• Title/Summary/Keyword: Fluid and Rigid body

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Interactive Simulation between Rigid body and Fluid using Simplified Fluid-Surface Model (간략화된 유체 표면모델을 이용한 강체와 유체의 상호작용 시뮬레이션)

  • Kim, Eun-Ju
    • Journal of Korea Multimedia Society
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    • v.12 no.2
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    • pp.323-328
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    • 2009
  • Natural Phenomena are simulated to make computer users feel verisimilitude and be immersed in games or virtual reality. The important factor in simulating fluid such as water or sea using 3D rendering technology in games or virtual reality is real-time interaction and reality. There are many difficulties in simulating fluid models because it is controlled by many equations of each specific situation and many parameter values. In addition, it needs a lot of time in processing physically-based simulation. In this paper, I suggest simplified fluid-surface model in order to represent interaction between rigid body and fluid, and it can make faster simulation by improved processing. Also, I show movement of fluid surface which is come from collision of rigid body caused by reaction of fluid in representing interaction between rigid body and fluid surface. This natural fluid-surface model suggested in this paper is represented realistically in real-time using fluid dynamics veri similarly. And the fluid-surface model will be applicable in games or animation by realizing it for PC environment to interact with this.

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HELMHOLTZ DECOMPOSITION AND SEMIGROUP THEORY TO THE FLUID AROUND A MOVING BODY

  • Bae, Hyeong-Ohk
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.661-676
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    • 2020
  • To understand the interaction of a fluid and a rigid body, we use the concept of B-evolution. Then in a similar way to the usual Navier-Stokes system, we obtain a Helmholtz type decomposition. Using B-evolution theory and the decomposition, we work on the semigroup to analyze the linear part of the system.

Self-similarity in the equation of motion of a ship

  • Lee, Gyeong Joong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.2
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    • pp.333-346
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    • 2014
  • If we want to analyze the motion of a body in fluid, we should use rigid-body dynamics and fluid dynamics together. Even if the rigid-body and fluid dynamics are each self-consistent, there arises the problem of self-similar structure in the equation of motion when the two dynamics are coupled with each other. When the added mass is greater than the mass of a body, the calculated motion is divergent because of its self-similar structure. This study showed that the above problem is an inherent problem. This problem of self-similar structure may arise in the equation of motion in which the fluid dynamic forces are treated as external forces on the right hand side of the equation. A reconfiguration technique for the equation of motion using pseudo-added-mass was proposed to resolve the self-similar structure problem; specifically for the case when the fluid force is expressed by integration of the fluid pressure.

A Structural Analysis on the Leaflet Motion Induced by the Blood Flow for Design of a Bileaflet Mechanical Heart Valve Prosthesis

  • Kwon, Young-Joo;Kim, Chang-Nyung;Lee, Jae-Won
    • Journal of Mechanical Science and Technology
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    • v.17 no.9
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    • pp.1316-1323
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    • 2003
  • This paper presents a structural analysis on the rigid and deformed motion of the leaflet induced by the blood flow required in the design of a bileaflet mechanical heart valve (MHV) prosthesis. In the study on the design and the mechanical characteristics of a bileaflet mechanical heart valve, the fluid mechanics analysis on the blood flow passing through leaflets, the kinetodynamics analysis on the rigid body motion of the leaflet induced by the pulsatile blood flow, and the structural mechanics analysis on the deformed motion of the leaflet are required sequentially and simultaneously. Fluid forces computed in the previous hemodynamics analysis on the blood flow are used in the kinetodynamics analysis on the rigid body motion of the leaflet. Thereafter, the structural mechanics analysis on the deformed motion of the leaflet follows to predict the structural strength variation of the leaflet as the leaflet thickness changes. Analysis results show that structural deformations and stresses increase as the fluid pressure increases and the leaflet thickness decreases. Analysis results also show that the leaflet becomes structurally weaker and weaker as the leaflet thickness becomes smaller than 0.6 mm.

FLUID-BODY INTERACTION ANALYSIS OF FLOATING BODY IN THREE DIMENSIONS (3차원 부유체의 유체-물체 연성해석)

  • Go, G.S.;Ahn, H.T.
    • Journal of computational fluids engineering
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    • v.20 no.2
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    • pp.103-108
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    • 2015
  • Fluid-body interaction analysis of floating body with six degree-of-freedom motion is presented. In this study, three-dimensional incompressible Navier-Stokes equations are employed as a governing equation. The numerical method is based on a finite-volume approach on a cartesian grid together with a fractional-step method. To represent the body motion, the immersed boundary method for direct forcing is employed. In order to simulate the coupled six degree-of-freedom motion, Euler's equations based on rigid body dynamics are utilized. To represent the complex body shape, level-set based algorithm is utilized. In order to describe the free surface motion, the volume of fluid method utilizing the tangent of hyperbola for interface capturing scheme is employed. This study showed three different continuums(air, water and body) are simultaneously simulated by newly developed code. To demonstrate the applicability of the current approach, two different problems(dam-breaking with stationary obstacle and water entry) are simulated and all results are validated.

Global hydroelastic model for springing and whipping based on a free-surface CFD code (OpenFOAM)

  • Seng, Sopheak;Jensen, Jorgen Juncher;Malenica, Sime
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.4
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    • pp.1024-1040
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    • 2014
  • The theoretical background and a numerical solution procedure for a time domain hydroelastic code are presented in this paper. The code combines a VOF-based free surface flow solver with a flexible body motion solver where the body linear elastic deformation is described by a modal superposition of dry mode shapes expressed in a local floating frame of reference. These mode shapes can be obtained from any finite element code. The floating frame undergoes a pseudo rigid-body motion which allows for a large rigid body translation and rotation and fully preserves the coupling with the local structural deformation. The formulation relies on the ability of the flow solver to provide the total fluid action on the body including e.g. the viscous forces, hydrostatic and hydrodynamic forces, slamming forces and the fluid damping. A numerical simulation of a flexible barge is provided and compared to experiments to show that the VOF-based flow solver has this ability and the code has the potential to predict the global hydroelastic responses accurately.

An Improved Dynamics Model for Stone Skipping Simulation (물수제비 시뮬레이션을 위한 개선된 동역학 모델)

  • Lee, Nam-Kyung;Baek, Nak-Hoon
    • Journal of Korea Multimedia Society
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    • v.13 no.9
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    • pp.1382-1390
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    • 2010
  • We can see interactions between rigid body and fluid every day, anywhere. This kind of rigid body-fluid simulation is one of the most difficult problems in physically-based modeling, mainly due to heavy computations. In this paper, we present a real-time dynamics model for simulating stone skipping, which is a popular rigid body-fluid interaction in the real world. In comparison to the previous works, our improved dynamics model supports the rotation of the stones and also computes frictional forces with respect to the air. We can simulate a realistic result for various user input by using proposed model. Additionally, we present a water surface model to show more realistic ripples interactively. Our methods can be easily adapted to other interactive dynamics systems including 3D game engines.

Simulation of free falling rigid body into water by a stabilized incompressible SPH method

  • Aly, Abdelraheem M.;Asai, Mitsuteru;Sonoda, Yoshimi
    • Ocean Systems Engineering
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    • v.1 no.3
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    • pp.207-222
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    • 2011
  • A stabilized incompressible smoothed particles hydrodynamics (ISPH) method is utilized to simulate free falling rigid body into water domain. Both of rigid body and fluid domain are modeled by SPH formulation. The proposed source term in the pressure Poisson equation contains two terms; divergence of velocity and density invariance. The density invariance term is multiplied by a relaxed parameter for stabilization. In addition, large eddy simulation with Smagorinsky model has been introduced to include the eddy viscosity effect. The improved method is applied to simulate both of free falling vessels with different materials and water entry-exit of horizontal circular cylinder. The applicability and efficiency of improved method is tested by the comparisons with reference experimental results.

Interaction of Fluid and Thin Shell Structure with Signed Distance Fields (거리 장 함수를 이용한 얇은 막과 유체의 예측 기반 상호작용 시뮬레이션)

  • Kim, Po-Ram;Shin, Seung-Ho;Lim, Jae-Ho;Kim, Chang-Hun
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.1
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    • pp.17-24
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    • 2011
  • In Computer Graphics, interaction between a particle-based fluid and a rigid body is important. In General, this interaction has been simulated in a discrete environment. As a result, there have been lots of errors. The larger the time step is used, the bigger the error is. This paper describes how to minimize the error in a discrete environment. To be specific, the collision handling method is that estimates particle collision using a signed distance function increases continuously according to space. At the time a fluid particle and a rigid body model collide, the exact collision time and the position is estimated. Through this, we propose the method how to be simulated the interaction between a fluid and a rigid body model as a continuous environment.

Strongly coupled partitioned six degree-of-freedom rigid body motion solver with Aitken's dynamic under-relaxation

  • Chow, Jeng Hei;Ng, E.Y.K.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.4
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    • pp.320-329
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    • 2016
  • An implicit method of solving the six degree-of-freedom rigid body motion equations based on the second order Adams-Bashforth-Moulten method was utilised as an improvement over the leapfrog scheme by making modifications to the rigid body motion solver libraries directly. The implementation will depend on predictor-corrector steps still residing within the hybrid Pressure Implicit with Splitting of Operators - Semi-Implicit Method for Pressure Linked Equations (PIMPLE) outer corrector loops to ensure strong coupling between fluid and motion. Aitken's under-relaxation is also introduced in this study to optimise the convergence rate and stability of the coupled solver. The resulting coupled solver ran on a free floating object tutorial test case when converged matches the original solver. It further allows a varying 70%-80% reduction in simulation times compared using a fixed under-relaxation to achieve the required stability.