Uncoupling Approximations in Fluid-Structure Interaction Problems With Cavitation

DiMaggio, Frank L.; Sandler, Ivan S.; Rubin, Donald B.

doi:10.1115/1.3157728

Cited by 16 publications

(11 citation statements)

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“…e response of a floating barge exposed to an UNDEX simulated by the USA code with and without cavitation shows a significant difference in structural response [11]. To improve the pure BEM based on DAA when cavitation presents, several wet-surface approximation (WSA) models have been introduced (e.g., [12]). e investigation of WSA coupled with elastic massspring system conducted in [13] revealed the degraded accuracy due to the inability of capturing the fluid accretion (uncavitated fluid between the cavitation upper boundary and the structure).…”

Section: Modeling Techniques For the Fluid Domain In Undexmentioning

confidence: 99%

“…We compare the dynamic condensation distribution in the depth direction under the center of the FSP bottom at various time periods (10 ms, 20 ms, and 30 ms) following the approach in [31]. A negative dynamic condensation indicates the extent of cavitation based on equation (12). Instead of the Russell error norm definition which is used for quantifying the norm of the oscillatory response history, we use the L 2 error norm definition in High-order CASE direct matrix High-order CASE tensor product Linear CASE/CAFE direct matrix Linear CASE/CAFE tensor product…”

Section: Comparison Of Dynamic Condensation Distribution and Cavitatimentioning

confidence: 99%

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Application of the Spectral Element Method in a Surface Ship Far‐Field UNDEX Problem

Brown

2019

Shock and Vibration

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The prediction of surface ship response to a far-field underwater explosion (UNDEX) requires the simulation of shock wave propagation in the fluid, cavitation, fluid-structure interaction, and structural response. Effective approaches to model the fluid include cavitating acoustic finite element (CAFE) and cavitating acoustic spectral element (CASE) methods. Although the spectral element method offers the potential for greater accuracy at lower computational cost, it also generates more spurious oscillations around discontinuities which are difficult to avoid in shock-related problems. Thus, the advantage of CASE remains unproven. In this paper, we present a 3D-partitioned FSI framework and investigate the application of CAFE and CASE to a surface ship early-time far-field UNDEX problem to determine which method has the best computational efficiency for this problem. We also associate the accuracy of the structural response with the modeling of cavitation distribution. A further contribution of this work is the examination of different nonmatching mesh information exchange schemes to demonstrate how they affect the structural response and improve the CAFE/CASE methodologies.

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Section: Modeling Techniques For the Fluid Domain In Undexmentioning

confidence: 99%

Section: Comparison Of Dynamic Condensation Distribution and Cavitatimentioning

confidence: 99%

Application of the Spectral Element Method in a Surface Ship Far‐Field UNDEX Problem

Brown

2019

Shock and Vibration

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“…The method has been used extensively by Geers (1974) for the early-time predictions of the response of surface ships and submarines exposed to underwater explosions. For surface vessels, the effect of cavitation can be significant and commonly used models for the phenomena are the displacement criteria, DiMaggio et al (1981), and the pressure criteria, Moyer et al (1992). These are very simplified models for a very complex phenomenon to which there is not yet a unique solution.…”

Section: Introductionmentioning

confidence: 99%

Cavitation Models for Structures Excited by a Plane Shock Wave

Mäkinen

1998

Journal of Fluids and Structures

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“…Mindlin and Bleich [1] presented the early time plane wave approximation (PWA) to simulate the effect of the infinite fluid medium. The PWA method was applied by DiMaggio et al [6] and Hamdan and Dowling [7] to submerged spherical and spheroidal shells. Fan et al [8] applied PWA together with the spline shell elements to fluid-structure interaction problems.…”

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confidence: 99%

Symmetric collocation BEM/FEM coupling procedure for 2-D dynamic structural-acoustic interaction problems

Gao¹

2002

Computational Mechanics

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This paper presents a symmetric collocation BEM (SCBEM)/FEM coupling procedure applicable to 2-D time domain structural-acoustic interaction problems. The use of symmetry for BEM not only saves memory storage but also enables the employment of efficient symmetric equation solvers, especially for BEM/FEM coupling procedure. Compared with symmetric Galerkin BEM (SGBEM) where double boundary integration should be carried out, SCBEM can reduce significantly the computing cost. Two numerical examples are included to illustrate the effectiveness and accuracy of the proposed method. IntroductionOver the past four decades, significant attention has been devoted to the development of computational methods for time domain fluid-structure interaction problems [1][2][3][4]. When finite element method (FEM) is used to model infinite acoustic domains, the artificial boundary reflection should be considered [5]. Mindlin and Bleich [1] presented the early time plane wave approximation (PWA) to simulate the effect of the infinite fluid medium. The PWA method was applied by DiMaggio et al. [6] and Hamdan and Dowling [7] to submerged spherical and spheroidal shells. Fan et al. [8] applied PWA together with the spline shell elements to fluid-structure interaction problems. After Mindlin and Bleich [1], Geers [9] presented an analytical method based on the virtual mass approximation (VMA) of the infinite acoustic medium. Numerical results demonstrated the superior performance of VMA over PWA for late time behaviours and low frequencies. By superimposing PWA and VMA, Ranlet et al.[10] used the doubly asymptotic approximation (DAA) to model the infinite fluid medium, while modal analysis was employed for the structure. DAA has been proved to be accurate for both early and late time behaviours, and has been used by Zilliacus et al. [11] to analyze the response of a submerged fluid-filled cylinder subjected to an incident plane step wave caused by a far field explosion.The above are some simplified methods to simulate the infinite fluid. When the structure is not in regular form or when the input is not plane wave, the interaction among different points through fluid (structural-acoustic interaction) should be considered. Application of the above methods may cause serious errors in some applications, and the BEM/FEM coupling procedure would be the best alternative.Boundary element method, which is suitable for both finite and infinite domains, has been applied to many engineering problems during the past two decades [12]. One of the major disadvantages for BEM is the lack of symmetry for its coefficient matrix, which will not only increase the memory storage but also disable the employment of efficient symmetric computation techniques. Thus it makes the computer code less efficient, especially for BEM/FEM coupling procedure where more unknowns often exist in the finite element domain. Symmetric Galerkin BEM (SGBEM) was first proposed by Sirtori [13] for linear elastic analysis, and then used by many researchers in various applications [...

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Uncoupling Approximations in Fluid-Structure Interaction Problems With Cavitation

Cited by 16 publications

References 0 publications

Application of the Spectral Element Method in a Surface Ship Far‐Field UNDEX Problem

Application of the Spectral Element Method in a Surface Ship Far‐Field UNDEX Problem

Cavitation Models for Structures Excited by a Plane Shock Wave

Symmetric collocation BEM/FEM coupling procedure for 2-D dynamic structural-acoustic interaction problems

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