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Diffraction Loads on Isolated Vertical Square Cylinder by Trefftz-Type Finite Elements

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper deals with the application of the so-called “frameless” Trefftz-type finite elements to the calculation of diffraction loads on an isolated vertical cylinder with a rectangular cross section. The method is based on the use of a suitable truncated T-complete set of Trefftz functions over individual sub domains linked by means of a least square procedure. The vertex singularities and the Sommerfeld radiation condition are readily incorporated in the trial functions. In order to show the performance of the approach examples of computations of the diffraction loads are presented and compared to those obtained with BEM.
Słowa kluczowe
Rocznik
Strony
79--88
Opis fizyczny
bibliogr. 17 poz.
Twórcy
autor
  • Department of Structural Mechanics, Rzeszów University of Technology
Bibliografia
  • 1. Abramowitz, M., Stegun, I.A., 1965, Handbook of Mathematical Functions, Dover Publications, Inc., New York.
  • 2. Babuśka, I., Sauter, S.A., 1997, Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?, SIAM J. Numer. Anal., 34, 2392-2423.
  • 3. Bettes, P., 1992, lnfinite Elements, Penshaw Press, Sunderland.
  • 4. Colton, D., Kress, R., 1992, Integral equation methods in scattering theory, Wiley, New York.
  • 5. Farhat, C., Harari I., Franca LP., 2001, The discontinuous enrichment method, Comput. Methods Appl. Mech. Engng., 190, 6455-6479.
  • 6. Gerdes, K., 1998, A summary of infinite element formulations for exterior Helmholtz problems, Comput. Methods Appl. Mech. Engng., 164, 95-105.
  • 7. Givoli, D., Patlashenko, I., Keller, J.B., 1997, High-order boundary conditions and finite elements for infinite domains, Comput. Methods Appl. Mech. Engng., 143, 13-39.
  • 8. Harari, I., Barbone, P.E., Slavutin, M., Shalom, R., 1998, Boundary infinite elements for the Helmholtz equation in exterior domains, Int. J. Numer. Meth. Engng, 41, 1105-1131.
  • 9. Harari, I., Hughes, T.J.R, 1992, A cost comparison of boundary element and finite element methods for problems of time-harmonic structural acoustics, Comput. Methods Appl. Mech. Engng., 97, 77-102.
  • 10. Herrera, I., Sabina, F.J., 1978,Connectivity as an alternative to boundary integral equations, Construction of bases, Proc. Nat. Acad. Sci. USA, 75, 2059-2063.
  • 11. lhlenburg, F., 1998, Finite Element Analysis of Acoustic Scattering, Springer.
  • 12. lsaacson, M. de St. Q., 1978, Vertical cylinders of arbitrary section in waves, J. Waterway Port Coastal and Ocean Div., ASCE 104 (WW4), 309-324.
  • 13. Mei, Chiang C., 1992, The Applied Dynamics of Ocean Surface Waves, World Scientific, Singapore.
  • 14. Myers, J.J., Holm, C.H., McAlister, R.F., 1969, Handbook of Ocean and Underwater Engineering, McGraw-Hill Publishing, Inc., New York.
  • 15. Sarpkaya, T., lsaacson, M., 1981, Mechanics of Wave Forces on Offshore Structures, Van Nostrand Reinold, New York.
  • 16. Stojek, M., 1996, Finite T-elements for the Poisson and Helmholtz equation, These no 1491, Ecole Polytechnique Fédérale de Lausanne, Lausanne.
  • 17. Stojek, M., 1998, Least-squares Trefftz-type elements for the Helmholtz equation, Int. J. Numer. Meth. Engng, 41, 831-849.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA1-0005-0031
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