Abstract
Reduced 3D dynamic fluid‐structure interaction (FSI) models are proposed in this paper based on a direct time‐domain B‐spline boundary element method (BEM). These models are used to simulate the motion of rigid bodies in infinite or semi‐infinite fluid media in real, or near real, time. B‐spline impulse response function (BIRF) techniques are used within the BEM framework to compute the response of the hydrodynamic system to transient forces. Higher‐order spatial and temporal discretization is used in developing the kinematic FSI model of rigid bodies and computing its BIRFs. Hydrodynamic effects on the massless rigid body generated by an arbitrary transient acceleration of the body are computed by a mere superposition of BIRFs. Finally, the dynamic models of rigid bodies including inertia effects are generated by introducing the kinematic interaction model to the governing equation of motion and solve for the response in a time‐marching scheme. Verification examples are presented and demonstrate the stability, accuracy, and efficiency of the proposed technique.
Highlights
Fluid-structure interaction (FSI) is a highly complicated phenomenon which involves wave propagation in fluid domains, structural dynamics, and the dynamic interaction between these two coupled media. e response of the FSI system pertains to computing the dynamic response of the structure along with scattering and radiation of waves in the fluid. e latter is caused by the simultaneous action of the motion of the structure and propagating waves in the fluid domain
Modeling of infinite media using the finite element method (FEM) requires the use of special elements at the boundary of the truncated domain. e boundary element method (BEM) is typically used to model the wave propagation in infinite fluid media because of its established advantages in dealing with systems of infinite or semi-infinite extents [11]
Detailed accounts and critical discussion of the various FEM, BEM, and FEM-BEM coupled formulations and solution techniques along with an extensive literature review of original works can be found in the state-of-the-art review chapter on FSI reported in [1]
Summary
Fluid-structure interaction (FSI) is a highly complicated phenomenon which involves wave propagation in fluid domains, structural dynamics, and the dynamic interaction between these two coupled media. e response of the FSI system pertains to computing the dynamic response of the structure along with scattering and radiation of waves in the fluid. e latter is caused by the simultaneous action of the motion of the structure and propagating waves in the fluid domain. Is work presents the development of a 3D hydrodynamic fluid-structure interaction mathematical model between the linearized fluid and rigid structure by coupling the BEM with the equation of motion of the rigid body that is expressed in an FEM sense. A B-spline impulse response function (BIRF) technique is used to compute the associated hydrodynamic forces To this end, the BIRF of the fluid boundary, in the absence of any structures, is calculated first based on the time-domain boundary element method for wave propagation in fluid media published by the authors in [23]. E following sections present a brief discussion of the BEM, detailed accounts of the rigid body boundary element, the proposed kinematic interaction models, their coupling with the general equation of motion, and the time-marching scheme of the solution. Verification of the proposed methods is presented through comparisons with analytical and FEM solutions of a representative system as obtained by commercial software. e stability, efficiency, and accuracy of the proposed methodology are demonstrated
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