• 제목/요약/키워드: finite difference/finite volume method

검색결과 190건 처리시간 0.027초

해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구 (Study on effect of control functions according to interpolations for elliptic grid generation method)

  • 채은미;사종엽
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1995년도 추계 학술대회논문집
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    • pp.104-109
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    • 1995
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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유한체적법을 이용한 상선주위의 난류유동 계산에 관한 연구 (Development of Computational Methods for Viscous Flow around a Commercial Ship Using Finite-Volume Methods)

  • 김우전;김도현;반석호
    • 대한조선학회논문집
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    • 제37권4호
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    • pp.19-30
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    • 2000
  • 선수와 선미에 벌브를 가진 현대적인 상선 주위의 난류유동을 해석하기 위해 유한체적법을 이용한 RANS 방정식의 해법이 개발되었다. 복잡한 선수미의 격자계 생성을 위해 다중블록 선체표면 격자계 생성 기법이 도입되었고, 타원형 미분 방정식의 해를 이용하여 O-H 형태의 공간 격자계생성 기법이 이용되었다. 지배방정식의 대류항과 확산항은 각각 QUICK과 중앙차분법을 이용하여 근사되었고, 속도-압력 연성을 위해 SIMPLEC법이 채택되었다. 개발된 방법은 KRISO 3600TEU 컨테이너선에 적용하여 유선가시화 실험 및 반류계측 결과와 비교하였다. 계산 결과는 선수와 선미에 벌브를 가진 현대적인 선형 주위의 유동 해석을 위해서도 이러한 수치계산 방법이 적용될 수 있음을 보여주고 있다.

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NATURAL CONVECTION AROUND A HEAT CONDUCTING AND GENERATING SOLID BODY INSIDE A SQUARE ENCLOSURE WITH DIFFERENT THERMAL BOUNDARIES

  • NITHYADEVI, NAGARAJAN;UMADEVI, PERIYASAMY
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권4호
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    • pp.459-479
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    • 2015
  • Two-dimensional steady laminar natural convection around a heat conducting and generating solid body inside a square enclosure with different thermal boundaries is performed. The mathematical model is governed by the coupled equation of mass, momentum and energy. These equations are discretized by finite volume method with power-law scheme and solved numerically by SIMPLE algorithm with under-relaxation technique. Effect of Rayleigh number, temperature difference ratio of solid-fluid, aspect ratio of solid-enclosure and the thermal conductivity ratio of solid-fluid are investigated numerically for Pr = 0.7. The flow and heat transfer aspects are demonstrated in the form of streamlines and isotherms respectively.

Finite-difference Time-domain Study on Birefringence Changes of the Axon During Neural Activation

  • Lee, Jong-Hwan;Kim, Sung-June
    • Journal of the Optical Society of Korea
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    • 제13권2호
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    • pp.272-278
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    • 2009
  • Recently, there has been a growing interest in optical imaging of neural activity because the optical neuroimaging has considerable advantages over conventional imaging. Birefringence of the axon has been reported to change during neural activation, but the neurophysiological origin of the change is still unresolved. This study hypothesizes that the birefringence signal is at least partially attributed to the transient cellular volume change associated with nerve excitation. To examine this hypothesis, we investigated how the intensity of cross-polarized light transmitting through the axon would change as the size of the axon changes. For this purpose, a two-dimensional finite-difference time-domain program was developed with the improvement of the total-field/scattered-field method which reduces numerical noise. The results support our hypothesis in that the computed cross-polarized signals exhibit some agreement with previously-reported birefringence signals.

Control Volume Formulation Method를 사용한 GaAs MESFET의 2차원 수치해석 (Two-Dimensional Numerical Simulation of GaAs MESFET Using Control Volume Formulation Method)

  • 손상희;박광민;박형무;김한구;김형래;박장우;곽계달
    • 대한전자공학회논문지
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    • 제26권1호
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    • pp.48-61
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    • 1989
  • 본 논문에서는 게이트의 길이가 0.7${\mu}m$인 n형 GaAs MESFET를 2차원적으로 수치 해석하였으며, 이동도를 국부 전계의 함수로 취하는 드리프트 -확산 모델을 사용하였다. 이산화 방법으로는 종래에 사용되던 FDM(finite difference method), FEM(finite element method)을 사용치 아낳고 Control-Volume Formulation을 사용하였으며, numerical scheme으로는 기존의 hybrid scheme이나 upwind scheme 대신에 exponential scheme과 거의 근사한 power-law scheme을 사용하였다. 이때 드리프트 속도와 확산 속도의 비율을 나타내는 Peclet number의 개념을 사용하였으며, 이 개념을 사용하여 control volume의 경계에서 numerical scheme을 고려한 전류식을 제안하였다. 앞에서 고려한 모델들과 수치해석 방법을 사용하여 시뮬레이션한 I-V 특성은 기존 노문의 결과와 일치하였다. 따라서 본 논문의 결과가 GaAs MESFET를 위한 유용한 2차원 시뮬레이터가 될 수 있음을 확인하였다. 또한 I-V 특성외에 채널 밑바닥에서이 속도 및 전계 분포를 통해 드리프트-확산 모델을 고려한 경우에 발생하는 속도 포화의 메카니즘을 제시했고, Dipole의 발생위치 및 발생 원인과 드레인 전류와의 관계 등에 대해서도 제시했다.

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경계면 포착법에 의한 밀도차이에 따른 물질경계면을 갖는 다상유동 수치해석 (Numerical Simulation of Multiphase Flows with Material Interface due to Density Difference by Interface Capturing Method)

  • 명현국
    • 대한기계학회논문집B
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    • 제33권6호
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    • pp.443-453
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    • 2009
  • The Rayleigh-Taylor instability, the bubble rising in both partially and fully filled containers and the droplet splash are simulated by an in-house solution code(PowerCFD), which are typical benchmark problems among multiphase flows with material interface due to density difference. The present method(code) employs an unstructured cell-centered method based on a conservative pressure-based finite-volume method with interface capturing method(CICSAM) in a volume of fluid(VOF) scheme for phase interface capturing. The present results are compared with other numerical solutions found in the literature. It is found that the present method simulates efficiently and accurately complex free surface flows such as multiphase flows with material interface due to both density difference and instability.

Numerical Simulation of 3D Free-Surface Flows by Using CIP-based and FV-based Methods

  • Yang, Kyung-Kyu;Nam, Bo-Woo;Kim, Yong-Hwan
    • International Journal of Ocean System Engineering
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    • 제1권3호
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    • pp.136-143
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    • 2011
  • In this paper, three-dimensional free-surface flows are simulated by using two different numerical methods, the constrained interpolation profile (CIP)-based and finite volume (FV)-based methods. In the CIP-based method, the governing equations are solved on stationary staggered Cartesian grids by a finite difference method, and an immersed boundary technique is applied to deal with wave-body interactions. In the FV-based method, the governing equations are solved by applying collocated finite volume discretization, and body-fitted meshes are used. A free-surface boundary is considered as the interface of the multi-phase flow with air and water, and a volumeof-fluid (VOF) approach is applied to trace the free surface. Among many variations of the VOF-type method, the tangent of hyperbola for interface capturing (THINC) and the compressive interface capturing scheme for arbitrary meshes (CICSAM) techniques are used in the CIP-based method and FV-based method, respectively. Numerical simulations have been carried out for dam-breaking and wave-body interaction problems. The computational results of the two methods are compared with experimental data and their differences are observed.

경계면포착법에 의한 밀도차에 따른 다상유동 수치해석 (Numerical Simulation of Two-Dimensional Multiphase Flows due to Density Difference by Interface Capturing Method)

  • 명현국
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.572-575
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    • 2008
  • Two-dimensional multiphase flows due to density difference such as the Rayleigh-Taylor instability problem and the droplet splash are simulated by an in-house solution code(PowerCFD). This code employs an unstructured cell-centered method based on a conservative pressure-based finite-volume method with interface capturing method in a volume of fluid(VOF) scheme for phase interface capturing. The present results are compared with other numerical solutions found in the literature. It is found that the present code simulates complex free surface flows such as multiphase flows due to density difference efficiently and accurately.

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회전원판 근처에서 회전하는 유연디스크에 대한 실험 및 수치해석 (Experimental and Numerical Study on an Air-Stabilized Flexible Disk Rotating Close to a Rigid Rotating Disk)

  • 가드압델라솔;임윤철
    • 정보저장시스템학회논문집
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    • 제5권1호
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    • pp.19-35
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    • 2009
  • The present work is an experimental and analytical study on a flexible disk rotating close to a rigid rotating disk in open air. In the analytical study, the air flow in the gap between the flexible disk and the rigid disk is modeled using Navier-Stokes and continuity equations while the flexible disk is modeled using the linear plate theory. The flow equations are discretized using the cell centered finite volume method (FVM) and solved numerically with semi-implicit pressure-linked equations (SIMPLE algorithm). The spatial terms in the disk equation are discretized using the finite difference method (FDM) and the time integration is performed using fourth-order Runge-Kutta method. An experimental test-rig is designed to investigate the dynamics of the flexible disk when rotating close to a co-rotating, a counter-rotating and a fixed rigid disk, which works as a stabilizer. The effects of rotational speed, initial gap height and inlet-hole radius on the flexible disk displacement and its vibration amplitude are investigated experimentally for the different types of stabilizer. Finally, the analytical and experimental results are compared.

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엔진실린더내의 유동해석을 위한 수치해석방법 (Numerical Analysis Method for the Flow Analysis in the Engine Cylinder)

  • 최종욱;이용호;박찬국
    • 한국전산유체공학회지
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    • 제5권1호
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    • pp.1-7
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    • 2000
  • In general, FDM(finite difference method) and FVM(finite volume method) are used for analyzing the fluid flow numerically. However it is difficult to apply them to problems involving complex geometries, multi-connected domains, and complex boundary conditions. On the contrary, FEM(finite element method) with coordinates transformation for the unstructured grid is effective for the complex geometries. Most of previous studies have used commercial codes such as KIVA or STAR-CD for the flow analyses in the engine cylinder, and these codes are mostly based on the FVM. In the present study, using the FEM for three-dimensional, unsteady, and incompressible Navier-Stokes equation, the velocity and pressure fields in the engine cylinder have been numerically analyzed. As a numerical algorithm, 4-step time-splitting method is used and ALE(arbitrary Lagrangian Eulerian) method is adopted for moving grids. In the Piston-Cylinder, the calculated results show good agreement in comparison with those by the FVM and the experimental results by the LDA.

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