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    Wyświetlanie 1-7 z 7
    Tytuł:
    Boundary problem for equations of steady gradually varied flow in open channels
    Autorzy:
    Szymkiewicz, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/241107.pdf
    Data publikacji:
    2001
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    differential equations
    steady flow
    gradually varied flow
    open channels
    Opis:
    In this paper the problem of solution of ordinary differential equations describing a steady, gradually varied flow is discussed. It is shown that, apart from the initial problem usually solved for open channels, the formulation of the boundary problem is necessary when water levels are imposed at ends of channel. This approach is the mathematically correct formulation of the solution problem for steady, gradually varied flow equations. It enables us to determine directly the water profile and discharge for a single channel, as well as for channel network, instead of the trial and error method usually used. Moreover the formulation of boundary problem with respect to the Manning coefficient and lateral inflow is presented. To solve the listed problems the finite differences method is used.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 4; 23-37
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Comparison of Average Energy Slope Estimation Formulas for One-dimensional Steady Gradually Varied Flow
    Autorzy:
    Artichowicz, W.
    Mikos-Studnicka, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/241083.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    open channel
    steady flow
    gradually varied flow
    standard step method
    energy slope
    Opis:
    To find the steady flow water surface profile, it is possible to use Bernoulli’s equation, which is a discrete form of the differential energy equation. Such an approach requires the average energy slope between cross-sections to be estimated. In the literature, many methods are proposed for estimating the average energy slope in this case, such as the arithmetic mean, resulting in the standard step method, the harmonic mean and the geometric mean. Also hydraulic averaging by means of conveyance is commonly used. In this study, water surface profiles numerically computed using different formulas for expressing the average slope were compared with exact analytical solutions of the differential energy equation. Maximum relative and mean square errors between numerical and analytical solutions were used as measures of the quality of numerical models. Experiments showed that all methods gave solutions useful for practical engineering purposes. For every method, the numerical solution was very close to the analytical one. However, from the numerical viewpoint, the differences between the methods were significant, as the errors differed up to two orders of magnitude.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2014, 61, 3-4; 89--109
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Hydraulic investigation of venturi flumes
    Autorzy:
    Sawicki, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/240998.pdf
    Data publikacji:
    2001
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    hydraulic investigation
    venturi flumes
    standing-wave-flume
    sewage-disposal-plants
    gradually varied flow
    Opis:
    Venturi flume is a very popular measuring device. A particularly attractive version of such a device is a standing-wave-flume, as this enables determination of liquid discharge by one-point depth measurement only. However, it is necessary to underline, that some essential simplifications must be introduced into the theoretical description of this case. The paper contains the results of the control investigations of six existing Venturi flumes, installed in three functioning sewage-disposal-plants in Poland. It was shown, that some important mistakes can be committed, when somebody plans such a flume. These mistakes worsen the flow measurement accuracy. In conclusion it was stated that the standing-wave-flume must be designed very carefully, with the use of gradually-varied flow equations. An alternative, which is worth using, is a Venturi flume with two-point depth measurement.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 1; 115-130
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The pollutant transport equation for a steady, gradually varied flow in an open channel network: a solution of high accuracy
    Autorzy:
    Szymkiewicz, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/1933160.pdf
    Data publikacji:
    2007
    Wydawca:
    Politechnika Gdańska
    Tematy:
    steady gradually varied flow
    advection-diffusion equation
    splitting technique
    integral of convolution
    Opis:
    The paper is concerned with solving the transport pollutant problem for a steady, gradually varied flow in an open channel network. The 1D advective-diffusive transport equation is solved using the splitting technique. An analytical solution of the linear advective-diffusive equation in the form of an impulse response function is used to solve the advection-diffusion part of the governing equation. This approach, previously applied in solutions of the advection-diffusion equation for a single channel, is extended to a channel network. Numerical calculations are only required to compute the integral of convolution. The finite difference method is used to solve the second part of the governing equation, containing the source term. The applied approach has considerable advantages, especially appreciable in the case of advection-dominated transport with large gradients of concentration, since it generates no numerical dissipation or dispersion. The flow parameters are obtained via solution of the steady, gradually varied flow equation. In the final non-linear system of algebraic equations obtained through approximation of the ordinary differential equation, the depths at each cross-section of channels and the discharge at each branch of the network are considered as unknowns. The system is solved using the modified Picard iteration, which ensures convergence of the iterative process for a steady, gradually varied flow solved for both looped and tree-type open channel networks.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2007, 11, 4; 365-382
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Two-dimensional shallow water model for rapidly and gradually varied flow
    Autorzy:
    Szydłowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/241012.pdf
    Data publikacji:
    2001
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    Two-dimensional shallow water model
    rapidly varied flow
    gradually varied flow
    shallow water equations
    eddy viscosity terms
    Opis:
    The numerical solution of full shallow water equation (SWE) including the eddy viscosity terms is presented. In the first part of the paper the solution of the homogeneous part of SWE for discontinuous, rapidly varied flow is reported. The method presented here is based on Roe idea of numerical fluxes of mass and momentum. The numerical solution of SWE on unstructured, triangular mesh is reported and the influence of geometry approximation is examined. The imposing of the boundary condition on a triangular numerical mesh is described in detail. The consistent with finite volume method (FVM) approximation of the viscous part of SWE is presented. The procedure similar to the finite element method (FEM) is used to calculate the function derivatives inside the finite volumes. The specific difficulties of source terms numerical integration are studied and some methods to avoid these problems are presented. To integrate the bottom friction term the splitting technique is implemented. The computed results are compared to analytical solution of Saint-Venant equations, experimental data and results available in the literature. Good agreement between these results is observed.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 1; 35-61
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Impact of Energy Slope Averaging Methods on Numerical Solution of 1D Steady Gradually Varied Flow
    Autorzy:
    Artichowicz, W.
    Prybytak, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/240952.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    standard step method
    numerical integration
    initial-value problem
    ordinary differential equation
    open channel
    steady gradually varied flow
    energy slope
    Opis:
    In this paper, energy slope averaging in the one-dimensional steady gradually varied flow model is considered. For this purpose, different methods of averaging the energy slope between cross-sections are used. The most popular are arithmetic, geometric, harmonic and hydraulic means. However, from the formal viewpoint, the application of different averaging formulas results in different numerical integration formulas. This study examines the basic properties of numerical methods resulting from different types of averaging.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2015, 62, 3-4; 101-119
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Impact of maintenance of floodplains of the Vistula River on high water levels on the section from Włocławek to Toruń
    Wpływ stanu utrzymania terenów zalewowych Wisły na poziomy wysokich wód na odcinku od Włocławka do Torunia
    Autorzy:
    Gąsiorowski, D.
    Szydłowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/397545.pdf
    Data publikacji:
    2013
    Wydawca:
    ENERGA
    Tematy:
    floodplain inundation
    gradually varied steady flow
    flow capacity of the river
    mathematical modeling
    zatopienie terenu zalewowego
    przepływ ustalony wolnozmienny
    przepustowość rzeki
    modelowanie matematyczne
    Opis:
    This article describes the methodology of hydraulic calculations to estimate the water levels in open channels for steady gradually varied flow. The presented method has been used to analyse the water level on the Vistula River from Włocławek cross-section to Toruń cross-section. The HEC-RAS modelling system has been used for parameterization of the river channel and flood¬plains, as well as for flow simulation. The results obtained have been the basis for assessing the impact of maintenance of floodplains on water level during maximum discharges.
    W artykule opisano metodykę obliczeń hydraulicznych umożliwiających wyznaczenie układu zwierciadła wody w korytach otwartych w warunkach wolnozmiennego przepływu ustalonego. Wybraną metodę wykorzystano do analizy układu zwierciadła wody w rzece Wiśle na odcinku od przekroju Włocławek do przekroju Toruń. Do parametryzacji koryta i terenów zalewowych rzeki, jak również do symulacji przepływu, wykorzystano program obliczeniowy HEC-RAS. Na podstawie uzyskanych wyników oceniono wpływ stanu utrzymania terenów zalewowych na położenie zwierciadła w trakcie występowania przepływów maksymalnych.
    Źródło:
    Acta Energetica; 2013, 3; 112-120
    2300-3022
    Pojawia się w:
    Acta Energetica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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