• 제목/요약/키워드: Boundary layer integral method

검색결과 59건 처리시간 0.023초

Terra/MODIS 자료를 이용한 연안 대기경계층의 연직구조 (Vertical Structure of the Coastal Atmospheric Boundary Layer Based on Terra/MODIS Data)

  • 김동수;권병혁
    • 대기
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    • 제17권3호
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    • pp.281-289
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    • 2007
  • Micrometeorlogical and upper air observation have been conducted in order to determine the atmospheric boundary layer depth based on data from satellite and automatic weather systems. Terra/MODIS temperature profiles and sensible heat fluxes from the gradient method were used to estimate the mixed layer height over a coastal region. Results of the integral model were in good agreement with the mixed layer height observed using GPS radiosonde at Wolsung ($35.72^{\circ}N$, $129.48^{\circ}E$). Since the variation of the mixed layer height depends on the surface sensible heat flux, the integral model estimated properly the mixed layer height in the daytime. The buoyant heat flux, which is more important than the sensible heat flux in the coastal region, must be taken into consideration to improve the integral model. The vertical structure of atmospheric boundary layer can be analyzed only with the routine data and the satellite data.

불확실 일반 선형 시스템의 레귤레이션 제어를 위한 사전 제어 성능을 갖는 개선된 연속 적분 가변구조 시스템 (An Improved Continuous Integral Variable Structure Systems with Prescribed Control Performance for Regulation Controls of Uncertain General Linear Systems)

  • 이정훈
    • 전기학회논문지
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    • 제66권12호
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    • pp.1759-1771
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    • 2017
  • In this paper, an improved continuous integral variable structure systems(ICIVSS) with the prescribed control performance is designed for simple regulation controls of uncertain general linear systems. An integral sliding surface with an integral state having a special initial condition is adopted for removing the reaching phase and predetermining the ideal sliding trajectory from a given initial state to the origin in the state space. The ideal sliding dynamics of the integral sliding surface is analytically obtained and the solution of the ideal sliding dynamics can predetermine the ideal sliding trajectory(integral sliding surface) from the given initial state to the origin. Provided that the value of the integral sliding surface is bounded by certain value by means of the continuous input, the norm of the state error to the ideal sliding trajectory is analyzed and obtained in Theorem 1. A corresponding discontinuous control input with the exponential stability is proposed to generate the perfect sliding mode on the every point of the pre-selected sliding surface. For practical applications, the discontinuity of the VSS control input is approximated to be continuous based on the proposed modified fixed boundary layer method. The bounded stability by the continuous input is investigated in Theorem 3. With combining the results of Theorem 1 and Theorem 3, as the prescribed control performance, the pre specification on the error to the ideal sliding trajectory is possible by means of the boundary layer continuous input with the integral sliding surface. The suggested algorithm with the continuous input can provide the effective method to increase the control accuracy within the boundary layer by means of the increase of the $G_1$ gain. Through an illustrative design example and simulation study, the usefulness of the main results is verified.

De-Laval 노즐의 난류 경계층 유동이 연소실 압력에 미치는 영향 (A Turbulent Bounbary Layer Effect of the De-Laval Nozzle on the Combustion Chamber Pressure)

  • 장태호;이방업;배주찬
    • 대한기계학회논문집
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    • 제10권5호
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    • pp.635-644
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    • 1986
  • A Compuressible turbulent boundary layer effect of the high temperature, accelerating gas flow through the De-Laval nozzle on combustion chamber pressure is numerically investigated. For this purpose, the coupled momentum integral equation and energy integral equation are solved by the Bartz method, and 1/7 power law for both the turbulent boundary layer velocity distribution and temperature distribution is assumed. As far as the boundary layer thicknesses are concerned, we can obtain reasonable solutions even if relatively simple approximations to the skin friction coefficient and stanton number have been used. The effects of nozzle wall cooling and/or mass flow rate on the boundary layer thicknesses and the combustion chamber pressure are studied. Specifically, negative displacement thickness is appeared as the ratio of the nozzle wall temperature to the stagnation temperature of the free stream decreases, and, consequently, it makes the combustion chamber pressure low.

수치해석 통합기법을 이용한 노즐 내열재 표면의 열전달 해석 (Heat Transfer on Supersonic Nozzle using Combined Boundary Layer Integral Method)

  • 배지열;배형모;류진;함희철;조형희
    • 한국전산구조공학회논문집
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    • 제30권1호
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    • pp.47-53
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    • 2017
  • 1차원 등엔트로피 모델과 통합된 경계층 적분법은 초음속 노즐의 설계과정에서 내열재 표면의 열전달을 예측하는데 효과적으로 사용되고 있지만 노즐 목과 같이 2차원 효과와 경계층과 노즐 코어유동의 상호작용이 발생하는 지점에서는 경계층 외부유동 해석의 부정확성으로 해석의 정확도가 감소한다. 따라서 본 연구에서는 경계층 적분법을 이용한 열전달 예측의 정확도를 향상시키기 위해 CFD를 이용하여 2차원 효과와 노즐 코어유동의 상호작용이 고려된 경계층 외부유동 조건을 도출하고 이를 경계조건으로 하는 해석기법을 개발하였다. 오일러 모델과 SST $k-{\omega}$ 모델을 CFD로 해석하여 경계조건으로 적용했으며 계산방법을 검증하기 위해 선행문헌의 실험노즐에 대해 해석을 수행하였다. 계산 결과 CFD를 통해 경계층 외부유동 조건을 도출한 해석에서 노즐 열전달의 정확도가 향상되는 것을 확인하였으며 특히 노즐 목 후방과 팽창부에서의 차이가 크게 나타났다. SST $k-{\omega}$모델로 도출된 계산결과는 1차원 등엔트로피 모델과 비교 시 팽창부에서 실험결과와의 오차가 16% 감소하였다. 본 연구에서 개발된 해석기법은 향후 로켓노즐의 내열설계에 유용하게 사용될 것으로 평가된다.

Receding contact problem of an orthotropic layer supported by rigid quarter planes

  • Huseyin Oguz;Ilkem Turhan Cetinkaya;Isa Comez
    • Structural Engineering and Mechanics
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    • 제91권5호
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    • pp.459-468
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    • 2024
  • This study presents a frictionless receding contact problem for an orthotropic elastic layer. It is assumed that the layer is supported by two rigid quarter planes and the material of the layer is orthotropic. The layer of thickness h is indented by a rigid cylindrical punch of radius R. The problem is modeled by using the singular integral equation method with the help of the Fourier transform technique. Applying the boundary conditions of the problem the system of singular integral equations is obtained. In this system, the unknowns are the contact stresses and contact widths under the punch and between the layer and rigid quarter planes. The Gauss-Chebyshev integration method is applied to the obtained system of singular integral equations of Cauchy type. Five different orthotropic materials are considered during the analysis. Numerical results are presented to interpret the effect of the material property and the other parameters on the contact stress and the contact width.

다층구조계내 터널 거동의 역해석 (A Back-Analysis of Tunnels in Multi-Layered Underground Structures)

  • 전병승;이상도;나경웅;김문겸
    • 터널과지하공간
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    • 제4권1호
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    • pp.17-23
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    • 1994
  • This study consists of two procedures on back analysis and forward analysis which is a basic tool of the former. For a safe and economical construction of underground structures, it is required to identify the structural parameters and analyze the structural behavior as exactly as possible. In this paper, a boundary element method to analyze the behavior of multi-alyered underground structures is studied, in which body forces and initial stresses are considered. That is, each layer is discritized into subregions using infinite fundamental solutions, and terms of body forces and initial stresses are transformed into boundary integral where the applied direct integral method is used. And the system of equations containing body forces and initial stresses are considered. That is, each layer is discritized into subregions using infinite fundamental solutions, and terms of body forces and initial stresses are transformed into boundary integral where the applied direct integral method is used. And the system of equations containing body forces and initial stresses are composed, then the method to solve unknowns is used with applying compatibility and equilibrium conditions between interfaces. As well, the direct search method is applied in back analysis problems. By Powell's method as a technique to search unknown parameters, assuming displacements calculated from boundary element analysis as in-situ displacements, elastic moduli and initial stresses are presumed. As consequences of this study, the results of boundary element analysis of the behavior of multilayered structure considering body forces and initial stresses are agreed with those of finite element analysis. And results of back analysis of elastic moduli and initial stresses in each layers are agreed with exact values with a little difference. Therefore, it is known that this study can be efficiently applied for analyzing the behavior of underground structures including back analysis problems.

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몰수분의 두꺼운 경계층 및 반류해석 (On the Thick Axisymmetric Boundary Layer and Wake Around the Body of Revolution)

  • 강신형;현범수;이영길
    • 한국기계연구소 소보
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    • 통권9호
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    • pp.141-151
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    • 1982
  • An iterative procedure for the calculation of the thick axisymmetric boundary layer and wake near the stern of a body of revolution is presented. Procedure consists of the potential flow calculation by a method of the integral equation of first kind and the calculation of boundary layer and wake by a differential me¬thod of the boundary layer theory. Additionally, higher order terms are included in the conventional momentum equations and continuity equation for the consider¬ation of the characteristics of axisymmetric flow different from the one of two dimentional flow and the thick boundary layer. These solutions are matched at the edge of boundary layer and wake. The results obtained by the present me¬thod are compared with the experimental data and it is found that the nominal wake distribution at the propeller plane of a axisymmetric body is in good agree¬ment with the experiment.

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유한영역에서의 모드 III 꺾인균열 해석을 위한 적분방정식 적용연구 (AN INTEGRAL EQUATION FOR KINKED CRACKS APPLIED TO MODE III IN FINITE PLANE BODIES)

  • Sur, Ukhwan
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제2권1호
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    • pp.111-129
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    • 1998
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane(modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.

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유한영역에서 안전을 위한 여러 형태의 균열 해석용 적분방정식 적용연구 (An Integral Equation of Various Cracks for Safety in Finite Plane Bodies)

  • 서욱환
    • 한국안전학회지
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    • 제14권1호
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    • pp.10-18
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    • 1999
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, the integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in finite plane bodies. The method was developed for in-plane(mode I and II) loadings only. In this paper, the method is formulated and applied to various crack problems involving multiple and branch cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.implicity.

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