• Title/Summary/Keyword: 2차정확도

Search Result 565, Processing Time 0.027 seconds

Navier-Stokes 방정식의 유한차등법에 관하여

  • 김성준
    • Journal of the KSME
    • /
    • v.26 no.2
    • /
    • pp.138-144
    • /
    • 1986
  • 지금까지 몇가지의 차등법들을 계산의 정확도 및 안정성에 관하여 검토하였다. 상류 차등법과 왜도 차등법은 좋은 안정성을 가지고 있으나 그 정확도가 미흡한게 결점이고 중앙 차등법은 비 교적 좋은 정확드를 가지고 있으나 불안정한게 큰 결점이다. QUICK 차등법의 경우에는 보다 정확한 수치해를 얻기위해 종속 변수를 보다 고차의 근사치로 표시하였는데 정확도가 증가함에 따라 몇가지의 불이익이 생기게 된다. 그 불이익으로는 제일 먼저 계산 비용의 증가를 들 수 있으며 수치 계산이 불안정하게 되고 경계 조건의 표시가 어려워 진다. 또한 난류 에너지 방 정식과 같이 종속 변수가 반드시 양수값을 갖는 방정식에서 그 차등방정식의 종속 변수도 양수 치를 가져야 한다는 제한 조건을 만족시키는데 일반적으로 어려움이 많다. 그 이유는 QUICK 차등법을 이용한 차등방정식은 흔히 음수치의 원천항을 갖기 때문에 차등방정식을 푼 후 그 종속 변수가 음수치를 갖기 때문이다. 아직도 고차의 정확도를 갖는 차등법이 연구 개발중이며 종속 변수가 반드시 양수치인 유동방정식을 푸는 좋은 차등법은 아직까지도 없는 실정이어서 2차 이 상의 정확도와 절대 안정성 (absolute stability)을 갖는 새로운 차등법의 개급이 시발하다 하겠다.

  • PDF

P-△ Analysis for Design of Reinforced Concrete Slender Columns (철근 콘크리트 장주 설계를 위한 P-△ 해석)

  • Lee, Jae Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.12 no.4_1
    • /
    • pp.87-96
    • /
    • 1992
  • Moment Magnifier Method has been generally used in estimation of total column moment induced by geometric nonlinearity for reinforced concrete slender column design, however second order analysis such as P-${\Delta}$ method has been recommended by Code for better result. Member stiffness estimation is the most significant factor for accuracy of second order analysis. Equivalent Column stiffness based on theoretically obtained moment-curvature-thrust relationship has been proposed and the analytical results of the proposed method, MacGregor-Hage Method, Furlong's Method, and Moment Magnifier Method are compared with experimentally obtained data.

  • PDF

Numerical Simulation of Incompressible Laminar Flow around a Propeller Using the Multigrid Technique (멀티그리드 방법을 이용한 프로펠러 주위의 비압축성 층류유동 계산)

  • W.G. Park
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.31 no.4
    • /
    • pp.41-50
    • /
    • 1994
  • An iterative time marching procedure for solving incompressible viscous flows has been applied to the flow around a propeller. This procedure solves three-dimensional Navier-Stokes equations on a moving, body-fitted, non-orthogonal grid using first-order accurate scheme for the time deivatives and second-and third-order accurate schemes for the spatial derivatives. To accelerate iterative process, a multigrid technique has been applied. This procedure is suitable for efficient execution on the current generation of vector or massively parallel computer architectures. Generally good agreement with published experimental and numerical data has been obtained. It was also found that the multigrid technique was efficient in reducing the CPU time needed for the simulation and improved the solution quality.

  • PDF

Creating Mosaic Image of the Korean Peninsula from CORONA Imagery (CORONA 영상을 이용한 한반도 지역 모자이크 영상 제작)

  • Song, Yeong-Sun
    • Journal of Korean Society for Geospatial Information Science
    • /
    • v.13 no.4 s.34
    • /
    • pp.67-73
    • /
    • 2005
  • The urbanization of Korea has been rapidly progressed since 1960, but satellite imagery have provided the information only after 1975. Recently released CORONA imagery is one of the few source of satellite image which can provide 1960's topographic information of the Korean Peninsular. It can be applied to change detection in various fields such as urban, forest, and environmental planning. In this research mosaic image of past Korean Peninsular using CORONA imagery in the 1960s were generated. A polynomial equation and a modified collinearity equation were applied for geo-referencing and a comparative analysis was conducted. In this research the 2nd polynomial equations were used for geo-referencing of CORONA imagery. After carrying out geo-referencing, mosaic image was generated using Erdas Imagine. It is assumed that this result image is very useful for various fields such as generation of thematic maps, urban planning, and change detection.

  • PDF

Accuracy Evaluation and Analysis of SLAM for the Advancement of Forest Investigation (산림조사 고도화를 위한 SLAM의 정확도 평가 및 분석)

  • Yun, Hee-Cheon;Lee, Jong-Sin
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.19 no.12
    • /
    • pp.734-739
    • /
    • 2018
  • The National Forestry Inventory of Korea has started the 7th (2016 ~ 2020) survey from the first (1972 ~ 1974) National Forest Situation Survey. The diameter at breast height was measured using a diameter tape, and the tree height was measured using a hypsometer in the National Forestry Inventory of Korea from the 1st to recently the 7th surveying. In the case of the diameter tape, however, irregularly shaped trees may cause a large error. In the case of a hypsometer, the height may be measured indirectly in 10 cm increments to the front edge of the tree, so that the accuracy may be lowered. This paper suggests the use of SLAM to improve the accuracy and advance forest investigations. For this purpose, a test bed for the measurement of DBH and tree height was set up, and the scan data was acquired directly using SLAM equipment. The accuracy of DBH and tree height measurements were analyzed. As a result, it was possible to calculate directly the DBH and tree height to 1mm unit, and it showed that the DBH accuracy of 2cm or less and the accuracy of the tree height accuracy of 1.3cm or less are sufficient for practical use. Based on the results, the scan data will be acquired for sample points and analyzed.

Numerical Experiments of the Shallow Water Equations to the Wetting and Drying on Sloping Beds (경사면의 잠김과 드러남에 대한 천수방정식의 수치 실험)

  • Hwang, Seung-Yong
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2012.05a
    • /
    • pp.581-581
    • /
    • 2012
  • 경사면의 잠김과 드러남(wetting and drying)에 대한 천수방정식의 수치 실험으로서 그 전선 근처에서 수심이 매우 작은 경우, 수심이 작을 때 2차 정확도를 위한 MUSCL의 적용 여부, 그리고 마찰 적용의 한계 수심 등에 대해 수심경사법(DGM)과 수면경사법(SGM)을 비교 검토하였다. 먼저, 포물선형 융기에서 정상상태의 기준해와 비교하고 하류에서 배수(drain)가 되는 경우를 상정하였다. 그리고 삼각형 바닥 턱을 지나는 댐 붕괴 흐름에 대한 실험의 결과와 비교하였다. 마지막으로 유사난수 발생에 의한 불규칙 바닥 구간을 지나는 가상 댐 붕괴 흐름에 대해 모의하였다. 정상 상태의 잠긴 바닥(wet bed)에 대해 정수 상태에서 SGM의 선평형성(well-balancedness)이 만족되었으나, 흐름이 상류와 사류일 때 각각 DGM과 SGM에서 유량 변동이 있음을 확인하였다. 드러난 바닥(dry bed)으로 흐름이 진행될 때 수심이 음의 값이 되지 않도록 잠김 드러남 전선근처에서 수심이 매우 작아지는 경우($<1{\times}10^{-6}m{\sim}1{\times}10^{-5}m$) 수심을 0으로 강제하고, n이 0.011과 0.04인 경우 수심이 각각 $1{\times}10^{-4}m$$1{\times}10^{-2}m$보다 작은 경우 마찰의 적용을 배제하는 것이 불가피하였다. SGM에 의한 MUSCL에서 수심이 $5{\times}10^{-5}m{\sim}5{\times}10^{-2}m$보다 작을 때 1차 정확도로 회귀가 불가피하였으나, DGM에서는 그와 같은 정확도의 훼손이 나타나지 않았다.

  • PDF

Application of trajectory data mining to improve the estimation accuracy of launcher trajectory by telemetry ground system (원격자료수신장비의 발사체궤적 추정정확도 향상을 위한 궤적데이터마이닝의 적용)

  • Lee, Sunghee;Kim, Doo-gyung;Kim, Keun-hyung
    • Journal of Korea Society of Industrial Information Systems
    • /
    • v.20 no.5
    • /
    • pp.1-11
    • /
    • 2015
  • This paper is focused on how the trajectory of launch vehicle could be optimally estimated by the quadratic regression of trajectory data mining for the operation of telemetry ground system in NARO space center during real-time. To receive the telemetry data, the telemetry ground system has to track the space launch vehicle without tracking loss, and it is possible by the well-designed algorithm to estimate a flight position in real-time. For this reason, the quadratic regression model instead of interpolation was considered to estimate the exact position data of launch vehicle and the improvement of antenna performance. For analysis, the real trajectory data which had been logged during NARO 1st launch mission were used, the estimation result of launcher current position was analyzed by the mathematical modeling. In conclusion, the algorithm using quadratic regression based on trajectory data mining showed the better performance than previous interpolation algorithm to estimate the next flight position and the antenna driving performance.

Positional Accuracy Analysis According to the Exterior Orientation Parameters of a Low-Cost Drone (저가형 드론의 외부표정요소에 따른 위치결정 정확도 분석)

  • Kim, Doo Pyo;Lee, Jae One
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.42 no.2
    • /
    • pp.291-298
    • /
    • 2022
  • Recently developed drones are inexpensive and very convenient to operate. As a result, the production and utilization of spatial information using drones are increasing. However, most drones acquire images with a low-cost global navigation satellite system (GNSS) and an inertial measurement unit (IMU). Accordingly, the accuracy of the initial location and rotation angle elements of the image is low. In addition, because these drones are small and light, they can be greatly affected by wind, making it difficult to maintain a certain overlap, which degrades the positioning accuracy. Therefore, in this study, images are taken at different times in order to analyze the positioning accuracy according to changes in certain exterior orientation parameters. To do this, image processing was performed with Pix4D Mapper and the accuracy of the results was analyzed. In order to analyze the variation of the accuracy according to the exterior orientation parameters in detail, the exterior orientation parameters of the first processing result were used as meta-data for the second processing. Subsequently, the amount of change in the exterior orientation parameters was analyzed by in a strip-by-strip manner. As a result, it was proved that the changes of the Omega and Phi values among the rotation elements were related to a decrease in the height accuracy, while changes in Kappa were linked to the horizontal accuracy.

Moment Magnification Factors of Reinforced Concete Slender Columns for Lateral Displacement (횡변위에 대한 철근 콘크리트 장주의 모멘트 확대계수)

  • Lee, Jae Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.11 no.4
    • /
    • pp.67-79
    • /
    • 1991
  • Geomrtric nonlinearity of axially and laterally loaded reinforced concrete slender columns has been generally considered by use of second order analysis such as $P-{\Delta}$ method. Complex procedure in second order analysis may not be a difficult problem with computer aid, however it has been seldom used in design offices because of the need of carefully decided input data. In lieu of second order analyses, the Korean and the American concrete codes have adopted the moment magnifier method. It is known, however, that this method results in too conservative design in some cases. Accuracy of the moment magnifier method to the experimentally obtained data has been reviewed and an improved method has been proposed for better result.

  • PDF