume method. The dam-break (water column collapse) problem on horizontal bottom is investigated as a test case. The calculated results are compared with each other. The numerical simulations are examined against laboratory experiment presented by Koshizuka et al (1995). The possibility of using the described models to simulate rapidly varied flow is discussed.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2006, 53, 4; 295-309
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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