Green water computed with a spline-based collocation method for potential flow

• Autorzy: Trulsen K. , Spjelkavik B. , Mehlum E.
• Języki publikacji: EN

Abstrakty

EN

We present a fully nonlinear method for numerical simulation of the inundation of an arbitrary solid body in large waves. The method is based on potential flow and is therefore expected to break down when wave breaking sets in. The method is expected to be useful to predict the initial phase of inundation and can thus give the flow field as initial condition to some other method more appropriate for the later stages of green water. We employ an artificial tri-harmonic potential inside the solid body in order to avoid introducing singularities in the solution. Spline-based basis potentials are constructed and are used in a collocation spectral method. We illustrate the method for the special case of waves inundating a truncated cylinder.

Słowa kluczowe

EN

green water; potential flow; tri-harmonic function; spline; collocation method

PL

przepływ potencjalny; przepływ; metoda kolokacji

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2002
• Tom: Vol. 7, no 1
• Strony: 107--123
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Trulsen K.

• SINTEF Applied Mathematics P.O. Box 124 Blindern, N-0314 Oslo, Norway

autor

Spjelkavik B.

• SINTEF Applied Mathematics P.O. Box 124 Blindern, N-0314 Oslo, Norway

autor

Mehlum E.

• SINTEF Applied Mathematics P.O. Box 124 Blindern, N-0314 Oslo, Norway

Bibliografia

• [1] Cai X. and Mehlum E. (1996): Two fragments of a method for fully nonlinear simulations of water waves, In: Waves and Nonlinear Processes in Hydrodynamics (B. Gjevik, J. Grue and J.E. Weber, Eds.). - Netherlands: Kluwer, pp.37-50.
• [2] Lanczos C. (1956): Applied analysis. - Englewood Cliffs, N.J., U.S.A.: Prentice Hall.
• [3] Mehlum E. (1997): Splines and ocean wave modelling, In: Numerical Methods and Software Tools in Industrial Mathematics (M. Daehlen and A. Tveito, Eds.). - Boston: Birkhauser; Rensselaer, N.Y., U.S.A.: Hamilton Printing, pp.235-253.
• [4] Zakharov V.E. (1968): Stability of periodic waves of finite amplitude on the surface of a deep fluid. - J. Appl. Mech. Tech. Phys., vol.9, pp. 190-194.