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A Comparison of Simplified Two-dimensional Flow Models Exemplified by Water Flow in a Cavern

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Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
Rocznik
Strony
141--154
Opis fizyczny
Bibliogr. 16 poz., rys., tab.
Twórcy
autor
  • Gdańsk University of Technology, Faculty of Civil and Environmental Engineering, ul. Narutowicza 11/12, 80-952 Gdańsk, Poland
autor
  • Gdańsk University of Technology, Faculty of Civil and Environmental Engineering, ul. Narutowicza 11/12, 80-952 Gdańsk, Poland
Bibliografia
  • Andrews J. M., McLone R. R. (1976) Mathematical modeling, London, Butterworths.
  • Banerjee P. K., Butterfield R. (1981) Boundary Element Methods in Engineering Science, McGraw-Hill, London, New York.
  • Brebbia C. A., Telles J. C. F., Wrobel L. C. (1984) Boundary Element Techniques. Theory and Application in Engineering, Springer-Verlag, Berlin. Heidelberg, New York, Tokio.
  • Cheng A., Cheng D. (2005) Heritage and early history of the boundary element method, Engineering Analysis with Boundary Elements, 29, brak numerów stron, jesli to czasopismo.
  • Erturk E., Corke T. C., Gokcol C. (2005) Numerical Solutions of 2-D Steady Incompressible Driven Cavity Flow at High Reynolds Numbers, International Journal for Numerical Methods in Fluids, 48 (7), 747–774.
  • Hahn M. (2013) Master’s thesis: Investigation of the boundary integral method for Stokes flow, University of Bayreuth, Bayreuth.
  • Hirsch C. (1990) Numerical Computation of Internal and External Flows, volume 2: Computational Methods for Inviscid and Viscous Flows, Wiley, Hoboken.
  • Issa R. I. (1985) Solution of the Implicitly Discretized Fluid Flow Equations by Operator-Splitting, Journal of Computational Physics, 62, 40–65.
  • Landau L. D., Lifshitz E. M. (1959) Fluid Mechanics (Volume 6 of A Course of Theoretical Physics), Pergamon Press.
  • LeVeque R. (1990) Numerical Methods for Conservation Laws, ETH Lectures in Mathematics Series, Birkhauser-Verlag.
  • LeVeque R. (2002) Finite Volume Methods for Hyperbolic Problems, Cambridge University Press.
  • Lisicki M. (2013) Four approaches to hydrodynamic Green’s functions – the Oseen tensors, Institute of Theoretical Physics, Faculty of Physics, University of Warsaw.
  • Meerschaert M. M. (2007) Mathematical Modeling, 3rd ed., Elservier Science.
  • Pozrikidis C. (1992) Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge University Press, Peter Phillips, Cambridge.
  • Tannehill J. C. et al (1997) Computational Fluid Mechanics and Heat Transfer, 2nd ed., Taylor and Francis.
  • Zienkiewicz O. C., Taylor R. L. (2000) The Finite Element Method, Vol. 3. Fluid Dynamics, Butterworth-Heinemann.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-04a8c80f-92c4-4358-88a0-e2295bddc0dd
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