• Title/Summary/Keyword: 도식(圖式)

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Effects of Spatial Discretization Schemes on Numerical Solutions of Viscoelastic Fluid Flows (공간차분도식이 점탄성 유체유동의 수치해에 미치는 영향)

  • Min, Tae-Gee;Yoo, Jung-Yul;Choi, Hae-Cheon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.9
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    • pp.1227-1238
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    • 2000
  • This study examines the effects of the discretization schemes on numerical solutions of viscoelastic fluid flows. For this purpose, a temporally evolving mixing layer, a two-dimensional vortex pair interacting with a wall, and a turbulent channel flow are selected as the test cases. We adopt a fourth-order compact scheme (COM4) for polymeric stress derivatives in the momentum equations. For convective derivatives in the constitutive equations, the first-order upwind difference scheme (UD) and artificial diffusion scheme (AD), which are commonly used in the literature, show most stable and smooth solutions even for highly extensional flows. However, the stress fields are smeared too much and the flow fields are quite different from those obtained by higher-order upwind difference schemes for the same flow parameters. Among higher-order upwind difference schemes, a third-order compact upwind difference scheme (CUD3) shows most stable and accurate solutions. Therefore, a combination of CUD3 for the convective derivatives in the constitutive equations and COM4 for the polymeric stress derivatives in the momentum equations is recommended to be used for numerical simulation of highly extensional flows.

Wifi Fingerprint Calibration Using Semi-Supervised Self Organizing Map (반지도식 자기조직화지도를 이용한 wifi fingerprint 보정 방법)

  • Thai, Quang Tung;Chung, Ki-Sook;Keum, Changsup
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.42 no.2
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    • pp.536-544
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    • 2017
  • Wireless RSSI (Received Signal Strength Indication) fingerprinting is one of the most popular methods for indoor positioning as it provides reasonable accuracy while being able to exploit existing wireless infrastructure. However, the process of radio map construction (aka fingerprint calibration) is laborious and time consuming as precise physical coordinates and wireless signals have to be measured at multiple locations of target environment. This paper proposes a method to build the map from a combination of RSSIs without location information collected in a crowdsourcing fashion, and a handful of labeled RSSIs using a semi-supervised self organizing map learning algorithm. Experiment on simulated data shows promising results as the method is able to recover the full map effectively with only 1% RSSI samples from the fingerprint database.

Construction of a Student-Generated Algorithm for Fraction Measurement Division (분수나눗셈을 해결하기 위한 학생들의 자기-생성 알고리듬 구성에 관한 연구)

  • Shin, Jae-Hong
    • School Mathematics
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    • v.12 no.3
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    • pp.439-454
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    • 2010
  • This study presents how two eighth grade students generated their own algorithms in the context of fraction measurement division situations by modifications of unit-segmenting schemes. Teaching experiment was adopted as a research methodology and part of data from a year-long teaching experiment were used for this report. The present study indicates that the two participating students' construction of reciprocal relationship between the referent whole [one] and the divisor by using their unit- segmenting schemes and its strategic use finally led the students to establish an algorithm for fraction measurement division problems, which was on par with the traditional invert-and-multi- ply algorithm for fraction division. The results of the study imply that teachers' instruction based on understanding student-generated algorithms needs to be accounted as one of the crucial characteristics of good mathematics teaching.

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Simulation of Three-Dimensional Turbulent Flows around an Ahmed Body-Evaluation of Finite Differencing Schemes- (Ahmed body 주위의 3차원 난류유동 해석-유한차분도식의 평가-)

  • Myeong, Hyeon-Guk;Park, Hui-Gyeong;Jin, Eun-Ju
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.11
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    • pp.3589-3597
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    • 1996
  • The Reynolds-averaged Navier-Stokes equations with the equations of the k-.epsilon. turbulence model are solved numerically in a general curvilinear system for a three-dimensional turbulent flow around an Ahmed body. The simulation is especially aimed at the evaluation of three finite differencing schemes for the convection term, which include the upwind differencing scheme(UDS), the second order upwind differencing scheme(SOU scheme) and the QUICK scheme. The drag coefficient, the velocity and pressure fields are found to be changed considerably with the adopted finite differencing schemes. It is clearly demonstrated that the large difference between computation and experiment in the drag coefficient is due to relatively high predicted values of pressure drag from both front part and vertical rear end base. The results also show that the simulation with the QUICK or SOU scheme predicts fairly well the flow field and gives more accurate drag coefficient than other finite differencing scheme.

Derivation of Probable Rainfall Intensity Formula Using Genetic Algorithm (유전자 알고리즘을 이용한 확률강우강도식의 산정)

  • La, Chang-Jin;Kim, Joong-Hoon;Lee, Eun-Tai;Ahn, Won-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.1 no.1 s.1
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    • pp.103-115
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    • 2001
  • The current procedure to design hydraulic structures in a small basin area is to estimate the probable rainfall depth using rainfall intensity formula. The estimation of probable rainfall depth has many uncertainties inherent with it. However, it has been inevitable to simplify the nonlinearity if the rainfall in practice. This study attend to address a method which can model the nonlinearity in order to derive better rainfall intensity formula for the estimation of probable rainfall depth. The results show that genetic algorithm is more reliable and accurate than trial-and-error method or nonlinear programming technique(Powell's method) in the derivation of the rainfall intensity formula.

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Study on High Accurate Schemes for Simulation of Free-surface Flow (자유표면 유동 시뮬레이션을 위한 고정확도 수치도식의 검토)

  • Park, Jong-Chun;Lee, Byoung-Hyuk;Kim, Jeung-Hu
    • Journal of Ocean Engineering and Technology
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    • v.20 no.4 s.71
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    • pp.31-36
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    • 2006
  • Numerical schemes for spacing and time are tested to accurately simulate the wave propagation. The tested numerical schemesinclude 2nd-order central differencing, l-order upwind scheme, 2nd-order Leith scheme, 3rd-order MUSCLE, QUICK and QUICKEST schemes in spacing and the Euler and 4th-order Runge-Kutta(R-K) schemes in time. It is seen that more accurate results are expected when the higher-order schemes, especially the schemes combined with a TVD control limiter, are used for solving the wave equation. The 3rd-order upwind scheme with limiter and the 4th-order R-K scheme in tim£ are finally applied to the wave-making simulation in a digital wave tank.

Numerical Study on Three - Dimensional Viscous Flows in Turbine Blade Passages (터빈 블레이드 통로에서의 3차원 점성유동에 대한 수치해석)

  • 윤준원;유정열
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.527-539
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    • 1992
  • 본 연구에서는 터빈익렬의 입구유동면에 주어지는 끝벽 경계층유동에 의하여 익렬 내의 유동에서 발생하는 여러 와류들에 의한 2차 유동과 이와 연관된 여러가지 3차원 점성유동 현상 그리고 이에 따른 유동손실을 보다 정확히 예측하기 위한 수치해 석적 연구를 수행하였으며, 이에 필요한 수치해석적 연구를 수행하였으며, 이에 필요 한 수치해석코드를 작성하였다.유동특성에 대하여 상세한 연구결과가 보고되어 있 는 UTRC(United Technologies Research Center) 평면 터빈익렬을 연구대상으로 채택하 여 익렬 내의 3차원 유동특성을 연구하고 계산한 결과를 기존의 결과와 비교 검토하였 다. 강한 2차유동이 존재하는 경우에 발생하는 수치확산을 감소시키기 위하여 대류 항에 대하여 2차 정확도(second-order accuracy)의 선형상류도식(linear upwind sche- me)을 사용하여 일반적으로 널리 사용되는 하이브리드도식(hybrid scheme)에 의한 해 석결과와 비교하였다. 터빈익렬 내의 난류 유동은 익렬의 회전과 유선의 만곡 등에 의한 영향으로 복잡한 유동현상을 나타내지만, 터빈익렬 내의 난류유동 특성에 대한 실험결과가 아직까지는 부족하고 또한 본 연구에서는 평균유동값의 정확한 해석에 중 점을 두었으므로 표준 k-.epsilon. 모델을 사용하였다.