• Title/Summary/Keyword: Implicit surface

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Computation of Two-Fluid Flows with Submerged hydrofoil by Interface Capturing Method (접면포착법에 의한 수중익 주위의 이층류 유동계산)

  • 곽승현
    • Journal of Korean Port Research
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    • v.13 no.1
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    • pp.167-174
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    • 1999
  • Numerical analysis of two-fluid flows for both water and air is carried out. Free-Surface flows with an arbitrary deformation have been simulated around two dimensional submerged hydrofoil. The computation is performed using a finite volume method with unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell-wise local mesh refinement. the integration in space is of second order based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels The linear equation systems are solved by conjugate gradient type solvers and the non-linearity of equations is accounted for through picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations the continuity equation the conservation equation of one species and the equations or two turbulence quantities.

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NUMERICAL SIMULATION OF DAM-BROKEN PROBLEMS USING A PARTICLE METHOD (입자법을 이용한 댐 붕괴의 수치 시뮬레이션)

  • Lee, B.H.;Jung, S.J.;Kim, Y.H.;Park, J.C.
    • Journal of computational fluids engineering
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    • v.13 no.1
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    • pp.28-34
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    • 2008
  • A particle method recognized as one of the gridless methods has been developed to investigate the nonlinear free-surface motions interacting to the structures. The method is more feasible and effective than convectional grid methods for solving the non-linear free-surface motion with complicated boundary shapes. The right-handed side of the governing equations for incompressible fluid, which includes gradient, viscous and external force terms, can be replaced by the particle interaction models. In the present study, the developed method is applied to the dam-broken problem on dried- and wet-floor and its adequacy will be discussed by the comparison with the experimental results.

Computer-aided Design and Fabrication of Bio-mimetic Scaffold for Tissue Engineering Using the Triply Periodic Minimal Surface (삼중 주기적 최소곡면을 이용한 조직공학을 위한 생체모사 스캐폴드의 컴퓨터응용 설계 및 제작)

  • Yoo, Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.7
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    • pp.834-850
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    • 2011
  • In this paper, a novel tissue engineering scaffold design method based on triply periodic minimal surface (TPMS) is proposed. After generating the hexahedral elements for a 3D anatomical shape using the distance field algorithm, the unit cell libraries composed of triply periodic minimal surfaces are mapped into the subdivided hexahedral elements using the shape function widely used in the finite element method. In addition, a heterogeneous implicit solid representation method is introduced to design a 3D (Three-dimensional) bio-mimetic scaffold for tissue engineering from a sequence of computed tomography (CT) medical image data. CT image of a human spine bone is used as the case study for designing a 3D bio-mimetic scaffold model from CT image data.

NUMERICAL SIMULATION OF DAM-BROKEN PROBLEMS USING A PARTICLE METHOD (입자법을 이용한 댐 붕괴의 수치 시뮬레이션)

  • Park, J.C.;Lee, B.H.;Jung, S.J.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.258-263
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    • 2007
  • A particle method recognized as one of the gridless methods has been developed to investigate the nonlinear free-surface motions interacting to the structures. The method is more feasible and effective than convectional grid methods for solving the non-linear free-surface motion with complicated boundary shapes. The right-handed side of the governing equations for incompressible fluid, which includes gradient, viscous and external force terms, can be replaced by the particle interaction models. In the present study, the developed method is applied to the dam-broken problem on dried- and wet-floor and its adequacy will be discussed by the comparison with the experimental results.

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Computation of Water and Air Flow with Submerged Hydrofoil by Interface Capturing Method

  • Kwag, Seung-Hyun
    • Journal of Mechanical Science and Technology
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    • v.14 no.7
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    • pp.789-795
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    • 2000
  • Free-surface flows with an arbitrary deformation, induced by a submerged hydrofoil, are simulated numerically, considering two-fluid flows of both water and air. The computation is performed by a finite volume method using unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell wise local mesh refinement. The integration in space is of second order, based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels. The linear equations are solved by conjugate gradient type solvers, and the non-linearity of equations is accounted for through Picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations, the continuity equation, the conservation equation of one species, and the equations for two turbulence quantities. Finally, a comparison is quantitatively made at the same speed between the computation and experiment in which the grid sensitivity is numerically checked.

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NUMERICAL ANALYSIS OF VENTILATED CAVITATION WITH FREE SURFACE EFFECTS (자유표면 영향을 고려한 환기공동 전산유동해석)

  • Jin, M.S.;Kim, H.Y.;Ha, C.T.;Park, W.G.
    • Journal of computational fluids engineering
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    • v.18 no.1
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    • pp.13-21
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    • 2013
  • Cavitating flow is usually formed on the surface of a high speed underwater object. When a object moves near a free surface at very high speed, the cavity signature becomes one of the major factors to be overcome by sensors of military satellite. The present work was to study the free surface effect on the ventilated cavitation. The governing equations were Navier-Stokes equations based on a homogeneous mixture model. The multiphase flow solver used an implicit preconditioning method in the curvilinear coordinate system. The cavitation model used here was the one first presented by Merkle et al.(2006) and redeveloped by Park & Ha(2009). Computations considered the free surface effects were carried out with a NACA0012 hydrofoil and the corresponding results were compared with the experimental data to have a good agreement. Calculations were then performed considering the ventilated cavitation, including the effect of non-condensable gas under the free surface effects.

Survey on 3D Surface Reconstruction

  • Khatamian, Alireza;Arabnia, Hamid R.
    • Journal of Information Processing Systems
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    • v.12 no.3
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    • pp.338-357
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    • 2016
  • The recent advent of increasingly affordable and powerful 3D scanning devices capable of capturing high resolution range data about real-world objects and environments has fueled research into effective 3D surface reconstruction techniques for rendering the raw point cloud data produced by many of these devices into a form that would make it usable in a variety of application domains. This paper, therefore, provides an overview of the existing literature on surface reconstruction from 3D point clouds. It explains some of the basic surface reconstruction concepts, describes the various factors used to evaluate surface reconstruction methods, highlights some commonly encountered issues in dealing with the raw 3D point cloud data and delineates the tradeoffs between data resolution/accuracy and processing speed. It also categorizes the various techniques for this task and briefly analyzes their empirical evaluation results demarcating their advantages and disadvantages. The paper concludes with a cross-comparison of methods which have been evaluated on the same benchmark data sets along with a discussion of the overall trends reported in the literature. The objective is to provide an overview of the state of the art on surface reconstruction from point cloud data in order to facilitate and inspire further research in this area.

Comparative Analysis for Numerical Modeling of Tidal Current on Geum River Estuary (금강하구 해역에 대한 조류 수치모델링의 비교 해석)

  • Kang, Sung-Jun;Park, Young-Ki
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.9
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    • pp.3583-3589
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    • 2010
  • The semi-implicit scheme proposed by Backhaus is introduced to solve two-dimensional shallow water equation. This mothod is applied for the numerical model solving surface elevation and velocity field of Geum River estuary. For the verification of the method, numerical solutions by this model are compared with ones by Heap's well known explicit model. Solutions of two models resemble each other. The time-step chosen for the semi-implicit scheme turned out to be 3 to 6 times longer than explicit model depending on the stringent CFL criterion. The computation time could be reduced at least 50%. It was proved that this scheme is easy to handle dry banks which can be seen in Geum River estuary and numerical stability is obtained for long time computation.

CONSEQUENCE OF BACKWARD EULER AND CRANK-NICOLSOM TECHNIQUES IN THE FINITE ELEMENT MODEL FOR THE NUMERICAL SOLUTION OF VARIABLY SATURATED FLOW PROBLEMS

  • ISLAM, M.S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.19 no.2
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    • pp.197-215
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    • 2015
  • Modeling water flow in variably saturated, porous media is important in many branches of science and engineering. Highly nonlinear relationships between water content and hydraulic conductivity and soil-water pressure result in very steep wetting fronts causing numerical problems. These include poor efficiency when modeling water infiltration into very dry porous media, and numerical oscillation near a steep wetting front. A one-dimensional finite element formulation is developed for the numerical simulation of variably saturated flow systems. First order backward Euler implicit and second order Crank-Nicolson time discretization schemes are adopted as a solution strategy in this formulation based on Picard and Newton iterative techniques. Five examples are used to investigate the numerical performance of two approaches and the different factors are highlighted that can affect their convergence and efficiency. The first test case deals with sharp moisture front that infiltrates into the soil column. It shows the capability of providing a mass-conservative behavior. Saturated conditions are not developed in the second test case. Involving of dry initial condition and steep wetting front are the main numerical complexity of the third test example. Fourth test case is a rapid infiltration of water from the surface, followed by a period of redistribution of the water due to the dynamic boundary condition. The last one-dimensional test case involves flow into a layered soil with variable initial conditions. The numerical results indicate that the Crank-Nicolson scheme is inefficient compared to fully implicit backward Euler scheme for the layered soil problem but offers same accuracy for the other homogeneous soil cases.

Ray Tracing Implicit Surface Using Interval Method (Interval Method를 이용한 음함수 곡면의 렌더링)

  • 정재광;노현아;김재정
    • Proceedings of the Korean Information Science Society Conference
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    • 2003.04c
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    • pp.220-222
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    • 2003
  • 부정형 물체의 모양을 모델링 하는데 긴요하게 쓰이는 일반적인 음함수 곡면은 골격요소의 종류를 다양하게 선택함에 따라 모델링의 기능이 향상되는 반면 렌더링은 상대적으로 어려워진다. 본 논문에서는 점(point)과 함께 선분이나 원 등이 혼합된 골격 요소로 구성된 음함수 곡면의 렌더링을 위하여 interval method를 이용하는 광선 추적법을 제안한다. interval method는 점이 아닌 다른 모양의 골격 요소에 적용할 때는 난이도가 훨씬 증가하지만 광선과의 교차점을 구하는 등의 상대적으로 어려운 계산과정을 효과적으로 단순화 할 수 있다는 장점이 있다.

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