Boundary Element Analysis of 3-Dimensional Sloshing Problems by Using Cubic Spline Element

Partitioned vibration analysis of internal fluid‐structure interaction problems

“…In the current configuration, the initial-stress term contains the total Lagrangian pressure p T f D p 0 f C p f . Linearization of the external virtual work (15) provides…”

“…where gravitational body forces, initially present in (15), are invariably independent of the motion and consequently do not contribute to the linearized virtual work. Hence, only inertia forces and external tractions are present in the linearized virtual work because of external forces.…”

“…For sloshing motions of fluid in partially filled flexible containers, various formulations and solution methods have been proposed, which include the following: velocity potential for the fluid and modal superposition for the structure [9,10], Boundary integral for the fluid and modal superposition/FEM for the structure [11][12][13][14][15][16], Eulerian-Lagrangian equations for the fluid and the finite Numerical experiments using the present partitioned continuum-based FSI formulation are carried out in Section 10, which illustrate the validity of the present partitioned FSI formulation for linearized structural vibrations due to both acoustic and sloshing phenomena, and nonlinear transient responses. Finally, a discussion of the present study, further refinements, and open problems are offered in Section 11.…”

“…For sloshing motions of fluid in partially filled flexible containers, various formulations and solution methods have been proposed, which include the following: velocity potential for the fluid and modal superposition for the structure , Boundary integral for the fluid and modal superposition/FEM for the structure , Eulerian–Lagrangian equations for the fluid and the finite element/volume method for the structure , and Lagrangian equation for the fluid with the FEM for the structure , among others.…”

A reduced order model for liquid sloshing in tanks with flexible baffles using boundary element method

“…Among the numerical methods, the boundary element method (BEM) is a convenient and efficient method for sloshing analysis, because of discretizing the boundaries instead of the entire field and subsequently decreasing the computational cost. Applying BEM to investigate linear and nonlinear sloshing models for 2D and 3D fluid domains have been carried out by Nakayama and Washizu [3], Iseki et al [4], Sen [5], Abe [6], Christensen and Brunty [7], Dutta and Laha [8], Zang et al [9], Zhu and Saito [10], Donescu and Virgin [11] and Fiouzabadi et al [12].…”