• 제목/요약/키워드: numerical approximation

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주방용 후드시스템의 유동특성에 관한 수치적 연구 (A Numerical Study on the Flow Characteristics of Kitchen Hood System)

  • 임경빈;이광섭;이창희
    • 설비공학논문집
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    • 제18권4호
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    • pp.359-369
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    • 2006
  • This study aims deriving analysis the flow characteristic of kitchen hood system with using 3-D numerical analysis method and improving the system to expel pollutes more efficiently. This system is applied with $k-{\varepsilon}$ turbulent model and using incompressibility viscosity flow range and boundary condition which are related to Bossinesq approximation following density variation in control volume. To understand the flow characteristics of four models, this study only focuses on velocity field, temperature field, and concentration field varying with followings whether separation plate is set or not and the shapes of separation plates. The quantity of air, speed of exhaust fan and temperature and concentration of heating source are concerned as constant values.

APPROXIMATION OF DERIVATIVE TO A SINGULARLY PERTURBED REACTION-CONVECTION-DIFFUSION PROBLEM WITH TWO PARAMETERS.

  • Priyadharshini, R. Mythili;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • 제27권3_4호
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    • pp.517-529
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    • 2009
  • In this paper, a singularly perturbed reaction-convection-diffusion problem with two parameters is considered. A parameter-uniform error bound for the numerical derivative is derived. The numerical method considered here is a standard finite difference scheme on piecewise-uniform Shishkin mesh, which is fitted to both boundary and initial layers. Numerical results are provided to illustrate the theoretical results.

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STABLE NUMERICAL DIFFERENTIATION: WHEN IS IT POSSIBLE?

  • Ramm, Alexander G.;Smirnova, Alexandra
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제7권1호
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    • pp.47-61
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    • 2003
  • Two principally different statements of the problem of stable numerical differentiation are considered. It is analyzed when it is possible in principle to get a stable approximation to the derivative ${\Large f}'$ given noisy data ${\Large f}_{\delta}$. Computational aspects of the problem are discussed and illustrated by examples. These examples show the practical value of the new understanding of the problem of stable differentiation.

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고립파(지진해일)의 파형분포가 불투과 경사면의 처오름에 미치는 영향 (Effects of Waveform Distribution of Tsunami-Like Solitary Wave on Run-up on Impermeable Slope)

  • 이우동;김정욱;허동수
    • 한국해양공학회지
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    • 제33권1호
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    • pp.76-84
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    • 2019
  • For decades, solitary waves have commonly been used to simulate tsunami conditions in numerical studies. However, the main component of a tsunami waveform acts at completely different spatial and temporal distributions than a solitary waveform. Thus, this study applied a 2-D numerical wave tank that included a non-reflected tsunami generation system based on Navier-Stokes equations (LES-WASS-2D) to directly simulate the run-up of a tsunami-like solitary wave on a slope. First, the waveform and velocity due to the virtual depth factor were applied to the numerical wave tank to generate a tsunami, which made it possible to generate the wide waveform of a tsunami, which was not reproduced with the existing solitary wave approximation theory. Then, to validate the applied numerical model, the validity and effectiveness of the numerical wave tank were verified by comparing the results with the results of a laboratory experiment on a tsunami run-up on a smooth impermeable 1:19.85 slope. Using the numerical results, the run-up characteristics due to a tsunami-like solitary wave on an impermeable slope were also discussed in relation to the volume ratio. The maximum run-up heights increased with the ratio of the tsunami waveform. Therefore, the tsunami run-up is highly likely to be underestimated compared to a real tsunami if the solitary wave of the approximation theory is applied in a tsunami simulation in a coastal region.

Critical seismic incidence angle of transmission tower based on shaking table tests

  • Tian, Li;Dong, Xu;Pan, Haiyang;Gao, Guodong;Xin, Aiqiang
    • Structural Engineering and Mechanics
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    • 제76권2호
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    • pp.251-267
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    • 2020
  • Transmission tower-line systems have come to represent one of the most important infrastructures in today's society. Recent strong earthquakes revealed that transmission tower-line systems are vulnerable to earthquake excitations, and that ground motions may arrive at such structures from any direction during an earthquake event. Considering these premises, this paper presents experimental and numerical studies on the dynamic responses of a 1000 kV ultrahigh-voltage (UHV) transmission tower-line system under different seismic incidence angles. Specifically, a 1:25 reduced-scale experimental prototype model is designed and manufactured, and a series of shaking table tests are carried out. The influence of the seismic incidence angle on the dynamic structural response is discussed based on the experimental data. Additionally, the incidence angles corresponding to the maximum peak displacement of the top of the tower relative to the ground (referred to herein as the critical seismic incidence angles) are summarized. The experimental results demonstrate that seismic incidence angle has a significant influence on the dynamic responses of transmission tower-line systems. Subsequently, an approximation method is employed to orient the critical seismic incidence angle, and a corresponding finite element (FE) analysis is carried out. The angles obtained from the approximation method are compared with those acquired from the numerical simulation and shaking table tests, and good agreement is observed. The results demonstrate that the approximation method can properly predict the critical seismic incidence angles of transmission tower-line systems. This research enriches the available experimental data and provides a simple and convenient method to assess the seismic performance of UHV transmission systems.

구조물 형상최적화를 위한 근사해석법에 관한 연구 (An Approximation Method for Configuration Optimization of Structures)

  • 장동진;한상훈
    • 대한토목학회논문집
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    • 제10권3호
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    • pp.7-17
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    • 1990
  • 본 연구에서는 트러스구조와 아치구조의 부재단면적 및 기하형상을 동시에 최적화하는 효율적인 근사화 방법을 제안하고자 한다. 설계과정 중, 트러스구조에 대해서는 응력제약조건 및 좌굴응력제약조건을 만족하도록 하고, 아치구조에 대해서는 조합응력 제약조건을 만족하도록 하였다. 최적화에 필요한 구조해석의 수를 줄이기 위해 Force Approximation Method를 사용하였다. 초기치에 대한 유한요소해석이 수행된 다음 설계변수인 부재단면적과 절점좌표들에 대한 부재단면력들의 경사를 계산하였고, 그 경사정보를 이용 부재단면력들의 1차 Taylor급수 전개에 근거를 둔 근사구조 해석을 형성하였다. 이동한계법을 적용하였으며, 근사구조해석으로 부터 얻어진 정보에 의해 구조물의 체적을 최소화 하였다. 형상최적화를 위한 제안된 본 방법의 효율성과 신뢰성을 보이기 위해 수치예를 들어 다른 방법들에 의한 결과와 비교하였다. 그 결과 구조해석의 수를 크게 감소시킬 수 있었으며, 구조물 형상최적화에 매우 효율적으로 적용될 수 있음을 알게 되었다.

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Comparison of Rigorous Design Procedure with Approximate Design Procedure for Variable Sampling Plans Indexed by Quality Loss

  • Ishii, Yoma;Arizono, Ikuo;Tomohiro, Ryosuke;Takemoto, Yasuhiko
    • Industrial Engineering and Management Systems
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    • 제15권3호
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    • pp.231-238
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    • 2016
  • Traditional acceptance sampling plans have focused on the proportion of nonconforming items as an attribute criterion for quality. In today's modern quality management under high quality production environments, the reduction of the deviation from a target value in a quality characteristic has become the most important purpose. In consequence, various inspection plans for the purpose of reducing the deviation from the target value in the quality characteristic have been investigated. In this case, a concept of the quality loss evaluated by the deviation from the target value has been accepted as the variable evaluation criterion of quality. Further, some quality measures based on the quality loss have been devised; e.g. the process loss and the process capability index. Then, as one of inspection plans based on the quality loss, the rigorous design procedure for the variable sampling plan having desired operating characteristics (VS-OC plan) indexed by the quality loss has been proposed by Yen and Chang in 2009. By the way, since the estimator of the quality loss obeys the non-central chi-square distribution, the rigorous design procedure for the VS-OC plan indexed by the quality loss is complicated. In particular, the rigorous design procedure for the VS-OC plan requires a large number of the repetitive and complicated numerical calculation about the non-central chi-square distribution. On the other hand, an approximate design procedure for the VS-OC plan has been proposed before the proposal of the above rigorous design procedure. The approximate design procedure for the VS-OC plan has been constructed by combining Patnaik approximation relating the non-central chi-square distribution to the central chi-square distribution and Wilson-Hilferty approximation relating the central chi-square distribution to the standard normal distribution. Then, the approximate design procedure has been devised as a convenient procedure without complicated and repetitive numerical calculations. In this study, through some comparisons between the rigorous and approximate design procedures, the applicability of the approximate design procedure has been confirmed.

이동최소제곱근사법을 이용한 개선된 구조 신뢰성 해석 (An Improved Structural Reliability Analysis using Moving Least Squares Approximation)

  • 강수창;고현무
    • 대한토목학회논문집
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    • 제28권6A호
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    • pp.835-842
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    • 2008
  • 응답면 기법은 수치적 효율성을 증대시키기 위해 구조 신뢰성 해석에 널리 적용되고 있다. 그러나 응답면 기법을 사용한 대형구조물의 신뢰성 해석에는 아직도 과도한 해석시간이 요구되고 비선형성이 큰 한계상태에 대해서는 확률변수에 대한 신뢰도지수의 민감도 측면에서 많은 오차가 발생한다. 그러므로, 이 연구에서는 이동최소제곱근사법을 적용한 새로운 응답면 기법을 제안한다. 기존의 응답면 기법에 사용되어온 최소제곱근사법은 표본점들에 동일한 가중값을 부여하여 응답면 함수의 계수를 결정한다. 반면에 이동최소제곱근사법은 설계점에 가까운 표본점들에 더 높은 가중값을 부여함으로써 설계점 근처에서 한계상태식에 더 가까운 응답면 함수를 제공하여 정확도를 증대시킨다. 이동최소제곱근사법을 이용한 신뢰성 해석 절차를 살펴보면, 먼저 선형 응답면 함수를 생성하여 설계점이 있을 영역을 결정한 다음, 이 영역에서 추출된 표본점들을 이용하여 2차 응답면 함수를 생성한다. 그 다음 단계에서는 기존에 추출된 표본점에 연속적으로 하나의 표본점을 더해가면서 응답면 함수를 더욱더 정확히 근사시킨다. 제안된 방법의 효율성을 검토하기 위해서 기존 연구자에 의해 제안된 수치적 문제 및 트러스 문제들에 대하여 신뢰성 해석을 수행하였다. 그 결과 제안된 방법은 민감도를 포함한 정확성 뿐만 아니라 계산 효율성도 증대시킴을 확인할 수 있었다.

Multi-objective Optimization of a Laidback Fan Shaped Film-Cooling Hole Using Evolutionary Algorithm

  • Lee, Ki-Don;Husain, Afzal;Kim, Kwang-Yong
    • International Journal of Fluid Machinery and Systems
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    • 제3권2호
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    • pp.150-159
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    • 2010
  • Laidback fan shaped film-cooling hole is formulated numerically and optimized with the help of three-dimensional numerical analysis, surrogate methods, and the multi-objective evolutionary algorithm. As Pareto optimal front produces a set of optimal solutions, the trends of objective functions with design variables are predicted by hybrid multi-objective evolutionary algorithm. The problem is defined by four geometric design variables, the injection angle of the hole, the lateral expansion angle of the diffuser, the forward expansion angle of the hole, and the ratio of the length to the diameter of the hole, to maximize the film-cooling effectiveness compromising with the aerodynamic loss. The objective function values are numerically evaluated through Reynolds- averaged Navier-Stokes analysis at the designs that are selected through the Latin hypercube sampling method. Using these numerical simulation results, the Response Surface Approximation model are constructed for each objective function and a hybrid multi-objective evolutionary algorithm is applied to obtain the Pareto optimal front. The clustered points from Pareto optimal front were evaluated by flow analysis. These designs give enhanced objective function values in comparison with the experimental designs.

포물형 근사식 수치모형의 투과 경계조건 (Open Boundary Conditions in Parabolic Approximation Model)

  • 서승남;이동영
    • 한국해안해양공학회지
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    • 제19권2호
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    • pp.170-178
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    • 2007
  • 대부분의 포물형 수치모형은 경계 외측의 수심이 해안방향으로 변하지 않는 Snell 법칙을 적용할 수 있는 조건으로 국한한다. 여기에는 기존의 Kirby 방법이 있으며 본 논문에서는 이를 수정한 방법 그리고 Dirichlet 경계조건에 대해 자세히 기술하고 이에 대한 수치실험 결과를 제시하였다. 일정 수심 위에 존재하는 원형 천퇴에 대한 수치실험 결과 계산영역 좌우에 가상 수치 조정구역을 두고 본 Dirichlet 경계조건을 적용한 경우가 파고비의 분포가 가장 작게 왜곡되는 것으로 나타났다.