• Title/Summary/Keyword: 레벨셋 법

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A Numerical Study on the Sloshing Characteristics in a Two-dimensional Rectangular Tank Using the Level Set Method (레벨셋법을 이용한 2 차원 사각 탱크 내부의 슬로싱 특성에 관한 수치적 연구)

  • Yoon, Hyun-Sik;Lee, Jung-Min;Chun, Hwan-Ho;Lee, Hyun-Goo
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.2
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    • pp.132-143
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    • 2008
  • The sloshing phenomena in a two-dimensional rectangular tank are investigated using a level set method based on finite volume method. The code validations are performed by comparing between the present results and previous numerical results, which gives a good agreement. We present the streamlines pattern, free surface shape, maximum free surface elevation and pressure fluctuation patterns in the tank under the pitch and surge motions with various frequencies. These two different motions cause the different flow structures in the tank. The time variations of surface elevation and pressure at the different locations in the tank strongly depend on the exciting frequency of tank moving.

Efficient Opaque Ice Sphere Formation Using a Lightweight Geometric Approach

  • Jong-Hyun Kim
    • Journal of the Korea Society of Computer and Information
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    • v.29 no.3
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    • pp.91-98
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    • 2024
  • In this paper, we present a particle-grid blending framework based on a geometric approach to efficiently represent opaque ice spheres with air bubbles. The water temperature is diffused through the grid and the air bubbles represented inside the ice through the particles. To solve the problem of previous methods that generate noisy dissolved air fields, we use levelsets to lighten the algorithm, i.e., the number of active particles and the initial amount of dissolved oxygen can be used to efficiently control the termination conditions of heat diffusion. We also extend the previous dissolved air field method, which only computes near air bubbles, to transparent regions to represent realistic ice spheres, and introduce a levelset-based approach to accurately compute the orientation of particles. As a result, the method presented in this paper is about three times faster than the existing methods and shows visually improved visualization of opaque ice spheres, which can be used in the field of representing physical virtual ice forms.

Lightweight Design of Shell Structures Using Adaptive Inner-Front Level Set Based Topology Optimization (AIFLS-TOP) (적응적 내부 경계 레벨셋 기반 위상최적화를 이용한 쉘 구조물의 경량화 설계)

  • Park, Kang-Soo;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.12
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    • pp.1180-1187
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    • 2007
  • In the present work, topology optimization method using adaptive inner-front level set method is presented. In the conventional level set based topology optimization method, there exists an incapability for inner-front creation during optimization process. In this regard, as a new attempt to avoid and to overcome the limitation, an inner-front creation algorithm is proposed. In the inner-front creation algorithm, the strain energy density of a structure along with volume constraint is considered. Especially, to facilitate the inner-front creation process during the optimization process, the inner-front creation map which corresponds to the discrete valued function of strain energy density is constructed. In the evolution of the level set function during the optimization process, the least-squares finite element method (LSFEM) is employed. As an application to shell structures, the lightweight design of doubly curved shell and segmented mirror is carried out.

Modeling for Evolution of a 3-dimensional Structure on Semiconductor Substrate (반도체 기판 위의 3차원 구조에 대한 형상 진화 모델링 연구)

  • Jung, Hyun-Su;Won, Tae-Young
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.12
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    • pp.24-28
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    • 2000
  • This paper reports a new calculation method of three dimensional deposeition rate by level set method. To model an advancement of the surface efficiently, we have developed a new iteration method to re-initialize the level set function. For calculating etching and deposition rate by direct flow, we have developed a visibility test module and a refraction and re-sputtering model. Sputter deposition rate with shadow effect and surface refraction is calculated. We report that difference of profiles in cases that sticking coefficient are 1.0 and 0.3. We report that the difference of the deposition rate on bottom of the hole is caused by a difference of visible angle by the shadowing effect.

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Application of CIP Method on Advection Equation by Adaptive Mesh Refinement (AMR-CIP법을 이용한 이류 방정식에 관한 수치해석)

  • Yoon, Seong-Young
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.7
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    • pp.871-878
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    • 2004
  • An accurate adaptive mesh refinement based on the CIP method is proposed and it is applied to solve the two dimensional advection equations. In this method, the level set function is employed to refine and merge the computation cells. To enhance the accuracy of the solution, the spatial discretization is made by the CIP method. The CIP method has many advantages such as the third order accuracy, less diffusivity, and shape conserving. The mathematical formulation and numerical results are also described. To verify the efficiency, accuracy, and capability of the proposed algorithim, two dimensional rotating slotted cylinder and idealized frontogenesis are numerically simulated by the present scheme. As results, it is confirmed that the present method gives an efficient, reasonable solution in the advection equation.

A Study on a VOF Method for the Improvement of Free Surface Capturing (VOF 법의 자유수면 포착정도 향상을 위한 연구)

  • Park, Il-Ryong;Kim, Wu-Joan;Kim, Jin;Van, Suak-Ho
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.2 s.140
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    • pp.88-97
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    • 2005
  • A new numerical scheme solving two-phase flow, the Hybrid VOF method for improved free surface capturing has been developed by combining a volume capturing VOF method with the Level-Set reinitialization procedure. For validation, the proposed method is applied to 3-D bubble rising problem, dam breaking and the free surface flow around a commercial container ship. The calculated results by using the Hybrid VOF method with the two previously applied VOF formulations are compared with available numerical and experimental data. It is found that the new method provides more reasonable results than the two previous ones.

FINITE ELEMENT ANALYSIS OF LEVEL SET FORMULATION (유한요소법을 이용한 level set 공식화의 해석)

  • Choi, H.G.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.223-227
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    • 2009
  • In the present study, a least square weighted residual method and Taylor-Galerkin method were formulated and tested for the discretization of the two hyperbolic type equations of level set method; advection and reinitialization equations. The two approaches were compared by solving a time reversed vortex flow and three-dimensional broken dam flow by employing a four-step splitting finite element method for the solution of the incompressible Navier-Stokes equations. From the numerical experiments, it was shown that the least square method is more accurate and conservative than Taylor-Galerkin method and both methods are approximately first order accurate when both advection and reinitialization phase are involved in the evolution of free surface.

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A Study on a VOF Method for Improved Free Surface Capturing (VOF법의 자유수면 포착정도 향상을 위한 연구)

  • Park Il-Ryong;Kim Wu-Joan;Kim Jin;Van Suak-Ho
    • 한국전산유체공학회:학술대회논문집
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    • 2005.04a
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    • pp.202-206
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    • 2005
  • A new numerical scheme for two-phase flows, the Hybrid VOF method has been developed for improved free surface capturing. The present new method is a volume capturing based VOF method coupled with a reinitialization procedure of a Level-set method. For validation, the proposed method is applied to two test cases: spherical bubble rising and dam breaking. The calculated results by using the Hybrid VOF method with the two previously applied VOF formulations are compared with available numerical and experimental data. It is found that the new method provides more accurate results than the two previous ones.

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Analysis of Resistance Performance of Modern Commercial Ship Hull Form using a Level-Set Method (Level-Set법을 이용한 일반상선의 저항성능 해석)

  • Park, Il-Ryong;Kim, Jin;Van, Suak-Ho
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.2
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    • pp.79-89
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    • 2004
  • The viscous free surface flow around KRISO container ship (KCS) is computed using the finite volume based multi block RANS code, WAVIS developed at KRISO. The free surface is captured with the Level-Set method and the realizable k-$\varepsilon$ model is employed for turbulence closure. The computations are carried out at model scale. For accurate free surface solution and its stable convergence the computations are performed with a suitable grid refinement around the free surface by applying an implicit discretization method based on a finite volume method to the Level-Set formulation. In all computational cases the numerical results agree well with experimental measurements.

Numerical Analysis of Ship Motions in Beam Sea Using Unsteady RANS and Overset Grid Methods (비정상 RANS 법과 중첩격자계를 이용한 횡파중 선박운동 수치해석)

  • Park, Il-Ryong;Hosseini, Seyed Hamid Sadat;Stern, Frederick
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.2
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    • pp.109-123
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    • 2008
  • The present paper presents the CFD result for a beam wave test case. An ONR tumblehome ship model with bilge keels is used. The beam wave test is for zero forward speed and roll and heave 2DOF with wave slope $a_k=0.156$ and wavelength ${\lambda}=1.12L_{PP}$, with $L_{PP}$ the ship length. The problems is solved numerically with an unsteady Reynolds averaged Navier-Stokes approach. The free surface flow is computed using a single-phase level-set method and the motions in each time step are integrated using a predictor-corrector iteration approach which uses dynamic overset grids moving with relative ship motion. The predicted CFD results for motions and forces are compared with experimental data, showing a reasonable agreement.