Abstract

A numerical analysis method for acoustic field solutions to fluid-structure interaction problems has been successfully developed and applied to many problems. In the method, the small dynamic motion of compressible fluid can be analyzed by using a structural analysis code based on the finite-element displacement method using an analogy relating the scalar wave equation to elasticity ones, where compressible fluid is represented by using structural finite elements with pressure as the unknown nodal point variable. In this paper, the idea is applied to linear sloshing analysis. Theoretical consideration shows that the present method is equivalent to the conventional finite-element formulation based on the linear potential theory. The results of numerical analysis of liquid sloshing in a cubic tank and of fluid vibration in a U-tube under gravitational force are shown to be in excellent agreement with the theoretical values.

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