• Title/Summary/Keyword: Periodic Boundary Conditions

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Numerical investigation of supercavity geometry and gas leakage behavior for the ventilated supercavities with the twin-vortex and the re-entrant jet modes

  • Xu, Haiyu;Luo, Kai;Dang, Jianjun;Li, Daijin;Huang, Chuang
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.628-640
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    • 2021
  • To investigate the supercavity geometry and gas flow structure for the supercavities with two closure types under the different flow conditions, an inhomogeneous multiphase model with the SST turbulence model was established, and validated by experimental results. The results show that two distinct regions exist inside the supercavity, which include the downstream flow region along the gas-water interface and the reverse flow region. For the twin-vortex supercavity, the internal gas leaks from the supercavity boundary by two paths: the supercavity surface and the two-vortex tubes. Increasing Froude number leads to more internal gas stripped from the supercavity surface. Two types of gas loss exist for the re-entrant jet supercavity with high Froude number, one type is the steady process of gas loss, and the major gas-leaking path is the supercavity surface rather than supercavity closure region. The other type is the unsteady periodic ejection, and the gas cluster of periodic ejection is merely a small part of the gas stored inside the supercavity.

섬유강화 복합재료 등가탄성계수 예측과 복합재료 위성패널의 구조해석 (Prediction of the Equivalent Elastic Properties of Fiber Reinforced Composite Materials and Structural Analysis of Composite Satellite Panel)

  • 유원영;임재혁;손동우;김선원;김성훈
    • 항공우주기술
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    • 제12권2호
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    • pp.48-56
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    • 2013
  • 본 연구에서는 다양한 균질화 기법을 통해 섬유강화 복합재료 단일 적층판의 등가탄성계수를 예측을 수행하였다. 섬유강화 복합재료의 등가 탄성계수를 예측하는 해석식 및 준실험식 등 많은 기법들이 제안되어 왔지만 사용대상에 따라 제약이 있거나, 복합재료를 구성하는 섬유나 기지의 종류에 따라 예측결과가 시험결과와 잘 일치하지 않는 문제점을 가지고 있다. 본 연구에서 전산 균질화 기법을 통해 실제 복합재료 형상과 유사한 대표체적 요소를 선정하여 유한요소 모델링을 수행하고, 주기적 경계조건을 부여하여 등가 탄성계수를 예측하였다. 아울러 기존의 예측식 및 시험 결과와 비교하여 그 성능을 검증하였으며, 인공위성 복합재료 패널 구조해석결과에 미치는 영향에 대해 검토하였다.

3-방향 직물 복합재료 모델링 및 붐 구조물의 거동 연구 (A Study on the Modeling for Boom Structural Behaviors of the Triaxial Woven Fabric Composite)

  • 변선우;양지윤;이수용;노진호
    • 항공우주시스템공학회지
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    • 제16권6호
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    • pp.99-105
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    • 2022
  • 본 논문은 3-방향 직물 복합재료의 대표 단위 셀의 모델링 방법에 대해 검증하여 붐 구조물의 기계적 특성에 대해 연구하였다. 대표 단위 셀의 모델링에는 빔 요소에 주기적 경계 조건을 이용하여 인장, 전단, 굽힘, 비틀림의 거동을 모사한 해석을 통해 ABD 행렬을 구했다. 유한 요소 프로그램을 통한 인장 해석과 만능재료 시험기를 이용한 실험 결과를 비교하여 ABD 행렬을 검증하였다. 3-방향 직물 복합재료 붐 구조물의 기계적 특성을 굽힘 해석과 실험을 통해 확인하였다. 이를 통해 3-방향 직물 복합재료를 이용한 구조물 거동 특성을 확인하고자 한다.

내재적 경계 조건을 이용한 자유표면 유동 수치해석 (Numerical Simulation on the Free Surface using implicit boundary condition)

  • 이공희;백제현
    • 한국전산유체공학회지
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    • 제4권1호
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    • pp.19-26
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    • 1999
  • This paper describes a numerical method for predicting the incompressible unsteady laminar three-dimensional flows with free-surface. The Navier-Stokes equations governing the flows have been discretized by means of finite-difference approximations, and the resulting equations have been solved via the SIMPLE-C algorithm. The free-surface is defined by the motion of a set of marker particles and the interface behaviour was investigated by means of a "Lagrangian" technique. Using the GALA concept of Spalding, the conventional mass continuity equation is modified to form a volumetric or bulk-continuity equation. The use of this bulk-continuity relation allows the hydrodynamic variables to be computed over the entire flow domain including both liquid and gas regions. Thus, the free-surface boundary conditions are imposed implicitly and the problem formulation is greatly simplified. The numerical procedure is validated by comparing the predicted results of a periodic standing waves problems with analytic solutions. The results show that this numerical method produces accurate and physically realistic predictions of three-dimensional free-surface flows.

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탄소/페놀릭 8-매 주자직 복합재료의 열전도도 (Thermal Conductivity of Carbon-Phenolic 8-Harness Satin Weave Composite)

  • 우경식;구남서
    • 한국항공우주학회지
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    • 제31권9호
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    • pp.18-25
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    • 2003
  • 본 연구에서는 탄소/페놀릭 8-매 주자직 복합재료인 ACP302의 등가열전도계수를 단위구조해석을 통하여 계산하였고 또한 실험적으로 측정하였다. 먼저 8-매 주자직 복합재료의 직조섬유다발구조를 3차원 유한요소를 사용하여 미세역학적으로 상세히 모델링하였으며, 단위구조 경계면에는 주기경계조건을 가하고 해석을 수행하였다. 계산결과로부터 적층 형상 및 굴곡도, 섬유 체적비 등이 등가열전도도에 미치는 영향을 조사하였다. 또한 실험을 수행하여 열전도도를 계측하였으며 그 결과를 계산결과와 비교하였다.

PHASE FIELD MODELING OF CRYSTAL GROWTH

  • Sekerka, Robert F.
    • 한국결정성장학회:학술대회논문집
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    • 한국결정성장학회 1996년도 The 9th KACG Technical Annual Meeting and the 3rd Korea-Japan EMGS (Electronic Materials Growth Symposium)
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    • pp.139-156
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    • 1996
  • The phase field model is becoming the model of choice for the theoretical study of the morphologies of crystals growth from the melt. This model provides an alternative approach to the solution of the classical (sharp interface) model of solidification by introducing a new variable, the phase field, Ø, to identify the phase. The variable Ø takes on constant values in the bulk phases and makes a continuous transition between these values over a thin transition layer that plays the role of the classically sharp interface. This results in Ø being governed by a new partial differential equation(in addition to the PDE's that govern the classical fields, such as temperature and composition) that guarantees (in the asymptotic limit of a suitably thin transition layer) that the appropriate boundary conditions at the crystal-melt interface are satisfied. Thus, one can proceed to solve coupled PDE's without the necessity of explicitly tracking the interface (free boundary) that would be necessary to solve the classical (sharp interface) model. Recent advances in supercomputing and algorithms now enable generation of interesting and valuable results that display most of the fundamental solidification phenomena and processes that are observed experimentally. These include morphological instability, solute trapping, cellular growth, dendritic growth (with anisotropic sidebranching, tip splitting, and coupling to periodic forcing), coarsening, recalescence, eutectic growth, faceting, and texture development. This talk will focus on the fundamental basis of the phase field model in terms of irreversible thermodynamics as well as it computational limitations and prognosis for future improvement. This work is supported by the National Science Foundation under grant DMR 9211276

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주유동의 맥동과 엇갈린 2열 분사홀로부터의 막냉각 : 분사비의 영향 (Bulk Flow Pulsations and Film Cooling from Two Rows of Staggered Holes : Effect of Blowing Ratios)

  • 손동기;이준식
    • 대한기계학회논문집B
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    • 제22권9호
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    • pp.1195-1207
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    • 1998
  • Periodic pulsations in the static pressure near turbine surfaces as blade rows move relative to each other is one of the important sources of turbine unsteadiness. The present experiment aims to investigate the effect of the static pressure pulsations on the interaction of film coolant flows from two rows of staggered holes with mainstream and its effect on film cooling heat transfer. Potential flow pulsations are generated by the rotating shutter mechanism installed downstream of the test section, The free-stream Strouhal number based on the boundary layer thickness is in the range of 0.033 - 0.33, and the amplitude of about 10-20%. Measured are time-averaged and phase-averaged velocity variations, pressure variations and temperature distributions of the flow field. Experimental conditions are identified by boundary layer measurements. Injectant behavior is characterized by the measurements of unsteady pressure in the plenum chamber and free-stream static pressure. The film cooling effectiveness is evaluated from the insulated wall temperature measurement. It has been found that bulk flow pulsation provides very large diffusion of the injectants and the effectiveness is significantly reduced by the flow pulsations.

유전체로 코팅된 유한한 두께의 주기 슬롯을 갖는 평행평판 도파관으로부터 누설파 복사 : H-편파 (Leaky Wave Radiation from Dielectric-Coated Parallel-Plate Waveguied Periodic Slot with Finite Thickness : H-polarization)

  • 김중표;이창원;손현
    • 한국전자파학회논문지
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    • 제10권2호
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    • pp.247-256
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    • 1999
  • 유전체 코팅된 유한한 두께의 주기적인 슬롯을 갖는 명행명판 도파관으로부터 누설파 안테나를 H-편파 경 우에 대하여 해석하였다. 이러한 구조에 대해 슬롯영역의 전자계는 명행평판 도파관의 TM 모드의 합으로 전 개하고 그 외의 모든 영역의 전자계는 역퓨리에 변환을 이용하여 파수영역 형태로 표현되어진다. 경계조건을 적용하여 선형동차 방정식을 유도한다. 슬롯 폭과 슬롯 두께, 유전체층 두께, 슬롯 개수의 영향이 위상 상수. 누설 상수 및 복사패턴 등과 같은 복사 특성에 미치는 영향을 조사하였다. 유한한 슬롯 개수의 결과와 무한 구조의 결과와 비교하여 잘 일치함을 확인하였다.

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A simple method to compute a periodic solution of the Poisson equation with no boundary conditions

  • Moon Byung Doo;Lee Jang Soo;Lee Dong Young;Kwon Kee-Choon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권4호
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    • pp.286-290
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    • 2005
  • We consider the poisson equation where the functions involved are periodic including the solution function. Let $R=[0,1]{\times}[0,l]{\times}[0,1]$ be the region of interest and let $\phi$(x,y,z) be an arbitrary periodic function defined in the region R such that $\phi$(x,y,z) satisfies $\phi$(x+1, y, z)=$\phi$(x, y+1, z)=$\phi$(x, y, z+1)=$\phi$(x,y,z) for all x,y,z. We describe a very simple method for solving the equation ${\nabla}^2u(x, y, z)$ = $\phi$(x, y, z) based on the cubic spline interpolation of u(x, y, z); using the requirement that each interval [0,1] is a multiple of the period in the corresponding coordinates, the Laplacian operator applied to the cubic spline interpolation of u(x, y, z) can be replaced by a square matrix. The solution can then be computed simply by multiplying $\phi$(x, y, z) by the inverse of this matrix. A description on how the storage of nearly a Giga byte for $20{\times}20{\times}20$ nodes, equivalent to a $8000{\times}8000$ matrix is handled by using the fuzzy rule table method and a description on how the shape preserving property of the Laplacian operator will be affected by this approximation are included.

엇갈린 다이아몬드형 핀휜의 형상에 따른 난류열전달 성능해석 (ANALYSIS OF TURBULENT HEAT TRANSFER FROM STAGGERED PIN-FIN ARRAYS WITH DIAMOND SHAPED ELEMENTS AT VARIOUS GEOMETRICAL CONFIGURATIONS)

  • 조안태;김광용
    • 한국전산유체공학회지
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    • 제13권2호
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    • pp.20-26
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    • 2008
  • A numerical study is carried out to analyze the steady three-dimensional turbulent flow and convective heat transfer in a staggered pin-fin array with diamond shaped elements at various geometrical configurations. Steady Reynolds-averaged Navier-Stokes equations and energy equation are solved using a finite volume based solver. Shear stress transport (SST) model is used as turbulence closure. The computational domain is composed of one pitch of pin-fin displacement with periodic boundary conditions on the surfaces normal to the streamwise direction and the cross-streamwise direction. The numerical results for Nusselt number and friction factor are validated with experimental results. The effects of pin angle, pin height and pitch on Nusselt number, friction factor and efficiency index are investigated.