Numerical implementation of solid boundary conditions in meshless methods

Proceedings of the International Offshore and Polar Engineering Conference

Volumn , Issue , 2008, Pages 16-23

  Zhou, J T ^a   Ma, Q W ^a   Yan, S ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

Meshless method; Nonlinear waves; Solid boundary condition

Indexed keywords

BOUNDARY CONDITIONS; WAVES;

IMPLEMENTATION METHODS; MESHLESS METHOD; NONLINEAR WAVES; NUMERICAL IMPLEMENTATION; PRESSURE TIME; SOLID BOUNDARY CONDITION; SOLITARY WAVES; SURFACE PROFILING;

NUMERICAL METHODS;

EID: 58449112728     PISSN: 10986189     EISSN: 15551792     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. Atluri, SN, and Zhu, T (1998). "A New Meshless Local Petrov- Galerkin (MLPG) Approath in Computational Mechanics", Computational Mechanics, Vol 22, pp 117-127.
2. Atluri, SN, and Shen. S (2002). "The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple & Less-costly Alternative to the Finite Element and Boundary Element Methods", CMES: Computer Modelling in Engineering & Sciences, Vol 3 (1), pp 11-52.
3. Belytschko, T, Lu, Y. Y, and Gu, L (1994). "Element-Free Galerkin Methods", Int. J. Numr. Meth. Eng., Vol 37, pp 229-256.
4. Devrard, D, Marcer, R., Grilli, ST, Fraunie, P, and Rey, V, (2005), "Experimental Validation of a Coupled BEM-Navier-Stokes Model for Solitary Wave Shoaliing and Breaking". Proc. 5th Intl. on Ocean Wave Measurement and Analysis, pp 166-176
5. th International Workshop on Water Waves and Floating Bodies, Kuju, Oita, Japan.
6. Goring, DG (1978). "Tsunamis the Propagation of Long Waves onto A Shelf", Report No. KH-R-38, W.M.Kech Laboratory of Hydraulics and Water Resources, California Institute of Technology, Pasadena, CA. pp 337.
7. Gotoh, H, and Sakai, T (1999). "Lagangian Simulation of Breaking Waves Using Particle Method", Coastal Engineer Journal, Vol 41, Nos 3 & 4, pp 303-326.
8. Gotoh, H, and Sakai, T, (2006). "Key Issues in the Particle Method for Computation of Wave Breaking", Coastal Engineer, Vol 53, pp 171-179.
9. Grilli, ST, Guyenne, P, and Dias, F (2001). "A fully non-linear model for three-dimensional overturning waves over an arbitrary bottom", Int. J. Numer. Meth. Fluid., Vol 35, pp 829-867.
10. Hibi, S and Yabushita, K (2004). "A Study on Reduction of Unusual Pressure Fluctuation of MPS Method", J. Kansai Soc. N. A., Japan, No 241. pp 125-131.
11. Koshizuka, S, and Oka, Y (1996). "Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid", Nuclear Science and engineering: Vol 123, pp 421-434.
12. Lin, H and Atluri, SN (2001). "The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations", CMES: Computer Modelling in Engineering & Sciences, Vol 2(2), pp 117-142.
13. Lo, Edmond YM, and Shao Songdong (2002). "Simulation of nearshore solitary wave mechanics by an incompressible SPH method", Applied Ocean Research, Vol 24, pp 275-286.
14. Ma, QW (2005a). "Meshless Local Petrov-Galerin Method for Twodimensional Nonlinear Water Wave Problems", Journal of Computational Physics, Vol 205, Issue 2, pp 611-625.
15. Ma, QW (2005b). "MLPG Method Based on Rankine Source Solution for Simulating Nonlinear Water Waves", CMES: Computer Modelling in Engineering & Sciences, Vol 9, No 2, pp 193-209.
16. Ma, QW (2007). "Numerical Generation of FreakWaves Using MLPG-R and QALE-FEM Methods", CMES, Vol 18, No 3, pp 223-234.
17. Ma, QW (2008). "A New Meshless Interpolation Scheme for MLPG-R Method", CMES: Computer Modelling in Engineering & Sciences, Vol 23, No 2, pp 75-89.
18. Ma, QW, and Yan, S (2006). "Quasi ALE Finite Element Method for Nonlinear Water Waves", Journal of Computational Physics, 212, pp 52-72.
19. Monaghan, JJ (1994). "Simulation Free Surface Flows with SPH", JOURNAL OF COMPUTATIONAL PHYSICS, Vol 110. pp 399-406.
20. Nayroles, B Touzot, G, and Villon, P (1992). "Generalizing the Finite Element Method, Diffuse Approximation and Diffuse Elements", Computational Mechanics, Vol 10, pp 307-318.
21. Naito, S, and Sueyoshi, M (2002). "A Numerical Analysis of Viloent Free Surface Flow by Particle Method", the proceeding of ISOPE PACOMS, pp 219-226.
22. Onate, E, Idelsohn, S, Zienkiewicz, OC, Taylor, RL, and Sacco, C (1996), "A stabilized Finite Point Method for Analysis of Fluid Mechanics Problems", Comput. Methods Appl. Mech. Engrg. 139: pp 315-346.
23. Shao, S, and Lo, EYM (2003). "Incompressible SPH Method for Simulating Newtonian and Non-Newtonian with A Free Surface", Adv. Water Resour. 26, pp 787-800.
24. Sueyoshi, M and Naito, S (2004). "An Improvement on Pressure Calculaation Scheme of MPS Method", J.Kansai Soc. N.A., Japan, No 242: 53-59.
25. Yoon, H. Y, Koshizuka, S, and Oka, Y (2001). "Direct Calculation of Bubble Growth, Departure, and Rise in Nucleate Pool Boiling", International Journal of Multiphase Flow 27, pp 277-298.
26. Zhang, S, Morita, K, Kenji, F, and Shirakawa, N (2006). "An Improved MPS Method for Numerical Simulations of Convective Heat Transfer Problems", INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, pp 51: 31-47.