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Modeling of Water Flows around a Circular Cylinder with the SPH Method

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Języki publikacji
EN
Abstrakty
EN
The paper describes the SPH modeling of a plane problem of fluid flow around a rigid circular cylinder. In the model considered, the cylinder is placed in a rectangular fluid domain at a certain distance from a horizontal plane boundary, and it is subjected to fluid flow forces. The fluid motion is induced by a piston type generator. The generator - fluid system starts to move from rest at a certain moment of time. The work aims at a discrete description of the fluid flow around the cylinder and, at the same time, calculation of the pressure distribution along the circumference of the cylinder and the resultant of the pressure on the cylinder. In order to solve the initial value problem considered, a new SPH formulation of boundary conditions on the cylinder surface is proposed which match the physical condition for the fluid velocity at this boundary. For a viscous fluid, an approximate description of the stress tensor is formulated which allows to reduce the differentiation of field functions to the first order in calculating the shear forces in the SPH approach.
Twórcy
autor
  • Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Koscierska 7, 80-328 Gdansk, Poland
  • Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Koscierska 7, 80-328 Gdansk, Poland
Bibliografia
  • Ataie-Ashtiani B., Shobeyri and Farhadi L. (2008) Modified incompressible SPH method for simulating free surface problems, Fluid Dynamics Research, 40, 637-661.
  • Bonet J. and Lok T.-S. L. (1999) Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations, Comp. Methods in Appl. Mech. Engrg., 180, 97-115.
  • Colagrossi A. and Landrini M. (2003) Numerical simulation of interfacial flows by smoothed particle hydrodynamics, J. Comp. Phys., 191 (2), 448-475.
  • Dalrymple R. A. and Rogers B. D. (2006) Numerical modeling of water waves with the SPH Method, Coastal Engineering, 53, 141-147.
  • Gomez-Gesteira M., Cerqueiro D., Crespo C. and Dalrymple R. A. (2005), Green water overtopping analysed with a SPH model, Ocean Engineering, 32, 223-238.
  • Grenier N., Antuono M., Colagrossi A., Le Touze D. and Alessandrini B. (2009) An Hamiltonian interface SPH formulation for multi-fluid and free surface flows, J. Computational Physics, 228, 8380-8393.
  • Hu X. Y. and Adams N. A. (2006) A multi-phase SPH method for macroscopic and mesoscopic flows, J. Computational Physics, 213, 844-861.
  • Landau L. D. and Lifszyc J. M. (2009) Hydrodynamika (in Polish), PWN, Warszawa.
  • Liu G. R. and Liu M. B. (2009) Smoothed Particle Hydrodynamics: A Mesh-free Particle Method,World Scientific, Singapore.
  • Lo E. Y. M. and Shao S. (2002) Simulation of near-shore solitary wave mechanics by an incompressible SPH method, Applied Ocean Research, 24, 275-286.
  • Monaghan J. J. and Gingold R. A. (1983) Shock Simulation by the Particle Method SPH, J. of Computational Physics, 52, 374-389.
  • Monaghan J. J. (1992) Smoothed Particle Hydrodynamics, Annual Rev. Astrophysics, 30, 543-574.
  • Monaghan J. J. (2005) Smoothed Particle Hydrodynamics, Reports on Progress in Physics, 68, 1703-1759.
  • Monaghan J. J. and Kajtar J. B. (2009) SPH particle boundary forces for arbitrary boundaries, Computer Physics Communications, 180, 1811-1820. [Web of Science]
  • Monaghan J. J. (2012) Smoothed Particle Hydrodynamics and Its Diverse Applications, Ann. Rev. Fluid Mech., 44, 323-346.
  • Morris J. P., Fox P. J. and Zhu Y. (1997) Modeling Low Reynolds Number Incompressible Flows Using SPH, J. Computational Physics, 136, 214-226.
  • Staroszczyk R. (2010) Simulation of Dam-Break Flow by a Corrected Smoothed Particle Hydrodynamics Method, Archives of Hydro-Engineering and Environmental Mechanics, 57 (1), 61-79.
  • Toro E. F. (1997) Rieman Solvers and Numerical Methods for Fluid Dynamics, Springer-Verlag, Berlin, Heidelberg.
  • Wilde P. and Wilde M. (2001) On the generation of water waves in a flume, Archives of Hydro-Engineering and Environmental Mechanics, 48 (4), 69-83.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4afd6560-a5f5-4d56-9c62-b5f5f2085b57
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