Numerical simulation of sloshing waves in a 3D tank based on a finite element method

Abramson HN. The dynamic behaviour of liquid in moving containers. Report SP 106 of NASA, 1996. Solaas, 1997, Combined numerical solution for sloshing in two-dimensional tanks of general shape, Journal of Ship Research, 41, 118 Jones, 1987, The hydrodynamics of water on deck, Journal of Ship Research, 31, 125, 10.5957/jsr.1987.31.2.125 Faltinsen, 1978, A numerical non-linear method of sloshing in tanks with two dimensional flow, Journal of Ship Research, 18, 224, 10.5957/jsr.1974.18.4.224 Okamoto, 1990, Two-dimensional sloshing analysis by Lagragian finite element method, International Journal for Numerical Methods in Fluids, 11, 453, 10.1002/fld.1650110502 Chen, 1996, Large amplitude liquid sloshing in seismically excited tanks, Earthquake Engineering and Structural Dynamics, 25, 653, 10.1002/(SICI)1096-9845(199607)25:7<653::AID-EQE513>3.0.CO;2-H Armenio, 1996, On the analysis of sloshing of water in rectangular containers: numerical study and experimental validation, Ocean Engineering, 23, 705, 10.1016/0029-8018(96)84409-X Huang, 1996, Nonlinear shallow-water flow on deck, Journal of Ship Research, 40, 303, 10.5957/jsr.1996.40.4.303 Wu GX, Ma QW, Eatock Taylor R. Analysis of interactions between non-linear waves and bodies by domain decomposition, ONR 21st Symposium on Naval Hydrodynamics. Trondheim, Norway, 1996. Ma QW, Wu GX, Eatock Taylor R. Finite element analysis of the non-linear transient waves in three dimensional long tank, in: 12th International Workshop on Water Waves and Floating Bodies. Carry-le-Rouet, France, 1997. Greaves DM. Numerical modelling of laminar separated flows and inviscid steep waves using adaptive hierarchical meshes, DPhil thesis, Department of Engineering Science, University of Oxford, 1995. Tsai, 1994, Numerical Fourier solution of standing waves in finite water depth, Applied Ocean Research, 16, 185, 10.1016/0141-1187(94)90028-0 Peregrine, 1966, Calculations of the development of an undular bore, J Fluid Mech, 25, 321, 10.1017/S0022112066001678 Chester, 1968, Resonant oscillation of water waves Part I: Theory, Proc Roy Soc Lond, A306, 5, 10.1098/rspa.1968.0134 Chester, 1968, Resonant oscillation of water waves Part II: Experiment, Proc Roy Soc Lond, A306, 23, 10.1098/rspa.1968.0135 Nagai, 1969, Pressure of standing waves on vertical walls, J Waterways and Harbour Div ASCE, WW1, 53 Cooker, 1997, Reflection of a high-amplitude solitary wave at a vertical wall, J Fluid Mechanics, 342, 141, 10.1017/S002211209700551X Benjamin, 1954, The stability of the plane free surface of a liquid in vertical periodic motion, Proc Roy Soc Lond, A225, 505, 10.1098/rspa.1954.0218 Miles, 1990, Parametrically forced surface waves, Ann Rev Fluid Mech, 22, 143, 10.1146/annurev.fl.22.010190.001043 Jiang, 1996, Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries, J Fluid Mech, 329, 275, 10.1017/S0022112096008920 Su TC, Wang Y. Numerical simulation of three-dimensional large amplitude liquid sloshing in rectangular containers subjected to vertical excitation. In: Seismic Engineering for Piping Systems, Tanks and Power Plant Equipment, vol. 108. ASME, 1986:149–154.