• 제목/요약/키워드: level-set function

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위상 민감도를 이용한 초탄성 비선형 구조의 레벨셋 기반 위상 및 형상 최적설계 (Level Set Based Topological Shape Optimization of Hyper-elastic Nonlinear Structures using Topological Derivatives)

  • 김민근;하승현;조선호
    • 한국전산구조공학회논문집
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    • 제25권6호
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    • pp.559-567
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    • 2012
  • 초탄성을 고려한 비선형 구조의 레벨셋 기반 위상 및 형상 최적설계 방법을 개발하였다. 전체 영역에서 재료의 극단적인 불균형 분포로 기인하는 부정확한 접강성행렬(tangent stiffness matrix)로 인해, 비선형 문제의 위상 최적설계는 심각한 수렴성의 어려움을 겪는다. 이를 해결하기 위해, 임의의 형상을 표현할 수 있는 레벨셋 방법의 장점을 이용하여 정확한 접강성 행렬을 구하기 위해 명시적인 경계(explicit boundary)를 이용하였다. 레벨셋 함수로 표현되는 임의의 영역을 암시적 고정 격자(implicit fixed grid)를 이용하여 계산하는 것 대신에 명시적으로 그 영역을 이산화하기 위해 딜라우네이 삼각화 기법(Delaunay triangulation scheme)을 이용하였다. 레벨셋 방정식을 풀기 위해 최적화 조건으로부터 라그란지안(Lagrangian; 목적함수)가 감소하는 방향이 되도록 속도장을 결정하였다. 실제 영역 바깥쪽 속도장은 Adalsteinsson와 Sethian(1999)가 제안한 속도확장 기법을 이용하여 구하였다. 레벨셋 기반의 최적화 기법에 위상 민감도를 이용하여, 최적화 과정에서 원하는 시기와 위치에 위상 변화가 가능하도록 하였다.

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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Eulerian-Lagrangian 방법을 사용한 임의 물체주위 유동해석의 정도 향상을 위한 연구 (A Study of Accuracy Improvement of an Analysis of Flow around Arbitrary Bodies by Using an Eulerian-Lagrangian Method)

  • 박일룡;전호환
    • 한국전산유체공학회지
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    • 제6권3호
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    • pp.19-26
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    • 2001
  • An Eulerian-Lagrangian method, so called immersed boundary method, is used for analysing viscous flow around arbitrary bodies, where governing equations are discretized on a regular grid by using a finite volume method. To improve the accuracy of flow near body boundaries, a second-order accurate interpolation scheme is used and a level-set based grid deformation method is presented to construct the adaptive grids around body boundaries. The present scheme is used to simulate steady flow around a semicircular cylinder mounted on the bottom of flow domain and calculated results are validated by results of a body fitted grid method. Finally, present method is applied to a complex flow around multi body and the usefulness is checked by investigating calculated results.

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Numerical Study on a Sliding Bubble During Nucleate Boiling

  • Son, Gihun
    • Journal of Mechanical Science and Technology
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    • 제15권7호
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    • pp.931-940
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    • 2001
  • A numerical method for simulating bubble motion during nucleate boiling is presented. The vapor-liquid interface is captured by a level set method which can easily handle breaking and merging of the interface and can calculate an interfacial curvature more accurately than the VOF method using a step function. The level set method is modified to include the effects of phase change at the interface and contact angle at the wall as well as to achieve mass conservation during the whole calculation procedure. Also, a simplified model to predict the heat flux in a thin liquid microlayer is developed. The method is applied for simulation of a sliding bubble on a vertical surface to further understand the physics of partial boiling. Based on the computed results, the effects of contact angle, wall superheat and phase change on a sliding bubble are quantified.

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수직관에서 상승하는 Taylor 기포의 수치해석 (Numerical Simulation of a Taylor Bubble Rising in a Vertical Tube)

  • 손기헌
    • 대한기계학회논문집B
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    • 제25권3호
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    • pp.373-380
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    • 2001
  • In this study, a single Taylor bubble and a train of Taylor bubbles rising in a vertical tube were simulated numerically. A finite difference method was used to solve the mass and momentum equations for the liquid-gas region. The liquid-gas interface was captured by a level set function which is defined a signed distance from the interface. For a train of Taylor bubbles repeated periodically in space, the periodic conditions were imposed at the boundaries normal to the gravitational direction and the pressure boundary conditions were iteratively determined so that the computed flow rate should be equal to a given flow rate. Based on the numerical simulation, the calculated shape and rise velocity of a Taylor bubble were found to be in good agreement with the experimental data reported in the literature.

Hybrid of topological derivative-based level set method and isogeometric analysis for structural topology optimization

  • Roodsarabi, Mehdi;Khatibinia, Mohsen;Sarafrazi, Seyyed R.
    • Steel and Composite Structures
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    • 제21권6호
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    • pp.1389-1410
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    • 2016
  • This paper proposes a hybrid of topological derivative-based level set method (LSM) and isogeometric analysis (IGA) for structural topology optimization. In topology optimization a significant drawback of the conventional LSM is that it cannot create new holes in the design domain. In this study, the topological derivative approach is used to create new holes in appropriate places of the design domain, and alleviate the strong dependency of the optimal topology on the initial design. Furthermore, the values of the gradient vector in Hamilton-Jacobi equation in the conventional LSM are replaced with a Delta function. In the topology optimization procedure IGA based on Non-Uniform Rational B-Spline (NURBS) functions is utilized to overcome the drawbacks in the conventional finite element method (FEM) based topology optimization approaches. Several numerical examples are provided to confirm the computational efficiency and robustness of the proposed method in comparison with derivative-based LSM and FEM.

A technique for capturing structural crack geometry in numerical simulation based on the invariant level set method

  • Tao Wang;Shangtao Hu;Menggang Yang;Shujun Fang
    • Structural Engineering and Mechanics
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    • 제87권3호
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    • pp.243-254
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    • 2023
  • Engineering structures usually suffer from cracks. The crack geometry has an influence on the structural mechanical properties and subsequent crack propagations. However, as an extensively utilized method in fracture analysis, the extended finite element method provided by Abaqus fails to output the specific location and dimensions of fractures. In this study, a technique to capture the crack geometry is proposed. The technique is based on the invariant level set method (I-LSM), which can avoid updating the level set function during crack development. The solution is achieved by an open-source plug-in programmed by Python. Three examples were performed to verify the effectiveness and robustness of the program. The result shows that the developed program can accurately output the crack geometry in both the 2D and 3D models. The open-source plug-in codes are included as supplementary material.

거리정규화 레벨셋을 이용한 칼라객체분할 (Color Object Segmentation using Distance Regularized Level Set)

  • 란 안;이귀상
    • 인터넷정보학회논문지
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    • 제13권4호
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    • pp.53-62
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    • 2012
  • 객체분할은 영상처리와 컴퓨터비전분야의 상당히 어려운 연구대상이다. 그레이스케일 영상에 대한 영상분할은 매우 많은 방법이 발표되었으며 다양한 영상특징과 처리방법이 제시되었다. 이러한 방법들은 대개 자연상태의 칼라 영상에 적용되기 어렵다. 본 논문에서는 기하학적인 Active Contour 모델의 수정된 형태, 즉 거리정규화레벨셋(distance regularized level set evolution: DRLSE)을 이용한 방법을 제시하여 스피드 함수가 이러한 칼라요소를 반영하도록 하였으며 실험결과 정확성과 시간효율성에 있어서 우수한 결과를 보여주었다.

대안 부품을 고려한 다계층 시스템의 중복 할당을 위한 입자 군집 최적화 (Particle Swarm Optimization for Redundancy Allocation of Multi-level System considering Alternative Units)

  • 정일한
    • 품질경영학회지
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    • 제47권4호
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    • pp.701-711
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    • 2019
  • Purpose: The problem of optimizing redundancy allocation in multi-level systems is considered when each item in a multi-level system has alternative items with the same function. The number of redundancy of multi-level system is allocated to maximize the reliability of the system under path set and cost limitation constraints. Methods: Based on cost limitation and path set constraints, a mathematical model is established to maximize system reliability. Particle swarm optimization is employed for redundant allocation and verified by numerical experiments. Results: Comparing the particle swarm optimization method and the memetic algorithm for the 3 and 4 level systems, the particle swarm optimization method showed better performance for solution quality and search time. Particularly, the particle swarm optimization showed much less than the memetic algorithm for variation of results. Conclusion: The proposed particle swarm optimization considerably shortens the time to search for a feasible solution in MRAP with path set constraints. PS optimization is expected to reduce search time and propose the better solution for various problems related to MRAP.

패킷 프로세싱을 위한 새로운 명령어 셋에 관한 연구 (A Novel Instruction Set for Packet Processing of Network ASIP)

  • 정원영;이정희;이용석
    • 한국통신학회논문지
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    • 제34권9B호
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    • pp.939-946
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    • 2009
  • 본 논문에선 기계 기술 언어(machine descriptions language)인 LISA(Language for Instruction Set Architecture)를 통하여 시뮬레이션 모델로 설계한 새로운 네트워크 ASIP(Application Specific Instruction-set Processor)을 제안한다. 제안한 네트워크 ASIP은 라우터(router)에서 패킷 프로세싱을 담당하는 전용엔진을 목적으로 설계되었다. 이를 위해 MIPS(Microprocessor without Interlock Pipeline Stages) 아키텍처를 기반으로 한 일반적인 ASIP에 패킷을 빠른 속도로 처리하기 위해 필요한 새로운 명령어 셋을 추가하였다. 새로 추가된 명령어 셋은 "classification" 명령어 그룹과 "modification" 명령어 그룹으로 나눌 수 있으며, 각 그룹은 실행 단계(execution stage)에 위치한 각각의 기능 유닛(function unit)에 의해서 처리된다. 그리고 각각의 기능 유닛은 Verilog HDL을 통해 면적과 속도 측면에서 최적화하였으며, 이를 합성하여 면적과 동작 지연시간을 비교하였다. 또한 CKF(Compiler Known Function)을 이용하여 C 언어 레벨의 매크로 함수에 할당하였으며, 어플리케이션 프로그램에 대한 실행 싸이클을 비교 분석하여 성능 향상을 확인하였다.