Application of multipoles expansion technique to two-dimensional nonlinear free-surface flows

Journal of Ship Research

Volumn 43, Issue 1, 1999, Pages 1-12

  Graziani, G ^a   Landrini, M ^b  

^a Dipto di Meccanica e Aeronautica   (Italy)

^b ITALIAN SHIP MODEL BASIN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; ITERATIVE METHODS; LAPLACE TRANSFORMS; POLES AND ZEROS; PROBLEM SOLVING;

BOUNDARY INTEGRAL EQUATIONS; EULER-MCLAURIN QUADRATURE FORMULA; MULTIPOLES EXPANSION; UNSTEADY NONLINEAR FREE SURFACE FLOWS;

UNSTEADY FLOW;

EID: 0032652090     PISSN: 00224502     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. BAKER, G. R., MEIRON, D. I., AND ORSZAG, S. A. 1981 Application of a generalized vortex method to nonlinear free surface flows. In 3rd International Conference Numerical Ship Hydrodynamics, 179-191.
2. BASSANINI, P., CASCIOLA, C. M., LANCIA, M. R., AND PIVA R. 1991 A boundary integral formulation for the kinetic field in aerodynamics. Part I. European Journal of Mechanics, B/Fluids, 10(6), 605-627.
3. BRYANT, P. J. 1983 Waves and waves groups in deep water. In Nonlinear Waves, Cambridge University Press, 100-115.
4. CASCIOLA, C. M. AND LANDRINI, M. 1996 Nonlinear long waves generated by a moving pressure disturbance. Journal of Fluid Mechanics, 325.
5. CASCIOLA, C. M. AND PIVA, R. 1990 A boundary integral approach in primitive variables for free surface flows. In Proceedings, 18th Symposium on Naval Hydrodynamics, Washington DC, National Academy of Sciences, 221-238.
6. CLEMENT, A. 1996 Coupling of two absorbing boundary conditions for 2D time-domain simulations of free surface gravity waves. J. of Comp. Phys., 126, 139-151.
7. DOLD, J. W. 1992 An efficient surface integral algorithm applied to unsteady gravity waves. J. Comp. Phys., 103, 90-115.
8. DOLD, J. W. AND PEREGRINE, D. H. 1986 An efficient boundary integral method for steep unsteady water waves. In Numerical Methods for Fluid Dynamics II (K. W. Morton and M. J. Baines, Eds.), Oxford University Press, 671-679.
9. FALTINSEN, O. M. 1977 Numerical solutions of transient nonlinear free-surface motion outside or inside moving bodies. In Proceedings, 2nd International Conference on Num. Ship Hydrodynamics.
10. GREENGARD, L. AND ROKHLIN, V. 1987 A fast algorithm for particle simulations, J. Comput. Phys., 73, 325-348.
11. GRUE, J. 1992 Nonlinear water waves at a submerged obstacle or a bottom topography, Journal of Fluid Mechanics, 244.
12. LANDRINI, M., LUGNI, C., AND BERTRAM, V. 1999 Numerical simulation of the unsteady flow past a hydrofoil. Ship Technology Research, 46, 1, 14-30.
13. LANDRINI, M., RANUCCI, M., CASCIOLA, C. M., AND GRAZIANI, G. 1998a Viscous effects in wave-body interaction. International Journal of Offshore and Polar Engineering, 8(1), 35-45.
14. LANDRINI, M., OSHRI, O., WASEDA, T., AND TULIN, M. P. 1998b Long time evolution of gravity wave systems. 13th International Workshop on Water Waves and Floating Bodies. Hermans Delft, Ed., The Netherlands (29 March-1 April).
15. LONGUET-HIGGINS, M. S. AND COKELET, E. D. 1976 The deformation of steep surface waves on water. I A numerical method of computation. Proceedings of the Royal Society of London A, 350, 1-26.
16. MUSKHELISHVILI, N. I. 1946 Singular Integral Equations. Dover.
17. NABORS, K., KORSMAYER, F. T., LEIGHTON, F. T., AND WHITE, J. 1994 Preconditioned adaptive multipole-accelerated iterative methods for three dimensional first kind integral equations of potential theory. SIAM J. Sci. Comp. 15, 713-735.
18. PHILLIPS, O. M. 1967 Theoretical and experimental studies of gravity wave interactions. Proceedings of the Royal Society of London A, 299, 1-145.
19. ROBERTS, A. J. 1983 A stable and accurate numerical method to calculate the motion of a sharp interface between fluids. IMA J. App. Math., 31, 13-35.
20. ROKHLIN, V. 1985 Rapid solution of integral equations of classical potential theory. J. Comput. Phys., 60, 187-207.
21. SCORPIO, S., BECK, R., AND KORSMAYER, F. T. 1997 Nonlinear water wave computations using a multipole accelerated, desingularized method. In Proceedings, 21st Symposium on Naval Hydrodynamics, Trondheim, Norway.
22. SIDI, A. AND ISRAELI, M. 1988 Quadrature methods for periodic singular and weakly singular fredholm integral equations. J. Scien. Comp., 3, 201-231.
23. TELSTE, J. G. 1987 Inviscid flow about a cylinder rising to a free surface. Journal of Fluid Mechanics, 182, 149-168.
24. TSAI, W. AND YUE, D. K. P. 1996 Computation of nonlinear free-surface flows. Annu. Rev. Fluid Mech., 28, 249-278.
25. TULIN, M. P. AND WASEDA, T. 1998 Laboratory observations of wave group evolution, including breaking effects, to appear in Journal of Fluid Mechanics.
26. VAN DOMMELEN, L. AND RUNDENSTEINER, E. A. 1989 Fast, adaptive summation of point forces in the two-dimensional Poisson equation. J. Comp. Phys., 83, 126-147.
27. WANG, P., YAO, Y., AND TULIN, M. P. 1995 An efficient numerical tank for nonlinear water waves, based on the multi-subdomain approach with BEM. Int. J. Num. Meth. Fluids, 20, 1315-1336.
28. YUEN, H. C. AND LAKE, B. M. 1982 Nonlinear dynamics of deepwater gravity waves. Advanced Applied Mechanics, 22, 67-229.