Computation of the free surface of a liquid with surface tension for any tank geometry

23rd International Conference on Noise and Vibration Engineering 2008, ISMA 2008

Volumn 6, Issue , 2008, Pages 3461-3475

  El Kamali, M ^a,b   Schotte J S ^a   Ohayon, R ^b  

^a ONERA   (France)

^b University of Paris Cité   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; NEWTON-RAPHSON METHOD; SURFACE TENSION; TANKS (CONTAINERS);

3-D FINITE ELEMENTS; EQUILIBRIUM CONFIGURATION; LIQUID FREE SURFACES; MICROGRAVITY ENVIRONMENTS; NEWTON-RAPHSON ALGORITHM; STANDARD FINITE ELEMENT; TOTAL POTENTIAL ENERGY; UPDATED REFERENCE STRATEGY;

LIQUIDS;

EID: 84906343956     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. H. N. Abramson. The dynamic behaviour of liquids in moving containers. NASA SP-106, 1966.
2. F. T. Dodge and L. R. Garza. Experimental and theorical studies of liquid sloshing at simulated low gravities. Technical Report No. 2, NAS8-20290, NASA, 1966.
3. W.-H. Chu. Low gravity liquid sloshing in an arbitrary axisymetric tank performing translational oscillations. Technical Report No. 4, DCN 1-6-75-00010, NASA, 1967.
4. P. Concus, G. E. Crane, and H. M. Satterlee. Small amplitude lateral sloshing in a cylindrical tank with a hemispherical bottom under low gravitational conditions. Technical Report CR-54700, LMSCA852007, NASA, 1967.
5. G. D. Bizzell, P. Concus, G. E. Crane, and H. M. Satterlee. Low gravity draining from hemispherically bottomed cylindrical tanks. Technical Report CR-72718, LMSC-A903128, NASA, 1970.
6. H. M. Satterlee and W. C. Reynolds. The dynamics of free surface in cylindrical containers under strong capillarity and weak gravity conditions. Technical Report LG-2, Stanford University, Palo Alto, California, USA, 1964.
7. P. Tong and Y. C. Fung. The effect of wall elasticity and surface tension on the forced oscillations of a liquid in a cylindrical container. In H. Cohan and M. Rogers, editors, Proc. of a Symposium held at Palo Alto, California, USA, June 1965.
8. N. N. Moïseyev and V. V. Rumyantsev. Dynamic stability of bodies containing fluid, volume 6. Springer-Verlag, applied physics and engineering edition, 1968.
9. L. D. Landau and E. M. Lifshitz. Course of Theoretical Physics, volume 6: FluidMechanics. Pergamon Press, 2nd edition, 1987.
10. L. D. Peterson, E. D. Crawley, and R. J. Hansman. Nonlinear fluid slosh coupled to the dynamics of a spacecraft. AIAA Journal, 27 (9), 1989.
11. R. Finn. Equilibrium capillary surfaces. Springer-Verlag, 1986.
12. A. D. Myshkis, V. G. Babskii, N. D. Kopachevskii, L. A. Slobozhanin, and A. D. Tyuptsov. Low- Gravity Fluid Mechanics: Mathematical Theory of Capillary Phenomena. Springer-Verlag, 1987.
13. H. A. Snyder. Sloshing in microgravity. Cryogenics, 39:1047-1055, 1999.
14. R. Luppes, J. A. Helder, and A. E. P. Veldman. The numerical simulation of liquid sloshing in microgravity. In Proc. of European Conference on Computational Fluid Dynamics, University of Groningen, The Netherlands, 2006.
15. H. J.-P. Morand and R. Ohayon. Fluid Structure Interaction. John Wiley and Sons, Masson, 1995.
16. V. Perrin, O. Allain, C. Leca, and P. Boh. Liquid propellant behaviour under very low gravity. In AIAA/SAE/ASME/ASEE 37th Joint Propulsion Conference, Salt Lake City, Utah, USA, July 2001.
17. V. Perrin, C. De Joüette, C. Dassibat, and J. M. Le Gouez. Numerical simulation for flows in microgravity environment. In 54th International Astronautical Congress of the IAF, the IAA and the IISL, Bremen, Germany, 29 September - 3 October 2003.
18. H. Yuanjun, M. Xingrui, W. Pingping, and W. Benli. Low-gravity liquid nonlinear sloshing analysis in a tank under pitching excitation. Journal of Sound and vibration, 299:164-177, 2007.
19. M. Utsumi. Low-gravity liquid nonlinear sloshing analysis in a tank under pitching excitation. Journal of Fluids and Structures, 12: 57-83, 1998.
20. P. H. Saksono and D. Perić. On finite element modelling of surface tension. variational formulation and applications - part i: Quasistatic problems. Computational Mechanics, 38:265-281, 2006.
21. R. Wuchner K.-U. Bletzinger. Stress-adapted numerical form finding of pre-stressed surfaces by the updated reference strategy. Int. J. Numer. Meth. Engeng., 64:143-166, May 2005.
22. A. Tromba S. Hildebrandt. Mathematics and optimal form. Scientific American Library, 1985.
23. J. Mahaney J. Bonet. Form finding of membrane structures by the updated reference method with minimum mesh distortion. International Journal of Solids and Structures, 38: 5469-5480, 2001.
24. J. Bellmann. Membrantragwerk und seifenhaut-unterschiede in der formfindung. Bauingenieur, 73: 118-123, 1998.
25. J. T. Batina. Unsteady euler airfoil solutions using unstructured dynamic meshes. Technical Report 89-0115, AAIA, January 11-14 1988.
26. R. V. Garimella and B. K. Swartz. Curvature estimation for unstructured triangulations of surfaces. Technical Report LA-UR-03-8240, Los Alamos National Laboratory, November 2003.