• Title/Summary/Keyword: 사상함수

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A Study on Numerical Conformal Mapping by Low Frequency pass Filter (저주파 필터를 이용한 수치등각사상에 관한 연구)

  • Song, Eun-jee
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.10a
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    • pp.821-824
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    • 2009
  • Conformal mapping is useful to solve problems in physics, engineering and so on. This paper is to discuss the numerical conformal mapping from the unit disk onto Jordan region, which can be solved by Theodorsen equation. Wegmann's method has been known as the most efficient one for the Theodorsen equation. However, we found divergence through numerical experiments by the iterative method of Wegmann. The divergence occurs especially when some degree of difficulty is high. We analyze the cause of divergence and propose an improved method by applying a low frequency pass filter to Wegmann's method. By this proposed method we can get a stable convergence for all the problems which was unstable with the Wegmann's method.

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Assessment of Soil Erosion and Sedimentation in Cheoncheon Basin Considering Hourly Rainfall (시강우를 고려한 천천유역의 토양침식 및 퇴적 평가)

  • Kim, Seongwon;Lee, Daeeop;Jung, Sungho;Lee, Giha
    • Journal of the Korean GEO-environmental Society
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    • v.21 no.4
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    • pp.5-17
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    • 2020
  • In recent years, the frequency of heavy rainfall associated with high rainfall intensity has been continuously increasing due to the effects of climate change; and thus also causes an increase in watershed soil erosion. The existing estimation techniques, used for the prediction of soil erosion in Korea have limitations in predicting the: average soil erosion in watersheds, and the soil erosion associated with abnormal short-term rainfall events. Therefore, it is necessary to consider the characteristics of torrential rainfall, and utilize physics-based model to accurately determine the soil erosion characteristics of a watershed. In this study, the rainfall kinetic energy equation, in the form of power function, is proposed by applying the probability density function, to analyze the rainfall particle distribution. The distributed rainfall-erosion model, which utilizes the proposed rainfall kinetic energy equation, was utilized in this study to determine the soil erosion associated with various typhoon events that occurred at Cheoncheon watershed. As a result, the model efficiency parameters of the model for NSE and RMSE are 0.036 and 4.995 ppm, respectively. Therefore, the suggested soil erosion model, coupled with the proposed rainfall-energy estimation, shows accurate results in predicting soil erosion in a watershed due to short-term rainfall events.

Regionalized Sensitivity Analysis of Extended TOPMODEL (확장 TOPMODEL의 영역화 민감도 분석)

  • Kim, Sang-Hyeon
    • Journal of Korea Water Resources Association
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    • v.31 no.6
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    • pp.741-755
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    • 1998
  • An extension of TOPMODEL was developed for rainfall-runoff simulation in agricultural watersheds equipped with tile drains. Tile drain functions are incorporated into the framework of TOPMODEL. Nine possible flow generation scenarios are suggested for tile drained watershed and applied in the modeling procedure. In the model development process, the traditional physically based storage approach and a new approach using a transfer function for the simulation of the flow in the unsaturated zone were compared. In order to provide better insight into the simulation process, a regionalized sensitivity analysis was performed to test the performance of the model and to compare the behavior of the transfer function to that of the simple storage related formulation. The results of analysis show good performance of the transfer function approach. Since the rainfall-runoff response pattern tends to vary seasonally, seven events distributed throughout a year were used in the sensitivity analysis to investigate the seasonal variation of the hydrologic characteristics. It is found that the sensitivity of each parameter described by the model are varied seasonally.

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An analysis of runoff characteristic by using soil moisture in Sulma basin (설마천 연구지역에서의 토양수분량을 활용한 유출 발생 특성분석)

  • Kim, Kiyoung;Lee, Yongjun;Jung, Sungwon;Lee, Yeongil
    • Journal of Korea Water Resources Association
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    • v.52 no.9
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    • pp.615-626
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    • 2019
  • Soil moisture and runoff have very close relationship. Especially the water retention capacity and drainage characteristics of the soil are determined by various factors of the soil. In this study, a total of 40 rainfall events were identified from the entire rainfall events of Sulma basin in 2016 and 2017. For each selected events, the constant-K method was used to separate direct runoff and baseflow from total flow and calculate the runoff coefficient which shows positive exponential curve with Antecedent Soil Moisture (ASM). In addition to that, the threshold of soil moisture was determined at the point where the runoff coefficient starts increasing dramatically. The threshold of soil moisture shows great correlation with runoff and depth to water table. It was founded that not only ASM but also various factors, such as Initial Soil Moisture (ISM), storage capacity of soil and precipitation, affect the results of runoff response. Furthermore, wet condition and dry condition are separated by ASM threshold and the start and peak response are analyzed. And the results show that the response under wet condition occurred more quickly than that of dry condition. In most events occurred in dry condition, factors reached peak in order of soil moisture, depth to water table and runoff. However, in wet condition, they reached peak in order of depth to water table, runoff and soil moisture. These results will help identify the interaction among factors which affect the runoff, and it will help establish the relationship between various soil conditions and runoff.

Decision of the Representative Moving Direction of a Storm Event (호우사상의 대표 이동방향 결정)

  • Yoo, Chul-Sang;Park, Chang-Yeol
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.2
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    • pp.91-102
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    • 2010
  • This study analyzed methodologies for determining the representative direction of a storm event. The mean direction, median direction, and modal direction of von Mises distribution were considered as representative directions. In addition, the results with and without considering the storm moving distance were also compared. As results, the modal directions of von Mises distribution were found to explain the directional characteristics of a moving storm much better than other methods. Also, it was found that the storm moving distance has a significant effect on the determination of representative directions of a moving storm, whose uncertainty can also be decreased significantly by considering the moving distance.

On the Filtering of Hangul character Element with the Spatial Positioning Modulation (공간 위치 변조에 의한 한글자소의 필터링)

  • 강대수;진용옥
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.9
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    • pp.1029-1039
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    • 1992
  • This paper presents the filtering method which is processed on the frequency domain among Hangul character recognition methods. It is processed the Hangul character parrern with spatial positioning modulation and mapped the Hangul character element which have spatial position variant feature onto frequency domain, at this time, normalized spatial position and so normalized the character size in frequency domain. And it is grouped the Hangul character element according to the generating position and set the standard pattern, and used each standard character element pattern with character element filter and filtering the character pattern of Hangul character, it is derived the normalized cross correlation function and the coherence function led to the filtering results, and calculated classification threshold.

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Evaluation on Applicability of On/Off-line Parameter Calibration Techniques in Rainfall-Runoff Modeling (온·오프라인 매개변수 보정기법에 따른 강우-유출해석 적용성 평가)

  • Lee, Dae Eop;Kim, Yeon Su;Yu, Wan Sik;Lee, Gi Ha
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.34-34
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    • 2017
  • 유역에 대한 유출해석은 지속가능한 수자원 관리 및 수재해 예방을 위한 가장 기본적이지만 중요한 과제이며, 우리나라와 같이 홍수와 가뭄의 재해에 의해 많은 영향을 받는 지역에서는 더욱 중요한 문제로 이러한 유출현상을 물리적으로 표현하기 위해 다양한 모형들을 활용하여 강우-유출해석을 수행하게 된다. 모형을 통한 유출해석에 있어 매개변수 추정은 유출해석 결과에 지대한 영향을 주기에 최적 매개변수를 추정하는 것은 예측결과의 성능 향상에 매우 중요한 사항이며 보다 효율적인 매개변수의 추정을 위해 추정방법간의 비교 및 검토를 통해 적용성을 판단하는 과정이 필요하다. 이를 위해 본 연구에서는 개념적 집중형 수문모형의 매개변수 보정을 위해 오프라인과 온라인의 매개변수 자동보정기법을 이용하여 매개변수를 추정하였으며, 기법별로 추정된 매개변수를 이용한 수문해석 결과의 비교 검토를 통해 각 기법의 장 단점 분석 및 적용성 평가를 수행하였다. 연구대상지역으로 용담댐 상류 천천 유역을 선정하고, 강우유출 모의를 위해 저류함수모형을 선정하였으며, 매개변수 보정을 위한 자동보정기법으로 오프라인 방법으로는 SCE-UA, 온라인 방법으로는 PF 기법을 선정하여 적용하였으며, 총 9개의 강우사상에 대해 강우-유출 모의를 수행하였다. 본 연구의 결과는 강우-유출해석을 위한 사용자의 목적에 맞는 매개변수 자동보정기법의 선정에 있어 유용할 것으로 판단되며, 시간단계 또는 사상별 최적화된 매개변수를 유역에 대한 최적 매개변수로 변환 또는 전이하기 위한 연구가 추가적으로 필요할 것으로 판단된다.

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Development of a Daily Snowmelt Depth Model using Multiple Linear Regression (다중회귀모형을 활용한 일 단위 융설 깊이 예측 모형 개발)

  • Oh, Yeoung Rok;Lee, Gyumin;Shin, Hyungjin;Jun, Kyung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.374-374
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    • 2021
  • 최근 우리나라에도 대설로 인한 피해가 발생하고 있으며, 피해의 대부분은 강설 발생 이후 남아 있는 적설량이 주된 원인이 되고 있다. 적설량에 대한 예측은 대설피해에 대응하기 위한 중요한 정보이다. 따라서 본 연구에서는 융설량에 영향을 미칠것으로 판단되는 적설량, 기온, 습도, 일사량을 반영하여 일일 융설량을 모의하는 다중회귀모형을 구성하였다. 모형은 2000년부터 2020년까지의 강설 사상을 대상으로 구축하였으며, 2021년에 발생한 광주, 대관령, 목포, 서산, 전주 지역의 강설 사상에 적용하였다. 분석 대상 지역의 평균 적설량은 7.41 cm로 나타났으며, 평균 RMSE는 1.64 cm가 발생하였다. 오차의 원인으로는 적설량이 1 cm 미만 감소했을 경우, 바람이나 승화의 영향이 상대적으로 크게 작용할 수 있으나, 본 연구에 이용된 함수는 바람과 증발산 등이 고려되지 않았다. 또한, 회귀계수 결정에서 급격한 온도 변화를 능동적으로 반영하기 어려워 급상승한 온도나 매우 낮은 온도에 오차가 더 크게 나타난다. 따라서, 본 함수를 통하여 융설 깊이를 예측하기 위해서는 매우 높은 온도나, 매우 낮은 온도에서의 영향을 통제할 수 있는 변수 또는 상수를 추가할 필요가 있는 것으로 판단된다. 또한 초기 강설 당시의 기온과 습도 등에 따라, 눈의 결정이 달라지고, 이에 따라 융설에도 영향을 미칠 수 있다는 점을 이해하여, 초기 적설에 대한 변수도 고려되어야 할 것이다.

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Analysis of Uncertainty of Rainfall Frequency Analysis Including Extreme Rainfall Events (극치강우사상을 포함한 강우빈도분석의 불확실성 분석)

  • Kim, Sang-Ug;Lee, Kil-Seong;Park, Young-Jin
    • Journal of Korea Water Resources Association
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    • v.43 no.4
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    • pp.337-351
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    • 2010
  • There is a growing dissatisfaction with use of conventional statistical methods for the prediction of extreme events. Conventional methodology for modeling extreme event consists of adopting an asymptotic model to describe stochastic variation. However asymptotically motivated models remain the centerpiece of our modeling strategy, since without such an asymptotic basis, models have no rational for extrapolation beyond the level of observed data. Also, this asymptotic models ignored or overestimate the uncertainty and finally decrease the reliability of uncertainty. Therefore this article provide the research example of the extreme rainfall event and the methodology to reduce the uncertainty. In this study, the Bayesian MCMC (Bayesian Markov Chain Monte Carlo) and the MLE (Maximum Likelihood Estimation) methods using a quadratic approximation are applied to perform the at-site rainfall frequency analysis. Especially, the GEV distribution and Gumbel distribution which frequently used distribution in the fields of rainfall frequency distribution are used and compared. Also, the results of two distribution are analyzed and compared in the aspect of uncertainty.