• Title/Summary/Keyword: 수정된 오일러 방법

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Comparison of Numerical Methods on Heat Transfer in a Rod with Second Order-Boundary Value Problem (이차 경계문제를 가지는 봉의 열전달에 대한 수치해석적 비교)

  • Kim, M.J.;Chea, G.H.
    • Journal of Power System Engineering
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    • v.14 no.5
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    • pp.5-9
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    • 2010
  • 본 연구는 수정 오일러 법칙을 이용한 봉의 열전달문제를 엄밀해와 수치해를 수치해석적 해법을 이용해 비교한 것이다. 경계조건으로는 열전도 및 대류가 동시에 존재하는 경우의 모델을 가정하여 계산하였고, 봉의 길이가 원주방향에 비해 상당히 길다고 가정하여 1차원으로 지배방정식을 정리하여 2차 상미분방정식을 유도하여 계산을 수행하였다. 계산을 수행한 결과 적절한 초기 추측값인 ${\beta}$값을 정의하면 오일러의 방정식으로도 충분히 만족할만한 결과를 얻을 수 있다는 것을 알았고, 지수함수 형태의 유도 상관식이 엄밀해와 ${\pm}1%$ 범위 내에서 일치한다는 결과를 얻었다.

Retrieval of Remotely Sensed Fluid Velocity and Esimation of Its Accuracy by Eulerian Measurement (오일러 방법으로 원격 측정된 유체운동의 속도 산출과 정확도 평가)

  • Kim, Min-Seong;Lee, Kyung Hun;Kwon, Byung-Hyuk;Yoon, Hong-Joo
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.1
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    • pp.151-156
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    • 2021
  • The speed and direction of the earth's fluid motion is measured by a remote sensing method using electromagnetic waves. Using UHF radar and GPS Sonde, the vertical profile of fluid velocity was calculated by the Euler measurement method and the Lagrange measurement method, respectively. Since the wind direction, which is the direction of motion of the atmosphere, is indicated in the direction of the wind blowing, and a circular value of 0° - 360° is used, it is necessary to pay attention to statistical analysis. Errors caused by calculation conditions are provided, and the corrected accuracy of comparison results is improved by 400%.

Numerical Analysis of Arcs in SF6 Gas Circuit Breaker ($SF_6$ 차단기의 열가스 수치해석)

  • Bae, Chae-Yoon;Kim, Hong-Kyu;Jung, Hyn-Kyo
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.816-818
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    • 2000
  • 본 논문에서는 $SF_6$ 차단기 내의 대전류 아크에 대한 수치적인 해석을 모의하는 도구를 제시한다. 대전류의 차단을 위해서 해석을 통해 열적 파괴를 예측하는 것이 필수적이다. 본 논문에서 사용한 방법은 FVFLIC(finite volume fluid in cells)이며 지배방정식은 압축성 오일러 방정식으로 아크와 유동의 상호 작용을 해석한다. 아크는 기본적으로 에너지 보존식에서 열소스항으로 나타나며 주울열과 복사항으로 표현된다. 주울열은 플라즈마 영역내의 전계해석을 통해 계산되며 복사항은 방출과 흡수항의 합으로 나타내어지고 이것은 국소적인 온도와 압력의 함수이다. 본 논문에서는 수정된 방출과 흡수 모델로 복사 열전달을 계산하였다.

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A Study on Geometrical Glue Operation between Non-manifold Models (비다양체 모델간의 기하학적 접합 연산에 관한 연구)

  • Park, Sang-Ho
    • Journal of the Korea Computer Graphics Society
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    • v.4 no.1
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    • pp.11-19
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    • 1998
  • Non-manifold topological operations such as Euler and Boolean operations provide a versatile environment for modeling domains. The implementation of these operations raises geometrical issues that need to be addressed to ensure the topological validity of the underlying model, and they uses the glue operation which provides a basic method to modify the topology of non-manifold models when vertices, edges and faces are contacting each other. Topological information such as adjacency relationships should be inferred when gluing non-manifold models. Two methods of reasoning can be employed to find the topological information : topological reasoning and geometrical reasoning. The topological method can infer the adjacency relationships by using stored topological information. On the other hand, the geometrical method can find topological ambiguities by considering the geometrical shape at the local area of gluing when the topological relations were not stored. This paper describes the geometrical reasoning method.

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Modification of the Sloan치s Substepping Scheme for the Numerical Stress Integration of Elasto-plastic Constitutive Models (탄소성 구성 모델의 수치 응력 적분을 위한 단계분할 절차에 관한 연구)

  • 김범상;정충기
    • Geotechnical Engineering
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    • v.14 no.4
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    • pp.129-140
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    • 1998
  • Elasto-plastic finite element analysis of geotechnical boundary value problems necessitate the stress integration for the known strain increments. For the elasto-plastic constitutive model, the stress integration is generally achieved by numerical schemes, because analytical integration is impossible for general strain path. In this case, the accuracy of numerical stress integration has an important role on the overall accuracy of nonlinear finite element solution. In this study, the Sloan's substepping method which is one of explicit integration methods has been adopted and iris applicability has been checked. The unstability and inaccuracy of ifs results initiated from initial stress level were revealed. So. a new modified numerical integration method which employs the basic concept of modified Euler scheme for error control is proposed and accuracy and stability of the solutions are confirmed by triaxial test simulation.

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Comparison of Seawater Exchange Rate of Small Scale Inner Bays within Jinhae Bay (수치모델을 이용한 진해만 내 소규모 내만의 해수교환율 비교)

  • Kim, Nam Su;Kang, Hoon;Kwon, Min-Sun;Jang, Hyo-Sang;Kim, Jong Gu
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.19 no.1
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    • pp.74-85
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    • 2016
  • For the assessment of seawater exchange rates in Danghangpo bay, Dangdong bay, Wonmun bay, Gohyunsung bay, and Masan bay, which are small-scale inner bays of Jinhae bay, an EFDC model was used to reproduce the seawater flow of the entire Jinhae bay, and Lagrange (particle tracking) and Euler (dye diffusion) model techniques were used to calculate the seawater exchange rates for each of the bays. The seawater exchange rate obtained using the particle tracking method was the highest, at 60.84%, in Danghangpo bay, and the lowest, at 30.50%, in Masan bay. The seawater exchange rate calculated based on the dye diffusion method was the highest, at 45.40%, in Danghangpo bay, and the lowest, at 34.65%, in Masan bay. The sweater exchange rate was found to be the highest in Danghangpo bay likely because of a high flow velocity owing to the narrow entrance of the bay; and in the case of particle tracking method, the morphological characteristics of the particles affected the results, since once the particles get out, it is difficult for them to get back in. Meanwhile, in the case of the Lagrange method, when the particles flow back in by the flood current after escaping the ebb current, they flow back in intact. However, when a dye flows back in after escaping the bay, it becomes diluted by the open sea water. Thus, the seawater exchange rate calculated based on the dye diffusion method turned out to be higher in general, and even if a comparison of the sweater exchange rates calculated through two methods was conducted under the same condition, the results were completely different. Thus, when assessing the seawater exchange rate, more reasonable results could be obtained by either combining the two methods or selecting a modeling technique after giving sufficiently consideration to the purpose of the study and the characteristics of the coastal area. Meanwhile, through a comparison of the degree of closure and seawater exchange rates calculated through Lagrange and Euler methods, it was found that the seawater exchange rate was higher for a higher degree of closure, regardless of the numerical model technique. Thus, it was deemed that the degree of closure would be inappropriate to be used as an index for the closeness of the bay, and some modifications as well as supplementary information would be necessary in this regard.