• Title/Summary/Keyword: 회선적분

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Application of a Convolution Method for the Fast Prediction of Wind-Induced Surface Current in the Yellow Sea and the East China Sea (표층해류 신속예측을 위한 회선적분법의 적용)

  • 강관수;정경태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.3
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    • pp.265-276
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    • 1995
  • In this Paper, the Performance of the convolution method has been investigated as an effort to develop a simple system of predicting wind-driven surface current on a real time basis. In this approach wind stress is assumed to be spatially uniform and the effect of atmospheric pressure is neglected. The discrete convolution weights are determined in advance at each point using a linear three-dimensional Galerkin model with linear shape functions(Galerkin-FEM model). Four directions of wind stress(e.g. NE, SW, NW, SE) with unit magnitude are imposed in the model calculation for the construction of data base for convolution weights. Given the time history of wind stress, it is then possible to predict with-driven currents promptly using the convolution product of finite length. An unsteady wind stress of arbitrary form can be approximated by a series of wind pulses with magnitude of 6 hour averaged value. A total of 12 pulses are involved in the convolution product To examine the accuracy of the convolution method a series of numerical experiments has been carried out in the idealized basin representing the scale of the Yellow Sea and the East China Sea. The wind stress imposed varies sinusoidally in time. It was found that the predicted surface currents and elevation fields were in good agreement with the results computed by the direct integration of the Galerkin model. A model with grid 1/8$^{\circ}$ in latitude, l/6$^{\circ}$ in longitude was established which covers the entire region of the Yellow Sea and the East China Sea. The numerical prediction in terms of the convolution product has been carried out with particular attention on the formation of upwind flow in the middle of the Yellow Sea by northerly wind.

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Rainfall runoff prediction using instantaneous unit hydrograph derived by dynamic wave model based (동역학파 기반 순간단위도를 이용한 유출수문곡선 예측)

  • Jeong, Minyeob;Kim, Jongho;Kim, Dae-Hong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.110-110
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    • 2019
  • 유역 강우-유출 과정의 물리적 특성과 비선형성을 반영하여 유출을 예측할 수 있는 새로운 방법을 제시한다. Dynamic wave 이론 기반의 강우-유출 모형과 유역의 지형적, 수문학적 특성을 이용하여 유역의 순간단위도를 S-수문곡선 방법을 통해 유도하였으며, 비선형성을 고려한 유출수문곡선 산정을 위해 순간단위도의 회선적분 시 강우강도별로 달라지는 순간단위도를 반영하였다. 기존 선형 가정에 근거한 단위도 방법이나, kinematic wave 이론 기반의 순간단위도 방법들에 비해 유역 반응의 물리적 특성과 비선형성을 잘 반영할 수 있었으며, 수치 시뮬레이션을 통한 강우유출 예측 방법에 비해 예측에 소요되는 시간이 짧다는 이점을 가졌다. 본 연구에서 제시한 방법에 대한 이상적 유역, 실제 유역에 대한 검증을 진행하였으며 실제 관측결과와 비교해 본 결과 유역의 강우-유출 관계를 정확히 예측하였다는 결론을 얻을 수 있었다.

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Performance Evaluation of the Velocity Profile Integration for the Multi-Path Ultrasonic Flowmeter in Symmetric & Asymmetric Flow Field (대칭 및 비대칭 유동장에서 다회선 초음파 유량계의 유속분포 적분 방법 평가)

  • Kim, Joo-Young;Kim, Kyung-Jin;Park, Sung-Ha
    • 유체기계공업학회:학술대회논문집
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    • 2002.12a
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    • pp.370-377
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    • 2002
  • Generally, the system of calculation for the multi-path ultrasonic flow meters can be divided into two methods by how to get the mean velocity, namely, weighting and direct method. Weighting-method derive the mean velocity through modeling in theoretical velocity profile. Direct-method derive the mean velocity though actual flow distribution. The system of calculation varies with maker's transducer configuration and integration method. Each system has merits and demerits. This paper describes the system of integration that calculates line velocity over cross-section of the circular pipe. Flow rate mr discussed in this paper is a difference between theoretical flow rate and integrated flow rate according to values of Reynolds number in symmetric flow field or theoretical flow rate and integrated flow rate according to rotated model in asymmetric flow field.

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Flowrate Integration Errors of Multi-path Ultrasonic Flowmeter using Weighting Factors (가중계수에 의한 다회선 초음파유량계의 유량적분오차)

  • Lee, Ho-June;Hwang, Shang-Yoon;Kim, Kyoung-Jin
    • The KSFM Journal of Fluid Machinery
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    • v.7 no.5 s.26
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    • pp.7-12
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    • 2004
  • Multi-path ultrasonic flowrate measuring technology is being received much attentions from a variety of industrial fields to exactly measure the flowrate. Multi-path ultrasonic flowmeter has much advantage since it has no moving parts and little pressure loss. It offers good accuracy, repeatability, linearity and turn-down ratio can be over 1:50. The present study investigates flowrate integration errors using weighting factors. A theoretical flow model uses power law to describe a fully developed velocity profiles and wall roughness is changed. Gaussian, Chebyshev, and Tailor methods are used to integrate line-average velocities. The obtained results show that Chebyshev method in 2, 4-path arrangement and Gaussian method in 3, 5-path arrangement are not affected for wall roughness changes.

Flowrate Integration Errors of Multi-path Ultrasonic Flowmeter using Weighting Factors (가중계수에 의한 다회선 초음파 유량계의 유량적분오차)

  • Lee, Ho-June;Hwang, Shang-Yoon;Kim, Kyoung-Jin
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.154-160
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    • 2003
  • Multi-path ultrasonic flowrate measuring technology is being received much attentions from a variety of industrial fields to exactly measure the flowmeter. Multi-path ultrasonic flowmeter has much advantage since it has no moving parts and not occurred pressure loss. It offers good accuracy, repeatability, linearity and Tum-down ratio can measure over 1:50. The present study investigates flowrate integration errors using weighting factors. A theoretical flow model uses power law to describe a fully developed velocity profiles and wall roughness changes. The methods of weighting factor simulate three configurations of measuring location of gaussian, chebyshev and tailor method. The obtained results show that many chord arrangements are not affected for wall roughness changes and can measure accurate flowrate.

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Uncertainty Analysis for the Multi-path Ultrasonic Flowmeter UR- 1000 with Dry Calibration (간접 교정에 의한 다회선 초음파유량계 UR-1000 불확도 분석)

  • Hwang, Shang-Yoon;Park, Sung-Ha;Park, Kyung-Am
    • 유체기계공업학회:학술대회논문집
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    • 2002.12a
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    • pp.378-386
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    • 2002
  • Multi-path ultrasonic Sow measurement system uncertainty is determined by assigning an expected error of each component of flow measurement and then defining the total flow measurement uncertainty as square root of the sum of squared values of the individual error. Sources of uncertainty for flow measurement are geometry, transit time and velocity profile integration uncertainty. A theoretical uncertainty model for multi-path ultrasonic transit time flowmeter configured with parallel 5 chords, is derived from and calculated by dry calibration method.

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Evaluating characteristics of runoff responses by rainfall direction (호우 방향성에 의한 유역 유출응답 특성 평가)

  • Park, Changyeol;Yoo, Chulsang
    • Journal of Korea Water Resources Association
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    • v.50 no.5
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    • pp.347-358
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    • 2017
  • This study examined characteristic differences by the rainfall direction on the runoff responses. The directional characteristics of hydrological components in a basin were quantified by von Mises distribution. The runoff hydrograph was derived using the result of convolution integration of each distribution and this hydrograph was compared with GIUH model and observed data. As a result, it was found that runoff response by rainfall direction was more similar the observed rainfall-runoff data than the runoff result using GIUH model. These results implies that runoff modeling could be improved by considering directional components in hydrologic analysis. This study would be helpful to reduce uncertainties of hydrologic analysis considering a non-linearity of rainfall-runoff process by the rainfall direction.

Uncertainty Evaluation of Velocity Integration Method for 5-Chord Ultrasonic Flow Meter Using Weighting Factor Method (가중계수법을 이용한 5회선 초음파 유량계의 유속적분방법의 불확도 평가)

  • Lee, Ho-June;Lee, Kwon-Hee;Noh, Seok-Hong;Hwang, Sang-Yoon;Noh, Young-Ah
    • 유체기계공업학회:학술대회논문집
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    • 2005.12a
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    • pp.287-294
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    • 2005
  • Flow rate measurement uncertainties of the ultrasonic flow meter are generally influenced by many different factors, such as Reynolds number, flow distortion, turbulence intensity, wall surface roughness, velocity integration method along the acoustic paths, and transducer installation method, etc. Of these influencing factors, one of the most important uncertainties comes from the velocity integration method. In the present study, a optimization weighting factor method for 5-chord, which is given by a function of the chord locations of acoustic paths, is employed to obtain the mean velocity in the flow through a pipe. The power law profile is assumed to model the axi-symmetric pipe flow and its results are compared with the present weighting factor concept. For an asymmetric pipe flow, the Salami flow model is applied to obtain the velocity profiles. These theoretical methods are also compared with the previous Gaussian, Chebyshev, and Tailor methods. The results obtained show that for the fully developed turbulent pipe flows with surface roughness effects, the present weighting factor method is much less sensitive than Chebyshev and Tailor methods, leading to a better reliability in flow rate measurement using the ultrasonic flow meters.

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An Alternative One-Step Computation Approach for Computing Thermal Stress of Asphalt Mixture: the Laplace Transformation (새로운 아스팔트 혼합물의 저온응력 계산 기법에 대한 고찰: 라플라스 변환)

  • Moon, Ki Hoon;Kwon, Oh Sun;Cho, Mun Jin;Cannone, Falchetto Augusto
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.39 no.1
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    • pp.219-225
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    • 2019
  • Computing low temperature performance of asphalt mixture is one of the important tasks especially for cold regions. It is well known that experimental creep testing work is needed for computation of thermal stress and critical cracking temperature of given asphalt mixture. Thermal stress is conventionally computed through two steps of computation. First, the relaxation modulus is generated thorough the inter-conversion of the experimental creep stiffness data through the application of Hopkins and Hamming's algorithm. Secondly, thermal stress is numerically estimated solving the convolution integral. In this paper, one-step thermal stress computation methodology based on the Laplace transformation is introduced. After the extensive experimental works and comparisons of two different computation approaches, it is found that Laplace transformation application provides reliable computation results compared to the conventional approach: using two step computation with Hopkins and Hamming's algorithm.

Physical and Deep Learning Hybrid Flood Forecasting Model for Ungauged Watersheds (미계측 유역을 위한 물리 및 딥러닝 기반 하이브리드 홍수 예측 모형)

  • Minyeob Jeong;Junho Cha;Chaeyeon Jin;Dae-Hong Kim
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.94-94
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    • 2023
  • 유역에서의 홍수를 예측하기 위한 다양한 강우-유출 모형들이 개발되어 사용되고 있다. 개념적 강우-유출 모형들은 신뢰성과 적용성이 높아 실무에서 널리 활용되어왔으나, 강우-유출 과정을 단순화하여 고려하므로 유출예측의 정확도에 한계가 있다. 또한 모형의 매개변수에 여러 불확실성이 존재하므로 충분한 양의 관측자료를 사용한 보정 작업이 필요하다. 물리적 강우-유출 모형들은 유출예측 결과가 비교적 물리적으로 정확하다는 장점이 있지만, 높은 계산 비용 및 수치적 불안정성으로 인하여 실무에의 적용이 힘들다. 본 연구에서는 홍수 예측의 정확도와 효율성을 모두 확보할 수 있는 하이브리드 기법을 개발하였다. 본 연구에서 개발한 기법은 물리적 모형인 동역학파 모형과 개념적 모형인 순간단위도 모형, 그리고 딥러닝 모형을 결합하여 사용하는 기법이다. 유역의 조도계수 및 지형을 활용한 동역학파 시뮬레이션을 수행하였으며, 동역학파 시뮬레이션 결과 및 멱함수로 나타내어지는 비선형적 강우-유출 관계를 이용하여 유역의 순간단위도를 유도였다. 또한, 딥러닝 모형인 LSTM 모형을 활용하여 강우손실 매개변수를 추정하였으며, 이를 이용하여 강우손실을 계산한 후 유효강우주상도를 산정하였다. 그리고 유역 출구에서의 홍수수문곡선은 유효강우주상도와 순간단위도를 활용한 회선적분을 통해 예측되었다. 본 연구에서 개발한 기법을 시험유역 및 자연유역에서의 홍수 예측에 적용해보았으며, 예측 결과는 NSE=0.55-0.90, R2=0.67-0.95의 높은 정확도를 보였다. 본 연구에서 유도하는 순간단위도는 한 유역에서 유일하지 않으며, 유효 강우강도의 함수이므로 홍수 예측에 비선형적 강우-유출 관계를 고려할 수 있으며, 수많은 유효 강우강도에 대한 순간단위도들은 멱함수를 이용하여 순간적으로 유도될 수 있다. 또한, 유역의 강우 특성이나 지표면의 토양수분, 식생과 같은 특성을 딥러닝 모형을 통해 고려함으로써 강우 손실 산정의 불확실성을 줄일 수 있다. 또한, 순간단위도 유도를 위한 기초작업인 동역학파 시뮬레이션은 유역의 지형과 조도계수만을 필요로 하므로 미계측 유역에의 적용이 유리하다.

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