• Title/Summary/Keyword: 근사 해법

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Application of mixed mesh for flexible treatment of Topography (지형의 효율적 처리를 위한 혼합격자 적용 기법)

  • Kim, Byung-Hyun;Son, In-Ho;Han, Kun-Yeun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.198-201
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    • 2010
  • 지형이 불규칙한 자연하천에 대해 2차원 격자를 구성할 경우, 사각형 격자만을 사용한다면 지류와 본류의 합류부분에서 격자의 처리가 어려운 문제가 발생할 수 있으며, 삼각형 격자만을 사용하여 지형을 처리한다면 격자수가 많아져 계산시간이 다소 많이 소요되는 어려움이 존재할 수 있다. 혼합격자의 적용이 가능하다면 이러한 어려움은 어느정도 극복할 수 있다. 본 연구에서는 1차정확도 기법인 HLLC 기법을 적용하고, 지형이 복잡한 자연하천에 대한 격자처리의 유연성을 위해 삼각형 및 사각형 격자 그리고 이 두 격자가 혼용된 혼합격자의 적용이 가능한 2차원 유한체적모형을 개발하였다. 그리고 개발모형을 수리모형 실험을 통해 얻어진 실험자료가 존재하는 실험하도 및 실제 자연하천에서의 댐 붕괴에 대해 적용하여 결과를 비교하였다.

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A study on design of spherical hob for internal gear hobbing (내접치차 가공용 구형 호브의 설계에 관한 연구)

  • 박천경;박동삼
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.6
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    • pp.1312-1319
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    • 1988
  • Internal gear is the important part of the planetary reduction gear system. This study aims at developing the numerical analysis method for design of spherical hob to manufacture internal gear. Methods of calculation of hob tooth profile, generating tooth profile and tooth profile errors such as the errors of pressure angle, tooth thickness and pitch of spherical hob must be made smaller than those of standard tooth profile. And, the smaller the pressure angle and the number of equivalent pinion tooth become, the larger the tooth profile errors are. One design example of spherical hob is proposed.

A Frequency Assignment Heuristic for the Efficient Deployments of Digital TV Systems (디지털 TV로의 효율적 전환을 위한 주파수할당 근사해법 연구)

  • Paik, Chun-Hyun
    • IE interfaces
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    • v.13 no.4
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    • pp.694-702
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    • 2000
  • For the graceful transition from the analog to digital TV systems, a systematic frequency assignment scheme must be incorporated into the transition planning procedure. In this study, we have studied the frequency assignment methodology for the efficient management of the limited spectrum resources. By applying the graph-theoretic approach, this study developed a new solution method for additional frequency assignment problem whose objective is to assign available frequencies for newly generated requirements (digital TV stations) with minimum reassignment of the preassigned frequencies to LPTV stations while meeting the interference-related constraints. The proposed algorithm can be effectively applied not only to the current digital TV introduction phase but also to the development phase with some further development. This study can be utilized as the basis for the future study on frequency assignments that aims at graceful transition from analog TV to digital TV.

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Application of Discrete-Ordinate Method to the Time Dependent Radiative Heat Transfer Calculations (방향차분법을 적용한 시간종속 복사 열전달 계산)

  • Noh, Tae-Wan
    • Journal of Energy Engineering
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    • v.15 no.4 s.48
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    • pp.250-255
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    • 2006
  • In this study, the discrete ordinates method which has been widely used in the solution of neutron transport equation is applied to the solution of the time dependent radiative transfer equation. The self-adjoint form of the second order radiation intensity equation is used to enhance the stability of the solution, and a new multi-step linearization method is developed to avoid the nonlinearity in the material temperature equation. This new solution method is applied to the well known Marshak wave problem, and the numerical result is compared with that of the conventional Monte-Carlo method.

Numerical Simulation for Dam-break Flow with Wetting and Drying over Retaining Wall (댐 붕괴 흐름에 의한 옹벽의 잠김과 드러남에 대한 수치모의)

  • Hwang, Seung-Yong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.277-277
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    • 2018
  • Hwang (2015)은 불연속 지형을 지나는 천수 흐름의 해석에서 흐름률을 정확하게 계산하기 위하여 계단에 의한 흐름 저항이 지배적인 계단 전면과 그 영향이 비교적 덜한 계단의 윗부분을 구분하여 접근하는 새로운 기법을 제안하였으며, 모의 결과를 정확해 및 실험실 실험 결과와 비교하였다. 또한 전면 및 후면 계단을 지나는 댐 붕괴 흐름에 대한 실험(Kim et al., 2014)에 적용하여 기존 모형에 비해 새로운 기법에 의한 결과가 보다 우수함을 확인하였다(Hwang, 2016). Kim et al. (2015)은 좌안에 옹벽이 설치된 직선 수로에서 댐 붕괴 흐름에 대한 실험을 수행한 바 있다. 이 연구에서는 Kim et al. (2015)의 실험에 Hwang (2015)의 새로운 기법을 적용하였다. 댐 붕괴에 의한 주 흐름의 진행과 좌안에 직립인 옹벽에서 비교적 표고가 낮은 곳으로 물이 넘나드는 현상이 잘 재현됨을 확인하였다. 이 연구는 국토교통과학기술진흥원의 일부 지원(과제 번호: 14CCTI-C063749 그리고 18AWMP-C140010-01)에 의한 것이다.

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An Application of the Multi-slope MUSCL to the Shallow Water Equations (천수방정식에 대한 다중 경사 MUSCL의 적용)

  • Hwang, Seung-Yong;Lee, Sam-Hee
    • Journal of Korea Water Resources Association
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    • v.44 no.10
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    • pp.819-830
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    • 2011
  • The multi-slope MUSCL, proposed by T. Buffard and S. Clain, determines slopes of conserved variables at each edge of a cell in the linear reconstructions of data. In this study, the second order accurate numerical model was developed according to the multi-slope MUSCL to solve the shallow water equations on the unstructured grids. The HLLL scheme of approximate Riemann solvers was used to calculate fluxes. For the review of the applicability of the developed model, the results of the model were compared to the 'isolated building test' and the 'model city flooding experiment' conducted as part of the IMPACT (Investigation of extreMe flood Processes And unCerTainty) project in Europe. There were limitations to predict abrupt rising of water depths by the resistance of model buildings and water depths at the specific locations among the buildings. But they were identified as the same problems also revealed in results of the other models to the same experiment. On the more refined meshes to the 'model city flooding experiment' simulated results showed good agreement with measurements. It was verified that the developed model simulated well the complex phenomena such as a dam-break problem and the urban inundation by flash floods.

Development of a Numerical Model of Shallow-Water Flow using Cut-cell System (분할격자체계를 이용한 천수흐름 수치모형의 개발)

  • Kim, Hyung-Jun;Lee, Seung-Oh;Cho, Yong-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.4
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    • pp.91-100
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    • 2008
  • Numerical implementation with a Cartesian cut-cell method is conducted in this study. A Cartesian cut-cell method is an easy and efficient mesh generation methodology for complex geometries. In this method, a background Cartesian grid is employed for most of computational domain and a cut-cell grid is applied for the peculiar grids where the flow characteristics are changed such as solid boundary to enhance the accuracy, applicability and efficiency. Accurate representation of complex geometries can be obtained by using the cut-cell method. The cut-cell grids are constructed with irregular meshes which have various shape and size. Therefore, the finite volume method is applied to numerical discretization on a irregular domain. The HLLC approximate Riemann solver, a Godunov-type finite volume method, is employed to discretize the advection terms in the governing equations. The weighted average flux method applied on the Cartesian cut cell grid for stabilization of the numerical results. To validate the numerical model using the Cartesian cut-cell grids, the model is applied to the rectangular tank problem of which the exact solutions exist. As a comparison of numerical results with the analytical solutions, the numerical scheme well represents flow characteristics such as free surface elevation and velocities in x-and y-directions in a rectangular tank with the Cartesian and cut-cell grids.

A study on the wsggm-based spectral modeling of radiation properties of water vapor (회체가스중합법에 의한 수증기의 파장별 복사물성치 모델에 관한 연구)

  • Kim, Uk-Jung;Song, Tae-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.10
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    • pp.3371-3380
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    • 1996
  • Low resolution spectral modeling of water vapor is carried out by applying the weighted-sum-of-gray-gases model (WSGGM) to a narrow band. For a given narrow band, focus is placed on proper modeling of gray gas absorption coefficients vs. temeprature relation used for any solution methods for the Radiative Transfer Equation(RTE). Comparison between the modeled emissivity and the "true" emissivity obtained from a high temperatue statistical narrow band parameters is made ofr the total spectrum as well as for a few typical narrow bands. Application of the model to nonuniform gas layers is also made. Low resolution spectral intensities at the boundary are obtained for uniform, parabolic and boundary layer type temeprature profiles using the obtained for uniform, parabolic and boundary layer type temperature profiles using the obtained WSGGM's with 9 gray gases. The results are compared with the narrow band spectral intensities as obtained by a narrow band model-based code with the Curtis-Godson approximation. Good agreement is found between them. Local heat source strength and total wall heat flux are also compared for the cases of Kim et al, which again gives promising agreement.

A Study on Imposing Exact Solutions as Internal Boundary Conditions in Simulating Shallow-water Flows over a Step (계단을 지나는 천수 흐름의 모의에서 내부 경계조건으로서 정확해의 부여에 관한 연구)

  • Hwang, Seung-Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.2
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    • pp.479-492
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    • 2014
  • In this study, was proposed a numerical scheme imposing exact solutions as the internal boundary conditions for the shallow-water flows over a discontinuous transverse structure such as a step. The HLLL approximate Riemann solver with the MUSCL was used for the test of the proposed scheme. Very good agreement was obtained between simulations and exact solutions for various problems of the shallow-water flows over a step. In addition, results by the numerical model showed good agreement with those of dam-break experiments over a step and stepped chute one. Developed model can simulate the shallow-water flows over discontinuous bottom such as a drop structure without additional rating curve or topography smoothing. Given the proper evaluations for the flow resistance by a step and the energy loss by the nappe flow in the future, could be simulated flooding and drying of the shallow-water flows over discontinuous topography such as a weir or the river road with retaining wall.

Development of Two-dimensional Finite Volume Model Applicable to Mixed Meshes (혼합격자의 적용이 가능한 2차원 유한체적모형의 개발)

  • Kim, Byung-Hyun;Han, Kun-Yeon;Son, Ah-Long
    • Journal of Korea Water Resources Association
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    • v.44 no.2
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    • pp.109-123
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    • 2011
  • In this study, 2D finite volume model, which can apply to the mixed meshes that is effective to treat the complicated topography such as a natural river, is developed. To do so, an algorithm for finding the neighbouring cell of a computational cell is introduced, and fluxes are computed using the HLLC approximate Riemann solver at each interface between a computational cell and it's neighbouring cells. Moreover, in order to numerically treat the bed slope which has important effect on the balance between flux gradients and sourte terms, different formula to compute the bed slope for rectangular and triangular mesh are applied. The developed model is applied to analyze dam-break in an experimental channel with $90^{\circ}$ bend and Malpasset dam-break in France. The two cases consist of mixed meshes and the suggested method is validated for the experimental channel and natural channel by comparison with the experimental data, field data and computed results.