Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 2. Effect of higher modes

Journal of Fluid Mechanics

Volumn 523, Issue , 2005, Pages 199-218

  Faltinsen, Odd M ^a   Rognebakke, Olav F ^a   Timokha, Alexander N ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; HARMONIC ANALYSIS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; RANDOM PROCESSES; RESONANCE; TRANSIENTS;

FREQUENCY DOMAINS; RANDOM-LIKE EXCITATION; SQUARE-BASE BASINS; STEADY-STATE CONDITIONS;

LIQUID SLOSHING;

COMPUTATIONAL FLUID DYNAMICS; RESONANCE; SLOSHING;

EID: 13844275227     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200400196X     Document Type: Article

References (11)

1. Abramson, H. N. 1966 The dynamics of liquids in moving containers. NASA Rep. SP 106.
2. Bryant, P. J. 1989 Nonlinear progressive waves in a circular basin. J. Fluid Mech. 205, 453-467.
3. Faltinsen, O. M., Rognebakke, O. F., Lukovsky, I. A. & Timokha, A. N. 2000 Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. J. Fluid Mech. 407 201-234.
4. Faltinsen, O. M., Rognebakke, O. F. & Timokha, A. N. 2003 Resonant three-dimensional nonlinear sloshing in a square-base basin. J. Fluid Mech. 487, 1-42 (referred to herein as Part 1).
5. Faltinsen, O. M., Rognebakke, O. F. & Timokha, A. N. 2004 Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth. J. Fluids Struct. (in press).
6. Faltinsen, O. M. & Timokha, A. N. 2001 Adaptive multimodal approach to nonlinear sloshing in a rectangular rank. J. Fluid Mech. 432 167-200.
7. Gavrilyuk, I., Lukovsky, I. A. & Timokha, A. N. 2000 A multimodal approach to nonlinear sloshing in a circular cylindrical tank. Hybrid Meth. Engng 2, 463-483.
8. Hill, D. F. 2003 Transient and steady-state amplitudes of forced waves in rectangular tanks. Phys. Fluids 15, 1576-1587.
9. La Rocca, M., Mele, P. & Armenio, V. 1997 Variational approach to the problem of sloshing in a moving container. J. Theor. Appl. Fluid Mech. 1, 280-310.
10. Moiseyev, N. N. 1958 To the theory of nonlinear oscillations of a limited liquid volume of a liquid. Prikl. Mat. Mech. 22, 612-621 (in Russian).
11. Narimanov, G. S. 1957 Movement of a tank partly filled by a fluid: the taking into account of non-smallness of amplitude. Prikl. Mat. Mech. 21, 513-524 (in Russian).