Accelerated Higher Order Boundary Element Method for Wave Diffraction/Radiation Problems and Its Applications

Proceedings of the International Offshore and Polar Engineering Conference

Volumn 12, Issue , 2002, Pages 305-312

  Utsunomiya, Tomoaki ^a   Watanabe, Eiichi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Diffraction; Fast multipole method; Higher order boundary element method; Hydroelasticity; Radiation; Very large floating structure; VLFS

Indexed keywords

ALGORITHMS; BENCHMARKING; BOUNDARY ELEMENT METHOD; COMPUTATIONAL COMPLEXITY; GREEN'S FUNCTION; HYDROELASTICITY; INTEGRAL EQUATIONS; PROBLEM SOLVING; RADIATION; VECTORS; WAVE EFFECTS;

FAST MULTIPOLE METHOD; HIGHER ORDER BOUNDARY ELEMENT METHOD; VERY LARGE FLOATING STRUCTURES;

OFFSHORE STRUCTURES;

EID: 0348113953     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(N log N) Force-Calculation Algorithm," Nature, Vol 324, pp 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 14th Japan National Symp on Boundary Element Methods, pp 81-86 (in Japanese).
4. Greengard, L, and Rokhlin, V (1987). "A Fast Algorithm for Particle Simulations," J Comput Phys, Vol 73, pp 325-348.
5. Greengard, L (1988). "The Rapid Evaluation of Potential Fields in Particle Systems," MIT Press.
6. Korsmeyer, T, Phillips, J, and White, J (1996). "A Precorrected-FFT Algorithm for Accelerating Surface Wave Problems," Proc 11th Int Workshop on Water Waves and Floating Bodies, Hamburg.
7. Korsmeyer, T, Klemas, T, White, J, and Phillips, J (1999). "Fast Hydrodynamic Analysis of Large Offshore Structures," Proc 9th Int Offshore and Polar Eng Conf, pp 27-34.
8. Kring, D, Korsmeyer, T, Singer, J, and White, J (2000). "Analyzing Mobile Offshore Bases Using Accelerated Boundary Element Methods," Marine Structures, Vol 13, pp 301-313.
9. Linton, CM (1999). "Rapidly Convergent Representations for Green's Functions for Laplace's Equation," Proc R Soc Lond A, Vol 455, pp 1767-1797.
10. Newman, JN (1985). "Algorithms for the Free-surface Green Function," J Eng Maths, Vol 19, pp 57-67.
11. Ohtsubo, H, and Sumi, Y (2000). Proc 14th Int Ship & Offshore Structures Congress (ISSC2000), Vol 1, pp 195-252.
12. Rokhlin, V (1985). "Rapid Solution of Integral Equations of Classical Potential Theory," J Comput Phys, Vol 60, pp 187-207.
13. Shiraishi, S, Harasaki, K, Yoneyama, H, Iijima, K, and Hiraishi, T (2001). "Experimental Study on Elastic Response and Mooring Forces of Very Large Floating Structures Moored inside Reef, " Proc 20th Int Conf on Offshore Mech & Arctic Eng, OMAE01-5203.
14. Teng, B, and Eatock Taylor, R (1995). "New Higher-order Boundary Element Methods for Wave Diffraction/radiation," Applied Ocean Research, Vol 17,pp 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. Utsunomiya, T, Watanabe, E, and Nishimura, N (2001). "Fast Multipole Algorithm for Wave Diffraction/radiation Problems and Its Application to VLFS in Variable Water Depth and Topography," Proc 20th Int Conf on Offshore Mech & Arctic Eng, OMAE01-5202.