PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Simulation of Solitary Wave Mechanics by a Corrected Smoothed Particle Hydrodymamics Method

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper is devoted to numerical modelling of solitary wave propagation phenomena in shallow water of uniform depth. The problem governing equations are solved by applying a corrected smoothed particle hydrodynamics (SPH) method in which standard smoothing kernel functions are modified in such a way that so-called linear reproducing conditions for kernel approximations and their first-order spatial derivatives are satisfied. Numerical performance of the proposed SPH model has been verified by comparing its predictions with analytical results for a solitary wave travelling over the horizontal bottom. Also, the results obtained by applying the corrected SPH method and those given by the standard SPH method, with no kernel correction, are compared. Further, an impact of the solitary wave on a vertical rigid wall is investigated, and finally an interaction of two colliding solitary waves is considered.
Twórcy
  • Institute of Hydro-Engineering, Polish Academy of Sciences, Kościerska 7, 80-328 Gdańsk, Poland, rstar@ibwpan.gda.pl
Bibliografia
  • 1. Antoci C., Gallati M. and Sibilla S. (2007) Numerical simulation of fluid–structure interaction by SPH. Comput. Struct. 85 (11-14), 879–890, DOI: 10.1016/j.compstruc.2007.01.002.
  • 2. Ataie-Ashtiani B., Shobeyri G. and Farhadi L. (2008) Modified incompressible SPH method for simulating free surface problems. Fluid Dyn. Res. 40 (9), 637–661, DOI: 10.1016/j.fluiddyn. 2007.12.001.
  • 3. Batchelor G. K. (1967) An Introduction to Fluid Mechanics. Cambridge University Press, London.
  • 4. Belytschko T., Krongauz Y., Dolbow J. and Gerlach C. (1998) On the completeness of meshfree particle methods. Int. J. Numer. Meth. Eng. 43 (5), 785–819, DOI: 10.1002/(SICI)1097-0207(19981115)43:5.
  • 5. Colagrossi A. and Landrini M. (2003) Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J. Comput. Phys. 191 (2), 448–475, DOI: 10.1016/S0021-9991(03)00324-3.
  • 6. Cummins S. J. and Rudman M. (1999) An SPH projection method. J. Comput. Phys. 152 (2), 584–607, DOI: 10.1006/jcph.1999.6246.
  • 7. Dalrymple R. A. and Rogers B. D. (2006) Numerical modeling of water waves with the SPH method. Coastal Eng. 53 (2-3), 141–147, DOI: 10.1016/j.coastaleng.2005.10.004.
  • 8. Gingold R. A. and Monaghan J. J. (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181, 375–389.
  • 9. Gómez-Gesteira M., Cerqueiro D., Crespo C. and Dalrymple R. A. (2005) Green water overtopping analyzed with a SPH method. Ocean Eng. 32 (2), 223–238, DOI: 10.1016/j.oceaneng.2004.08.003.
  • 10. Li S. and Liu W. K. (2004) Meshfree Particle Methods. Springer, Berlin.
  • 11. Liu G. R. and Liu M. B. (2003) Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World Scientific, Singapore.
  • 12. Lo E. Y. M. and Shao S. (2002) Simulation of near-shore solitary wave mechanics by an incompressible SPH method. Appl. Ocean Res. 24 (5), 275–286, DOI: 10.1016/S0141-1187(03)00002-6.
  • 13. Lucy L. B. (1977) A numerical approach to the testing of the fission hypothesis. Astron. J. 82 (12), 1013–1024.
  • 14. Monaghan J. J. (1992) Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30, 543–574, DOI: 10.1146/annurev.aa.30.090192.002551.
  • 15. Monaghan J.J. (1996) Gravity currents and solitary waves. Physica D 98 (2-4), 523–533.
  • 16. Monaghan J. J. and Kajtar J. B. (2009) SPH particle boundary forces for arbitrary boundaries. Comput. Phys. Comm. 180 (10), 1811–1820, DOI: 10.1016/j.cpc.2009.05.008.
  • 17. Staroszczyk R. (2010) Simulation of dam-break flow by a corrected smoothed particle hydrodynamics method. Arch. Hydro-Eng. Environ. Mech. 57 (1), 61–79.
  • 18. Wehausen J. V. and Laitone E. V. (1960) Surface waves. In: Encyclopedia of Physics (ed. S. Fl¨ugge), vol. IX, Springer, Berlin, pp. 446–778.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT8-0019-0022
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.