Non‐linear finite element analysis of large amplitude sloshing flow in two‐dimensional tank

Abstract

SUMMARYThis paper is concerned with the accurate and stable finite element analysis of large amplitude liquid sloshing in two-dimensional tank under the forced excitation. The sloshing flow is formulated as an initial-boundary-value problem based upon the fully non-linear potential flow theory. The flow velocity field is interpolated from the velocity potential with second-order elements according to least square method, and the free surface conditions are tracked by making use of the direct time differentiation and the predictor-corrector method. Meanwhile, the liquid mesh is adapted such that the incompressibility condition is strictly satisfied. The accuracy and stability of the numerical method introduced are verified from the comparison with the existing reference solutions. As well, the numerical results are compared with those obtained by the linear theory with respect to the liquid fill height and the excitation amplitude.

A new particle method for simulation of incompressible free surface flow problems

“…Particle number densities n (corresponding to ) and n 0 (corresponding to 0 ) are used in Equation (9). Particle number density is a summation of the weight of each neighbor particle around the center particle as follows.…”

A numerical study of three-dimensional liquid sloshing in tanks

“…Nakayama and Washizu [27] analyzed the non-linear liquid sloshing in a 2-D rectangular tank under pitch excitation by using FEM. Their work was followed and refined by Cho and Lee [7], who analyzed the large amplitude sloshing in a 2-D tank. Wang and Khoo [33] studied 2-D non-linear sloshing problems under random excitations by using fully non-linear wave theory.…”

Hydroelastic analysis of insulation containment of LNG carrier by global–local approach

“…For the simplicity of explanation, let us assume to seek the 2D local structural response at the upper right corner of the insulation containment at a critical time t c . Figure 4(a) shows a global analysis model for which the complex insulation containment is simplified as a rigid container, so that the global analysis reduces to a rigid-tank sloshing problem [4] to compute the global flow field V G (x; t), the global hydrodynamic pressure field p G (x; t), and the global volume fraction F G (x; t) of interior LNG. The global analysis is carried out over the critical time, which is determined by the analyst in accordance with the goal of the hydroelastic analysis, and these three global fields at the critical time serve as the initial conditions for the local analysis.…”

“…In general, the cargo system of an LNG carrier consists of several insulation containments of the almost same shape and size. To protect the external heat invasion and sustain the hydrodynamic pressure caused by the interior LNG sloshing flow [3,4], the insulation containment is manufactured with a number of metallic and composite layers in complex lamination pattern. Here, the heatproof design is not so difficult when compared with the hydroelastic design because the latter involves the complicated interaction with interior LNG and exterior sea water flows.…”