Sloshing in partially filled liquid containers—Numerical and experimental study for 2-D problems

Monaghan, 1988, An introduction to SPH, Computer Physics Communications, 48, 89, 10.1016/0010-4655(88)90026-4 Nayroles, 1992, Generalizing the finite element method: diffuse approximation and diffuse elements, Computational Mechanics, 10, 307, 10.1007/BF00364252 Belytschko, 1994, Element-free Galerkin methods, International Journal for Numerical Methods in Engineering, 37, 229, 10.1002/nme.1620370205 Liu, 1996, Advances in multiple scale kernel particle methods, Computational Mechanics, 18, 73, 10.1007/BF00350529 Babuska, 1997, The partition of unity method, International Journal for Numerical Methods in Engineering, 40, 727, 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N Atluri, 1998, A new meshless local Petrov−Galerkin (MLPG) approach in computational mechanics, Computational Mechanics, 22, 117, 10.1007/s004660050346 Atluri, 2002 Atluri, 2002, The meshless local Petrov−Galerkin (MLPG) method: a simple and less-costly alternative to the finite element and boundary element methods, Computer Modeling in Engineering and Sciences, 3, 11 H.N. Abramson, The dynamic behavior of liquids in moving containers, NASA SP-106, National Aeronautics and Space Administration, Washington, DC, 1966. Wu, 1998, Numerical simulation of sloshing waves in a 3D tank based on finite element method, Applied Ocean Research, 20, 337, 10.1016/S0141-1187(98)00030-3 Pal, 2001, Experimental investigation of slosh dynamics of liquid-filled containers, Experimental Mechanics, 41, 63, 10.1007/BF02323106 Pal, 2003, Nonlinear coupled slosh dynamics of liquid-filled laminated composite containers: a two dimensional finite element approach, Journal of Sound and Vibration, 261, 729, 10.1016/S0022-460X(02)01011-8 Celebi, 2002, Nonlinear modeling of liquid sloshing in a moving rectangular tank, Ocean Engineering, 29, 1527, 10.1016/S0029-8018(01)00085-3 Biswal, 2003, Free-vibration analysis of liquid-filled tank with baffles, Journal of Sound and Vibration, 259, 177, 10.1006/jsvi.2002.5087 Frandsen, 2004, Sloshing motions in excited tanks, Journal of Computational Physics, 196, 53, 10.1016/j.jcp.2003.10.031 Ma, 2005, Meshless local Petrov–Galerkin method for two-dimensional nonlinear water wave problems, Journal of Computational Physics, 205, 611, 10.1016/j.jcp.2004.11.010 Ma, 2005, MLPG method based on Rankine source solution for simulating nonlinear water waves, Computer Modeling in Engineering and Sciences, 9, 193 Biswal, 2006, Non-linear sloshing in partially liquid filled containers with baffles, International Journal for Numerical Methods in Engineering, 68, 317, 10.1002/nme.1709 Ma, 2008, A new meshless interpolation scheme for MLPG_R method, Computer Modeling in Engineering and Sciences, 23, 75 Ma, 2009, MLPG_R method for numerical simulation of 2D breaking waves, Computer Modeling in Engineering and Sciences, 43, 277 Washizu, 1984, Some finite element techniques for the analysis of non-linear sloshing problems, Finite Elements in Fluids, 5, 357 Hunt, 1978, Seismic water waves in a storage tank, Bulletin of the Seismological Society of America, 68, 478 Okamoto, 1990, Two-dimensional sloshing analysis by Lagrangian finite element method, International Journal for Numerical Methods in Engineering, 11, 453, 10.1002/fld.1650110502 Akyildiz, 2005, Experimental investigation of pressure distribution on a rectangular tank due to the liquid sloshing, Ocean Engineering, 32, 1503, 10.1016/j.oceaneng.2004.11.006 Akyildiz, 2006, Sloshing in a three-dimensional rectangular tank: numerical simulation and experimental validation, Ocean Engineering, 33, 2135, 10.1016/j.oceaneng.2005.11.001