• Title/Summary/Keyword: Fluid Added Mass

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Real-Time Water Wave Simulation with Surface Advection based on Mass Conservancy

  • Kim, Dong-Young;Yoo, Kwan-Hee
    • International Journal of Contents
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    • v.4 no.2
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    • pp.7-12
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    • 2008
  • In this paper, we present a real-time physical simulation model of water surfaces with a novel method to represent the water mass flow in full three dimensions. In a physical simulation model, the state of the water surfaces is represented by a set of physical values, including height, velocity, and the gradient. The evolution of the velocity field in previous works is handled by a velocity solver based on the Navier-Stokes equations, which occurs as a result of the unevenness of the velocity propagation. In this paper, we integrate the principle of the mass conservation in a fluid of equilateral density to upgrade the height field from the unevenness, which in mathematical terms can be represented by the divergence operator. Thus the model generates waves induced by horizontal velocity, offering a simulation that puts forces added in all direction into account when calculating the values for height and velocity for the next frame. Other effects such as reflection off the boundaries, and interactions with floating objects are involved in our method. The implementation of our method demonstrates to run with fast speed scalable to real-time rates even for large simulation domains. Therefore, our model is appropriate for a real-time and large scale water surface simulation into which the animator wishes to visualize the global fluid flow as a main emphasis.

Seismic Safety Evaluation of Concrete Gravity Dams Considering Dynamic Fluid Pressure (동수압을 고려한 콘크리트 중력식 댐의 내진안전성 평가)

  • Kim, Yoog-Gon
    • Journal of the Korean Society of Safety
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    • v.21 no.1 s.73
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    • pp.120-132
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    • 2006
  • Seismic safety evaluation of concrete gravity dams is very important because failure of concrete gravity dam may incur huge loss of life and properties around the dam as well as damage to dam structure itself. Recently, there has been growing much concerns about earthquake resistance or seismic safety of existing concrete gravity darns designed before current seismic design provisions were implemented. This research develops the dynamic fluid pressure calculation using 'added mass simulation'. The actual analysis using structural analysis package was performed. According to the analysis results, the vibration which is transverse to water flow seems to be very critical depending on the shape of the dam.

Hydroelastic Vibration Analysis of Structures in Contact with Fluid

  • Chung, Kie-Tae;Kim, Young-Bok;Kang, Ho-Seung
    • Selected Papers of The Society of Naval Architects of Korea
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    • v.2 no.1
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    • pp.18-28
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    • 1994
  • In the vibration analysis of submerged or floating bodies such as ships and offshore structures, the coupled system between fluid and structure should be considered using the compatibility conditions on the wetted surface. It is well known that the hydroelastic vibration analysis of structures in contact with fluid can be done by applying the finite element method(FEM) to structures and the boundary element method(BEM) to the fluid domain. However, such an approach is impractical due to the characteristics of the fully coupled added mass matrix of fluid on the entire wetted surface. To overcome this difficulty, an efficient approach based on a reanalysis scheme is proposed in this paper. The proposed method can be applied for cases of higher local modes and beam-like modes for which three-dimensional reduction factors are not known. The three dimensional reduction factors are not needled and thus the restrictions can be removed in the analyses of non-beam like modes or local vibration modes by considering fluid-structure interaction. The validity and calculation efficiency of the proposed method are proved through numerical examples.

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Two Dimensional Added Inertia Coefficients for Straight Framed Hull Forms in Horizontal and Torsional Vibration. (직선늑골선형(直線肋骨船型)의 수평(水平) 및 비틂진동(振動)에 있어서의 2차원적(次元的) 부가관성계수(附加慣性係數))

  • S.S.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.12 no.2
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    • pp.3-12
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    • 1975
  • As for two dimensional added mass coefficients for straight framed hull forms in a free surface of an ideal fluid, theoretical calculations by F.M. Lewis, vertical, K. Wendel, J.H. Hwang, and etc. are available; vertical modes of rectangular and triangle sections by Lewis, vertical, horizontal and torsional models of rectangular and triangle section by Wendel, and systematical calculations for vertical modes of single chine forms by Hwang. In this paper, employing the conformal transformation by which a unit circle and its exterior region can conformally mapped to a polygon and its exterior region, the author calculated two dimensional added inertia coefficients systematically for straight framed sections with single chine in horizontal and torsional modes of vibrations. As the results, it was found that sloping side angle is an important factor measuring the magnitude of two dimensional added inertia coefficient for a set of given values of the sectional area coefficient and the beam-draft ratio. To grasp it cleary in physical sense, pressure distributions are investigated for some typical section contours. The numerical results are presented graphically in the form of two dimensional added sectional area coefficients with beam-draft ratios and sloping side angles as parameters, so that the data may conveniently utilized for estimation of the added inertia coefficients based on a three parameter technique.

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Motion Performance Prediction and Experiments of an Autonomous Underwater Vehicle through Fluid Drag Force Calculations (유체항력 계산을 통한 자율무인잠수정의 운동성능 예측과 실험)

  • Kim, Chang Min;Baek, Woon Kyung
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.6
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    • pp.614-619
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    • 2015
  • In this study, a dynamics model was developed to predict the motion performance of an Autonomous Underwater Vehicle (AUV). The dynamics model includes basic dynamic state variables of the hull and force terms to determine the motion of the AUV. The affecting terms for the forces are hydrostatic force, added mass, hydrodynamic damping, lift and drag forces. The force terms can be calculated using analytical and Computational Fluid Dynamics methods. For the underwater motion simulation, a simple PD controller was used. Also, the AUV was tested in a water tank and near sea for the partial verification of the fluid drag force coefficients and way-point tracking motions.

Fluid-dynamic Forces Acting on the Rotating Inner Cylinder In Concentric Annulus (동심환내에서 회전하는 실린더에 작용하는 유체동하중)

  • 심우건
    • Journal of KSNVE
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    • v.11 no.3
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    • pp.428-436
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    • 2001
  • The rotating inner cylinder executes a periodic translational motion in concentric annulus while the outer one is stationary. In the study of flow-induced vibrations and relaxed instabilities, it is of interest to evaluate the fluid-dynamic forces acting on the rotating inner cylinder. In the present work, the governing equations for the confined flow are expressed as Navier-Stokes equations, including the steady and unsteady terms. The fluid parameters for steady flow generated by the rotating cylinder are determined analytically while the unsteady ones by the oscillatory motion are evaluates by a numerical method based on the spectral collocation method. In order to validate the numerical approach, the numerical results are compared wish the analytical ones given by existing theories, for simple cases where the both approaches are applicable. Good agreement was found between the results. It is found the effects of the Reynolds number, defined by rotating velocity, on the fluid-dynamic forces are important for the case of relatively low oscillatory Reynolds number, defined by oscillatory frequency : j.e., in case of $Re_\omega\gg Re_S$.

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Stochastic Analysis of Base-Isolated Pool Structure Considering Fluid-Structure Interaction Effects (유체-구조물 상호작용을 고려한 면진구조물의 추계학적 응답해석)

  • Koh, Hyun Moo;Kim, Jae Kwan;Park, Kwan Soon;Ha, Dong Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.3
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    • pp.463-472
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    • 1994
  • A method of stochastic response analysis of base-isolated fluid-filled pool structures subject to random ground excitations is studied. Fluid-structure interaction effects between the flexible walls and contained fluid are taken into account in the form of added mass matrix derived by FEM modeling of the contained fluid motion. The stationary ground excitation is represented by Modified Clough-Penzien spectral model and the nonstationary one is obtained by imposing an envelope function on the stationary one. The stationary and nonstationary response statistics of the two different isolation systems are obtained by solving the governing Lyapunov covariance matrix differential equations.

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An Axisymmetrical Dock in Waves

  • Isshiki, H.;Hwang, J.H.
    • Bulletin of the Society of Naval Architects of Korea
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    • v.13 no.2
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    • pp.1-12
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    • 1976
  • Linearized motions of as axisymmetrical dock freely floating in a regular plane wave are discussed. An extension of the Bessho variational principle(Bessho[3]) is derived to obtain a numerical procedure for a solution of the boundary value problem associated with the fluid motion. The added mass and the damping coefficients for a circular dock in vertical(heave) and horizontal(surge) oscillations are evaluated numerically, and the resulte seems to be satisfactory.

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Underwater Structure-Borne Noise Analysis Using Finite Element/Boundary Element Coupled Approach (유한요소/경계요소 연성해석을 통한 수중 구조기인소음 해석)

  • Lee, Doo-Ho;Kim, Hyun-Sil;Kim, Bong-Ki;Lee, Seong-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.7
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    • pp.789-796
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    • 2012
  • Radiated noise analysis from a ship structure is a challenging topic owing to difficulties in the accurate calculation of the fluid-structure interaction as well as owing to a massive degree of freedom of the problem. To reduce the severity of the problem, a new fluid-structure interaction formulation is proposed in this paper. The complex frequency-dependent added mass and damping matrices are calculated using the high-order Burton-Miller boundary integral equation formulation to obtain accurate values over all frequency bands. The calculated fluid-structure interaction effects are added to the structural matrices calculated by commercial finite element software, MSC/NASTRAN. Then, the impedance and underwater radiation noise due to an excitation of structure are calculated. The present formulation is applied to a ship to calculate the underwater radiated noise.

Natural Frequency of 2-Dimensional Heaving Circular Cylinder: Frequency-Domain Analysis (상하동요하는 2차원 원주의 고유진동수: 주파수 영역 해석)

  • Lee, Dong-Yeop;Lee, Seung-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.2
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    • pp.111-119
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    • 2013
  • The concept of the natural frequency is useful for understanding the characters of oscillating systems. However, when a circular cylinder floating horizontally on the water surface is heaving, due to the hydrodynamic forces, the system is not governed by the equation like that of the harmonic one. In this paper, in order to shed some lights on the more correct use of the concept of the natural frequency, a problem of the heaving circular cylinder is analyzed in the frequency domain. Previously, it was thought that the theory of Ursell (1949) could not be used to get the added mass and wave-making damping for short waves, however, they were obtained by applying an accurate collocation method to the theory in this study. Using the so developed numerical method, we found the added mass and wave-making damping of the circular cylinder for the entire range of the frequency. Then, the MCFR(Modulus of Complex Frequency Response) was used to locate the frequency corresponding to the local maximum of MCFR and we define it as the natural frequency. Comparing our results with the previous investigation, we found that the pressure distribution on the cylinder gets close asymptotically to that of a cylinder in infinite fluid OR close to that of the cylinder, that the approximation of the natural frequency by Lee (2008) is different from our new value only by 0.64%, and that the approximation of the heaving system by an equivalent damped harmonic oscillation is not proper by the reason that is clearly shown from the comparison of the shape of the corresponding MCFRs.