• 제목/요약/키워드: A level-set method

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A Level-Set Method for Simulation of Drop Motions

  • Son, Gi-Hun;Hur, Nahm-Keon;Suh, Young-Ho;Lee, Sang-Hyuk
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.340-346
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    • 2008
  • A level-set method is developed for computation of drop motions in various engineering applications. Compared with the volume-of-fluid method based on a non-smooth volume-fraction function, the LS method can calculate an interface curvature more accurately by using a smooth distance function. Also, it is straightforward to implement for two-phase flows in complex geometries unlike the VOF method requiring much more complicated geometric calculations. The LS method is applied to simulation of inkjet process, thin film pattering and droplet collisions.

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레벨셋 기법을 이용한 전기습윤 현상의 동적 거동에 대한 해석 및 물성 보간 방법에 대한 고찰 (ANALYSIS OF ELECTROWETTING DYNAMICS WITH LEVEL SET METHOD AND ASSESSMENT OF PROPERTY INTERPOLATION METHODS)

  • 박준권;강관형
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.551-555
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    • 2010
  • Electrowetting is a versatile tool to handle tiny droplets and forms a backbone of digital microfluidics. Numerical analysis is necessary to fully understand the dynamics of electrowetting, especially in designing electrowetting-based devices, such as liquid lenses and reflective displays. We developed a numerical method to analyze the general contact-line problems, incorporating dynamic contact angle models. The method is based on the conservative level set method to capture the interface of two fluids without loss of mass. We applied the method to the analysis of spreading process of a sessile droplet for step input voltages and oscillation of the droplet for alternating input voltages in electrowetting. The result was compared with experimental data. It is shown that contact line friction significantly affects the contact line motion and the oscillation amplitude. The pinning process of contact line was well represented by including the hysteresis effect in the contact angle models. In level set method, in the mean time, material properties are made to change smoothly across an interface of two materials with different properties by introducing an interpolation or smoothing scheme. So far, the weighted arithmetic mean (WAM) method has been exclusively adopted in level set method, without complete assessment for its validity. We viscosity, thermal conductivity, electrical conductivity, and permittivity, can be an alternative. I.e., the WHM gives more accurate results than the WAM method in certain circumstances. The interpolation scheme should be selected considering various characteristics including type of property, ratio of property of two fluids, geometry of interface, and so on.

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Compar ison of Level Set-based Active Contour Models on Subcor tical Image Segmentation

  • Vongphachanh, Bouasone;Choi, Heung-Kook
    • 한국멀티미디어학회논문지
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    • 제18권7호
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    • pp.827-833
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    • 2015
  • In this paper, we have compared three level set-based active contour (LSAC) methods on inhomogeneous MR image segmentation which is known as an important role of brain diseases to diagnosis and treatment in early. MR image is often occurred a problem with similar intensities and weak boundaries which have been causing many segmentation methods. However, LSAC method could be able to segment the targets such as the level set based on the local image fitting energy, the local binary fitting energy, and local Gaussian distribution fitting energy. Our implemented and tested the subcortical image segmentations were the corpus callosum and hippocampus and finally demonstrated their effectiveness. Consequently, the level set based on local Gaussian distribution fitting energy has obtained the best model to accurate and robust for the subcortical image segmentation.

다중 해상도 레벨 세트 방식을 이용한 기하 활성 모델 (A Geometric Active Contour Model Using Multi Resolution Level Set Methods)

  • 김성곤;김두영
    • 한국정보처리학회논문지
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    • 제6권10호
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    • pp.2809-2815
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    • 1999
  • Level set, and active contour(snakes) models are extensively used for image segmentation or shape extraction in computer vision. Snakes utilize the energy minimization concepts, and level set is based on the curve evolution in order to extract contours from image data. In general, these two models have their own drawbacks. For instance, snake acts pooly unless it is placed close to the wanted shape boundary, and it has difficult problem when image has multiple objects to be extracted. But, level set method is free of initial curve position problem, and has ability to handle topology of multiple objects. Nevertheless, level set method requires much more calculation time compared to snake model. In this paper, we use good points of two described models and also apply multi resolution algorithm in order to speed up the process without decreasing the performance of the shape extraction.

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실시간 멀티미디어 데이터베이스 환경을 위한 효율적인 버퍼교체 기법 설계 및 구현 (Design and Implementation of an Efficient Buffer Replacement Method for Real-time Multimedia Databases Environments)

  • 신재룡;피준일;유재수;조기형
    • 한국멀티미디어학회논문지
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    • 제5권4호
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    • pp.372-385
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    • 2002
  • 본 논문에서는 실시간 멀티미디어 데이터를 위한 효율적인 버퍼 교체 기법을 제안한다. 제안하는 기법은 실시간 특성을 고려하기 위해 다단계의 우선순위 레벨을 갖는다. 각 우선순위 레벨은 처음 참조된 데이터를 위한 콜드 셋(cold set)과 재 참조된 데이터를 위한 핫 셋(hot set)으로 구분된다. 희생 데이터 선정 작업은 버퍼 할당을 요구하는 트랜잭션의 우선순위 레벨보다 낮은 레벨만을 대상으로 콜드 셋의 최하위 레벨부터 핫 셋의 최상위 레벨까지 순차적으로 수행된다. 콜드 셋의 각 레벨에서는 가장 큰 미디어부터 교체 대상으로 선정하고, 핫 셋의 각 레벨에서는 가장 긴 참조 간격을 갖는 미디어부터 선정한다. 이로 인해 한정된 버퍼 공간에 많은 수의 인기 있는 미디어를 오랫동안 유지시킬 수 있으므로 버퍼 히트 비율이 증가되고, 많은 수의 서비스 요청을 처리할 수 있게 되어 전체적인 시스템 성능은 향상된다. 제안하는 기법에 대한 성능 평가에서는 Priority-Hints 기법을 대상으로 버퍼 히트 비율 및 트랜잭션의 마감시간 초과 비율을 비교한다. 이를 통해 기존의 기법들보다 제안하는 기법의 성능이 뛰어남을 보인다.

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레벨셋 기법을 이용한 전기습윤 현상의 동적 거동에 대한 해석 (ANALYSIS OF ELECTROWETTING DYNAMICS WITH CONSERVATIVE LEVEL SET METHOD)

  • 박준권;홍지우;강관형
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.84-87
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    • 2009
  • Electrowetting is a versatile tool to handle tiny droplets and forms a backbone of digital microfluidics. Numerical analysis is necessary to fully understand the dynamics of electrowetting, especially in designing electrowetting-based devices, such as liquid lenses and reflective displays. We developed a numerical method to analyze the general contact-line problems, incorporating dynamic contact angle models. The method is based on the conservative level set method to capture the interface of two fluids without loss of mass. We applied the method to the analysis of spreading process of a sessile droplet for step input voltages and oscillation of the droplet for alternating input voltages in electrowetting. The result was compared with experimental data. It is shown that contact line friction significantly affects the contact line motion and the oscillation amplitude. The pinning process of contact line was well represented by including the hysteresis effect in the contact angle models.

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Level Contour Reconstruction 방법을 이용한 다상유동 수치해석 (NUMERICAL SIMULATION OF MULTIPHASE FLOW USING LEVEL CONTOUR RECONSTRUCTION METHOD)

  • 신승원
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.193-200
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    • 2009
  • Recently, there have been efforts to construct hybrids among the existing methodologies for multiphase flow such as VOF, Level Set, and Front Tracking with the intention of facilitating simulations of general three-dimensional problems. As one of the hybrid method, we have developed the Level Contour Reconstruction Method (LCRM) for general three-dimensional multiphase flows including phase change. The main idea was focused on simplicity and a robust algorithm especially for the three-dimensional case. It combines characteristics of both Front Tracking and Level Set methods. While retaining an explicitly tracked interface using interfacial elements, the calculation of a vector distance function plays a crucial role in the periodic reconstruction of the interface elements in the LCRM method to maintain excellent mass conservation and interface fidelity. In addition, compact curvature formulation is incorporated for the calculation of the surface tension force thereby reducing parasitic currents to a negligible level.

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Level Set 방법을 이용한 액적 충돌 현상에 대한 수치해석 (A Numerical Analysis on the Binary Droplet Collision with the Level Set Method)

  • 이상혁;허남건
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.559-564
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    • 2008
  • A prediction of binary droplets collision is important in the formation of falling drops and the evolution of sprays. The droplet velocity, impact parameter and drop-size ratio have influence on the interaction of the droplets. By the effect of these parameter, the collision processes are generated with the complicated phenomena. The droplet collision can be classified into four interactions such as the bouncing, coalescence, reflexive separation and stretching separation. In this study, the two-phase flow of the droplet collision was simulated numerically by using the Level Set method. 2D axi-symmetric simulations on the head-on collisions in the coalescence and reflexive separation, and 3D simulation on the off-center collisions in the coalescence and stretching separation were performed. These numerical results showed good agreements with the experimental and analytical results. For tracking the identity of droplets after the collision, transport equation for the volume fraction of the each initial droplet were used. From this, the identities of droplets were analyzed on the collision of droplets having different size.

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NUFLEX의 다상유동 해석 (NUMERICAL ANALYSIS OF MULTIPHASE FLOW BY NUFLEX)

  • 손기헌;서영호;유태진;허남건
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 춘계 학술대회논문집
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    • pp.95-98
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    • 2007
  • A general purpose program NUFLEX has been extended for two-phase flows with topologically complex interface and cavitation flows with liquid-vapor phase change caused by large pressure drop. In analysis of two-phase flow, the phase interfaces are tracked by employing a LS(Level Set) method. Compared with the VOF(Volume-of-Fluid} method based on a non-smooth volume-fraction function, the LS method can calculate an interfacial curvature more accurately by using a smooth distance function. Also, it is quite straightforward to implement for 3-D irregular meshes compared with the VOF method requiring much more complicated geometric calculations. Also, the cavitation process is computed by including the effects of evaporation and condensation for bubble formation and collapse as well as turbulence in flows. The volume-faction and continuity equations are adapted for cavitation models with phase change. The LS and cavitation formulation are implemented into a general purpose program for 3-D flows and verified through several test problems.

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The smooth topology optimization for bi-dimensional functionally graded structures using level set-based radial basis functions

  • Wonsik Jung;Thanh T. Banh;Nam G. Luu;Dongkyu Lee
    • Steel and Composite Structures
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    • 제47권5호
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    • pp.569-585
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    • 2023
  • This paper proposes an efficient approach for the structural topology optimization of bi-directional functionally graded structures by incorporating popular radial basis functions (RBFs) into an implicit level set (ILS) method. Compared to traditional element density-based methods, a level set (LS) description of material boundaries produces a smoother boundary description of the design. The paper develops RBF implicit modeling with multiquadric (MQ) splines, thin-plate spline (TPS), exponential spline (ES), and Gaussians (GS) to define the ILS function with high accuracy and smoothness. The optimization problem is formulated by considering RBF-based nodal densities as design variables and minimizing the compliance objective function. A LS-RBF optimization method is proposed to transform a Hamilton-Jacobi partial differential equation (PDE) into a system of coupled non-linear ordinary differential equations (ODEs) over the entire design domain using a collocation formulation of the method of lines design variables. The paper presents detailed mathematical expressions for BiDFG beams topology optimization with two different material models: continuum functionally graded (CFG) and mechanical functionally graded (MFG). Several numerical examples are presented to verify the method's efficiency, reliability, and success in accuracy, convergence speed, and insensitivity to initial designs in the topology optimization of two-dimensional (2D) structures. Overall, the paper presents a novel and efficient approach to topology optimization that can handle bi-directional functionally graded structures with complex geometries.