Evaluation of sloshing problem by variational boundary element method

Three-dimensional dynamic liquid slosh in partially-filled horizontal tanks subject to simultaneous longitudinal and lateral excitations

“…(25) leads to 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 The kinetic energy is obtained by transforming the integral in Eq. (25) to an integral over the free-surface using the Divergence theorem and by letting as the differentiable vector, such that:…”

“…Firouz-Abadi et al [22,23] also developed a three-dimensional BEM for analysis of natural slosh frequencies and modes in various clean-bore and baffled tanks such as upright rectangular and cylindrical, and spherical tanks. The effect of ring baffles on the natural slosh frequencies and seismic responses of upright cylindrical tanks was studied by Gedikli and Erguven [24,25] using BEM and superposition of modes.…”

A 3D BEM model for liquid sloshing in baffled tanks

“…The following analytical expression gives the sloshing frequencies of an upright cubic liquid tank [1, 2]: where J m is the mth Bessel function of the first kind. The effect of baffle dimension and position on the natural frequencies of a rigid cylindrical tank is investigated by Gedikli and Erguven [14]. Figures 4 and 5 show that how the sloshing frequencies in a cylindrical tank vary with the liquid depth and baffle parameters.…”

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions

“…We compared our numerical data with calculations by Müller [51] (for the first mode only) and the graphs by Gedikli and Ergüven [38] (corresponding to the first graph in Figure 4). These are in good agreement and, in particular, the difference from Müller is less than 2%.…”

“…Experimental and numerical results were reported by Dokuchaev [30], Bauer [2], Rabinovich [31], Ermakov et al [32], Trotsenko [33], Morozov [34] and, recently, by Watson [35], Biswal et al [36], Gedikli and Ergüven [37,38]. Most of the computational results were based on finite-element schemes.…”