A Lagrangian panel method in the time domain for moving free-surface potential flows

International Journal of Computational Fluid Dynamics

Volumn 16, Issue 4, 2002, Pages 263-275

  D'elia J ^a   Storti, M A ^a   Onate E ^b   Idelsohn, S R ^a  

^a UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

^b INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

Author keywords

Computational fluid dynamics; Free surface flows; Lagrangian panel method; Sloshing flow; Steklov Poincar operator

Indexed keywords

FREE-SURFACE POTENTIAL FLOWS;

BOUNDARY CONDITIONS; LAGRANGE MULTIPLIERS; LIQUID SLOSHING; RESONANCE; TIME DOMAIN ANALYSIS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0036852451     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/1061856021000025148     Document Type: Conference Paper

References (37)

1. Abramson, H., Wen-Hwa, C. and Garza, L. (1963) "Liquid sloshing in spherical tanks", AIAA J. 1(1), 384-389.
2. Bach, P. and Hassager, O. (1985) "An algorithm for the use of Lagrangian specification in Newtonian fluid mechanics applications to free surface flows", J. Fluid Mech. 152, 173.
3. Balendra, T., Ang, K., Paramasivam, P. and Lee, S. (1982) "Free vibration analysis of cylindrical liquid storage tanks", Int. J. Mech. Sci. 24(1), 47-59.
4. Bauer, H. (1963) "Liquid sloshing in a cylindrical quarter tank", AIAA J. 1, 2601-2606.
5. Brebbia, C. (1984) Topics in Boundary Elements Research (Springer, Berlin) Vol. 1-5.
6. Chiapada, S., Jue, T., Joo, S., Wheeler, M. and Ramaswamy, R. (1996) "Numerical simulation of free-boundary problems", Comput. Fluid Dyn. 7, 91.
7. Cottle, R. (1974) "Manifestions of the Schur complement", Linear Algebra Applic. 8, 189-211.
8. Dutta, S. and Laha, M. (2000) "Analysis of the small amplitude sloshing of a liquid in a rigid container of arbitrary shape using a low-order boundary element method", Int. J. Num. Meth. Engng 47, 1633-1648.
9. Faltinsen, O. (1998) Sea Loads on Ships and Offshore Structures (Cambridge University Press, Cambridge).
10. Givoli, D. and Keller, J. (1990) "A Finite Element Method for Large Domains", Comm. Numer. Meth. Engng 12, 261-279.
11. Graham, E. and Rodríguez, A. (1952) "The characteristic of fuel motion which affect airplane dynamics", J. App. Mech. 19, 381-388.
12. Haroun, M. (1983) "Vibration studies and tests of liquid storage tanks", Earthquake Engng Struct. Dyn. 11, 179-206.
13. Housner, G. (1957) "Dynamic pressures on accelerated fluid containers", Bull. Seismic Soc. Am. 47, 15-35.
14. Huan, R. and Thompson, L. (2000) "Accurate radiation boundary conditions for the time-dependent wave eqson unbounded domains", Int. J. Num. Meth. Engng 47, 1569-1603.
15. Huang, Y. and Sclavounos, P. (1998) "Nonlinear ship motions", J Ship Res. 42(2), 120-130.
16. Hwang, I. and Ting, K. (1987) "Dynamics analysis of storage tanks including hydrodynamic interaction by boundary element method", Transac. 9th Int. Conf. Stuct. Mech. Reactor Tech., 429-434.
17. Kawahara, M. and Miwa, T. (1984) "Finite element analysis of wave motion", Int. J. Num. Meth. Engng 20, 1193.
18. Khayat, R., Plaskos, C. and Genouvier, D. (2001) "An adaptive boundary-element approach for 3D transient free surface cavity flow, as applied to polymer processing", Int. J. Num. Meth. Engng 50, 1347-1368.
19. Koh, H., Kim, J. and Park, J. (1998) "Fluid-structure interaction analysis of 3-D rectangular tanks with a variationally coupled BEM-FEM and comparison with test results", Earthquake Engng Struct. Dyn. 27, 109-124.
20. Koshlyakov, N., Smirnov, M. and Gliner, E. (1964) Differential Equations of Mathematical Physics (North-Holland Publishing Company, Amsterdam).
21. Kuo, C. and Morino, L. (1974) "Subsonic potential aerodynamics for complex configurations: a general theory", AIAA J. 12, 191-197.
22. Lloyd, A. (1989) Seakeeping. Ship Behavior in Rough Weather (Ellis Horwood Limited, Chichester).
23. Maître, T. (1988) Modelisation de l'ecoulémént autour d'une hé1ice marine par la méthode du potentiel PhD thesis Institut National Polytechnique de Grenoble (France).
24. Moiseev, N. (1964) "Introduction to the theory of oscillations of liquid-containing bodies", Advances in Applied Mechanics (Academic Press, NewYork) Vol. 8, pp 233-289.
25. Moiseev, N. and Petrov, A. (1966) "The calculation of free oscillations of a liquid in a motionless container", Advances in Applied Mechanics (Academic Press, New York) Vol. 9, pp 91-154.
26. Morand, H. and Ohayon, R. (1995) Fluid Structure Interaction (Wiley, Paris).
27. Morino, L., (1985) In: Computational Methods in Potential Aero-dynamics (Springer, Berlin).
28. Mueller, A. and Kinnas, S. (1999) "Propeller sheet cavitation predictions using a panel method", J. Fluids Engng 121, 282-288.
29. Nickell, R., Tanner, R. and Caswell, B. (1974) "The solution of viscous incompressible jet and free-surface flows using finite element method", J. Fluid Mech. 65, 189.
30. Quarteroni, A. (1995) "Domain decomposition methods for wave propagation problems", In: Keyes, D., Saad, Y. and Truhlar, D., eds, Domain Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering (SIAM, Philadelphia).
31. Ramaswamy, B. and Kawahara, M. (1987) "Lagrangian finite element analysis applied to viscous free surface fluid flow", Int. J. Num. Meth. Fluids 7, 953.
32. Ruschak, K. (1980) "A method of incorporating free boundaries with surface tension in finite element fluid flow simulation", Int. J. Num. Meth. Engng 15, 639.
33. Serón, F. and Sabadell, F. (2000) "The multiblock method. A new strategy based on domain decomposition for the solution of wave propagation problem", Int. J. Num. Meth. Engng 49, 1353-1376.
34. Shy, W., Udaykumar, H., Rao, M. and Smith, R. (1996) Computational Fluid Dynamics with Moving Boundaries (Taylor and Francis, London).
35. Siliman, W. and Scriven, L. (1980) "Separating flow near a static contact line: slip at the wall and shape of a free surface", J. Comp. Phys. 34, 287.
36. Williams, B. (1985) "The prediction of separated flow using a viscous-inviscid interaction method", Aeronautical J. 89(885), 185-197.
37. York, A., Sulsky, D. and Schreyer, H. (2000) "Fluid-membrane interaction based on the material point method", Int. J. Num. Meth. Engng 48, 901-924.