Fast multipole algorithm for wave diffraction/radiation problems and its application to VLFS in variable water depth and topography

Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE

Volumn 5, Issue , 2001, Pages 321-327

  Utsunomiya, Tomoaki ^a   Watanabe, Eiichi ^a   Nishimura, Naoshi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; COMPUTATION THEORY; DIFFRACTION; GREEN'S FUNCTION; HYDROELASTICITY;

VERY LARGE FLOATING STRUCTURES (VLFS); WAVE DIFFRACTION;

HYDRODYNAMICS;

EID: 0344740969     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. Barnes, J. and Hut, P. (1986), A hierarchical O(NlogN) force-calculation algorithm, Nature 324, 446-449.
2. Barrett,R. et al. (1994), Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM.
3. Fukui, T. and Katsumoto, J. (1997), Fast multipole algorithm for two dimensional Helmholz equation and its application to boundary element method, Proc. of 14th Japan National Symp. on Boundary Element Methods, 81-86 (in Japanese).
4. Fukui, T. and Katsumoto, J. (1998), Fast multipole boundary element method accelerated by FFT in two dimensional scattering problems, Proc. of 15th Japan National Symp. on Boundary Element Methods, 93-98 (in Japanese).
5. Greengard, L. and Rokhlin, V. (1987), A fast algorithm for particle simulations, J. Comput. Phys. 73, 325-348.
6. Greengard, L. (1988), The Rapid Evaluation of Potential Fields in Particle Systems, MIT Press.
7. Kashiwagi, M. (1998), A new solution method for hydroelastic problems of a very large floating structure in waves, Proc. 17th Int. Conf. on Offshore Mech. & Arctic Eng., OMAE98-4332.
8. Korsmeyer, T., Phillips, J. and White, J. (1996), A precorrected-FFT algorithm for accelerating surface wave problems, Proc. 11th IWWWFB, Hamburg.
9. Korsmeyer, T., Klemas, T., White, J. and Phillips, J. (1999), Fast hydrodynamic analysis of large offshore structures, Proc. 9th Int. Offshore & Polar Eng. Conf., 27-34.
10. Newman, J.N. (1985), Algorithms for the free-surface Green function, J. Eng. Maths. 19, 57-67.
11. Ohmatsu, S. (1998), Numerical calculation of hydroelastic behavior of pontoon type VLFS in waves, Proc. 17th Int. Conf. on Offshore Mech. & Arctic Eng., OMAE98-4333.
12. Ohtsubo, H. & Sumi, Y. (2000), Proc. 14th Int. Ship & Offshore Structures Congress (ISSC 2000), Vol. 1, 195-252.
13. Rokhlin, V. (1983), Rapid solution of integral equations of classical potential theory, J. Comput. Phys. 60, 187-207.
14. Teng, B. and Eatock Taylor, R. (1995), New higher-order boundary element methods for wave diffraction/radiation, Appl. Ocean Res. 17, 71-77.
15. Utsunomiya, T., Watanabe, E. and Eatock Taylor, R. (1998), Wave response analysis of a box-like VLFS close to a breakwater, Proc. 17th Int. Conf. on Offshore Mech. & Arctic Eng., OMAE98-4331.
16. Watson, G.N. (1944), A Treatise on the Theory of Bessel Functions, second ed., Cambridge Univ. Press.