• 제목/요약/키워드: Split-Step method

검색결과 61건 처리시간 0.025초

비정상 다상유동의 효율적 수치모사를 위한 VOF가 적용된 Fractional Step 기법 (FRACTIONAL STEP METHOD COMBINED WITH VOLUME-OF-FLUID METHOD FOR EFFICIENT SIMULATION OF UNSTEADY MULTIPHASE FLOW)

  • 이경준;양경수;강창우
    • 한국전산유체공학회지
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    • 제15권4호
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    • pp.99-108
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    • 2010
  • Fractional Step Methods(FSM) are popular in simulation of unsteady incompressible flow. In this study, we demonstrate that FSM, combined with a Volume-Of-Fluid method, can be further applied to simulation of multiphase flow. The interface between the fluids is constructed by the effective least squares volume-of-fluid interface reconstruction algorithm and advected by the velocity using the operator split advection algorithm. To verify our numerical methodology, our results are compared with other authors' numerical and experimental results for the benchmark problems, revealing excellent agreement. The present FSM sheds light on accurate simulation of turbulent multiphase flow which is found in many engineering applications.

단계 분할 유한 요소법을 이용한 분산 보상 광 전송 시스템의 시뮬레이션 (Simulation of Dispersion Compensation Transmission System Using Split-Step Finite Element Method)

  • 홍순원;이호준
    • 전자공학회논문지D
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    • 제36D권8호
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    • pp.79-86
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    • 1999
  • 분산 보상을 위하여 DCF(dispersion compensating fiber)를 사용한 10Gbps 전송 시스템을 시뮬레이션 하였다. 비선형 광섬유에서 NRZ 펄스 전파를 분석하기 위해서, 유한 요소법과 유한 차분법을 조합한 단계 분할 유한 요소법을 사용하였다. 광 증폭기와 시스템 잡음이 포함된 시스템의 수신기에서 eye diagram과 BER 곡선을 구하였다. 시뮬레이션 결과로써, 50km 전송후에 분산 패널티가 약 0.8dB이었으며, 이득이 12dB인 EDFA를 사용하였을 때 $10^{-9}$ BER에서 -27.4dBm의 수신감도를 나타내었고 EDFA를 사용하지 않았을 경우에는 15.6dBm.의 감도를 나타낸다는 것을 확인하였다.

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Modified Split Panel Method Applied to the Analysis of Cavitating Propellers

  • Pyo, S.W.;Suh, J.C.
    • Journal of Ship and Ocean Technology
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    • 제4권2호
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    • pp.13-23
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    • 2000
  • A low-order potential based boundary element method is applied to the prediction of the flow around the cavitating propeller in steady or in unsteady inflow. For given cavitation number, the cavity shape is determined in an iterative manner until the kinematic and the dynamic boundary conditions are both satisfied on the approximate cavity boundary. In order to improve the solution behavior near the tip region, a hyperboloidal panel geometry and a modified split panel method are applied. The method is then extended to include the analysis of time-varying cavitating flows around the propeller blades via a time-step algorithm in time domain. In the method, the steady state oscillatory solution is obtained by incremental stepping in the itme domain. Finally, the present method is validated through comparison with other numerical results and experimental data.

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ACCURACY AND EFFICIENCY OF A COUPLED NEUTRONICS AND THERMAL HYDRAULICS MODEL

  • Pope, Michael A.;Mousseau, Vincent A.
    • Nuclear Engineering and Technology
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    • 제41권7호
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    • pp.885-892
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    • 2009
  • This manuscript will discuss a numerical method where the six equations of two-phase flow, the solid heat conduction equations, and the two equations that describe neutron diffusion and precursor concentration are solved together in a tightly coupled, nonlinear fashion for a simplified model of a nuclear reactor core. This approach has two important advantages. The first advantage is a higher level of accuracy. Because the equations are solved together in a single nonlinear system, the solution is more accurate than the traditional "operator split" approach where the two-phase flow equations are solved first, the heat conduction is solved second and the neutron diffusion is solved third, limiting the temporal accuracy to $1^{st}$ order because the nonlinear coupling between the physics is handled explicitly. The second advantage of the method described in this manuscript is that the time step control in the fully implicit system can be based on the timescale of the solution rather than a stability-based time step restriction like the material Courant limit required of operator-split methods. In this work, a pilot code was used which employs this tightly coupled, fully implicit method to simulate a reactor core. Results are presented from a simulated control rod movement which show $2^{nd}$ order accuracy in time. Also described in this paper is a simulated rod ejection demonstrating how the fastest timescale of the problem can change between the state variables of neutronics, conduction and two-phase flow during the course of a transient.

Numerical solving of initial-value problems by Rbf basis functions

  • Gotovac, Blaz;Kozulic, Vedrana
    • Structural Engineering and Mechanics
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    • 제14권3호
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    • pp.263-285
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    • 2002
  • This paper presents a numerical procedure for solving initial-value problems using the special functions which belong to a class of Rvachev's basis functions $R_{bf}$ based on algebraic and trigonometric polynomials. Because of infinite derivability of these functions, derivatives of all orders, required by differential equation of the problem and initial conditions, are used directly in the numerical procedure. The accuracy and stability of the proposed numerical procedure are proved on an example of a single degree of freedom system. Critical time step was also determined. An algorithm for solving multiple degree of freedom systems by the collocation method was developed. Numerical results obtained by $R_{bf}$ functions are compared with exact solutions and results obtained by the most commonly used numerical procedures for solving initial-value problems.

Heart Extraction and Division between Left and Right Heart from Cardiac CTA

  • Kang, Ho Chul
    • International Journal of Internet, Broadcasting and Communication
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    • 제9권4호
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    • pp.19-24
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    • 2017
  • In this paper, we propose an automatic segmentation method of left and right heart in computed tomography angiography (CTA) using separating energy function. First, we smooth the images by applying anisotropic diffusion filter to remove noise. Then, the volume of interest (VOI) is detected by using k-means clustering. Finally, we extract the left and right heart with separating energy function which we proposed to split the heart. We tested our method in ten CT images and they were obtained from a different patient. For the evaluation of the computational performance of the proposed method, we measured the total processing time. The average of total processing time, from first step to third step, was $14.39{\pm}1.17s$. We expect for our method to be used in cardiac diagnosis for cardiologist.

퍼지의 사다리꼴 타입과 영상 단계적 분할을 이용한 동적 적응적 이진화 방법 (Dynamic Adaptive Binarization Method Using Fuzzy Trapezoidal Type and Image Stepwise Segmentation)

  • 이호창
    • 한국멀티미디어학회논문지
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    • 제25권5호
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    • pp.670-675
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    • 2022
  • This study proposes an improved binarization method to improve image recognition rate. The research goal is to minimize the information loss that occurs during the binarization process, and to transform the object of the original image that cannot be determined through the transformation process into an image that can be judged. The proposed method uses a stepwise segmentation method of an image and divides blocks using prime numbers. Also, within one block, a trapezoidal type of fuzzy is applied. The fuzzy trapezoid is binarized by dividing the brightness histogram area into three parts according to the degree of membership. As a result of the experiment, information loss was minimized in general images. In addition, it was found that the converted binarized image expressed the object better than the original image in the special image in which the brightness region was tilted to one side.

광선로 전파방정식 계산을 위한 SSF 알고리즘 개선에 관한 연구 (A Study on the SSF algorithm improvement for the optical propagation simulation)

  • 김민철;김종훈
    • 한국광학회지
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    • 제10권5호
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    • pp.405-412
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    • 1999
  • SSF 알고리즘의 고정된 구간을 개선하여 자동으로 구간을 선택함으로 계산시간을 줄인 Auto Z-step과, SSF 알고리즘에 사용되는 FFT 방법의 표본값을 자동적으로 줄여서 계산시간을 감소시킨 Auto T-step 알고리즘을 제안하였다. 2.5Gbps 100km 전송시 이 두 알고리즘을 사용한 것은 기존의 1km fixed step 알고리즘보다 1/120의 계산시간이 줄었고, 10Gbps 40km 전송시 최대 1/56으로 줄었으며, 오차는 모두-30㏈ 이하였다. eye diagram으로 kkm fixed step 알고리즘과 비교할 때 오차가 무시될 수 있음을 알 수 있었다.

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희귀행렬 SS-FEM에 의한 비선형 광섬유의 전송신호 해석 (Analysis of Signal Propagation in Nonlinear Optical Fiber using SS-FEM with Sparse Matrix)

  • 정백호;이호준
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제49권1호
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    • pp.52-58
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    • 2000
  • Signal propagation in nonlinear optical fiber is analyzed numerically by using SS-FEM (Split-Step Finite Element Method). By adopting cubic element function in FEM, soliton equation of which exact solution was well known, has been solved. Also, accuracy of numerical results and computing times are compared with those of Fourier method, and we have found that solution obtained from using FEM was very relatively accurate. Especially, to reduce CPU time in matrix computation in each step, the matrix imposed by the boundary condition is approximated as a sparse matrix. As a result, computation time was shortened even with the same or better accuracy when compared to those of the conventional FEM and Fourier method.

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광섬유 커플러 Add/Drop 필터의 연산자 분리 시영역 해석 및 설계 (Split-Step Time-Domain Analysis and Design of an Fiber-Optic Coupler Add/Drop Filter)

  • 강준환;김병성;정영철
    • 대한전자공학회논문지SD
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    • 제37권8호
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    • pp.57-66
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    • 2000
  • 비대칭 광섬유 커플러 ADF(add/drop filter)의 필터링 특성을 새로운 연산자 분리 시영역 모델을 이용해서 해석하였다. 연산자 분리 시영역 모델은 방향성 결합기와 브래그 격자를 포함하는 구조의 소자를 전산모사 할 때 미우 유용하다. 먼저 이 모델을 이용하여 대칭구조의 고아섬유 커플러 ADF의 특성을 해석하여 연산자 분리 알고리듬의 정확도를 확인 한 후에, 비대칭 구조 ADF의 특성을 해석하여 필터링 성능의 최적화에 필요한 파라미터 값들을 도출하였다.

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