BOUNDARY ELEMENT METHOD IN INVESTIGATION OF FLUID OSCILLATIONS IN SHELLS OF REVOLUTION WITH AND WITHOUT BAFFLES

Abstract

This work focuses on the mathematical modeling and numerical analysis of fluid oscillations in axisymmetric shells of revolution, specifically conical and spherical geometries, both with and without internal horizontal baffles. The primary objective of the study is to develop and validate a boundary element method to solve three-dimensional boundary value problems governing the motion of an ideal incompressible fluid. The proposed boundary element framework allows for an efficient and accurate assessment of influencing the internal baffles and their geometric parameters on the natural frequencies and mode shapes of fluid oscillations. This capability is particularly important for understanding sloshing behavior and mitigating its adverse effects in engineering systems. The methodology provides both theoretical advancement and practical significance in the area of fluid–structure interaction modeling. Future investigations will aim on extending the present model to incorporate strong seismic loading, nonlinear dynamic effects, and more sophisticated fluid-structure coupling mechanisms, thereby improving the accuracy and reliability of predictions for complex realworld engineering systems.