• Title/Summary/Keyword: Monte Carlo 계산

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라틴-하이퍼큐브 실험게획 간의 거리 계산과 비교

  • 박정수;황현식
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.477-488
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    • 2000
  • A distance measure between two Latin-hypercube designs is defined and its expected value is computed. It was computed by using mathematical statistics, numerical analysis (multidimensional numerical integration), Monte-carlo method, and the theory of asymptotic normal distribution. For the comparison of two Latin-hypercube designs with same structure but different randomness, the difference of expected values of response function and information mass of experimental designs are considered. These methods may be useful in comparison between two general experimental designs.

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Numerical Computation of the Backscattering Coefficients of Rice Fields Using the Impedance Boundary Condition, Moment Method and Monte Carlo Method (임피던스 경계 조건, 모멘트 법과 몬테 카를로 방법을 이용한 논의 산란계수 수치적 계산과 측정 데이터와의 비교)

  • Hong, Jin-Young;Oh, Yi-Sok
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.7
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    • pp.819-827
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    • 2007
  • A numerical algorithm for estimating precise backscattering coefficients of rice fields is proposed and its accuracy is verified in this paper. After a bunch of rice plants above water surface is modeled with a bunch of randomly oriented lossy dielectric bodies above an impedance surface and the equivalent volume currents of the lossy dielectrics are computed using the moment method. Then, the scattered fields of a rice field with many bunches are computed with a Monte Carlo method, and consequently the backscattering coefficient of the rice field is computed for various incidence angles and polarizations. Finally, the backscattering coefficient of a rice field is measured at 1.85 GHz using an R-band scatterometer system, and these experimental data are used to verify the numerical algorithm proposed in this paper. It is found that the numerical computation results agree well with the measurement data.

Calculation of Shielding Rate and Dose Distribution of Space of L-Block-Type Protective Equipment for Radioactive Fluorine using the Monte Carlo Method (몬테칼로 방법을 이용한 방사성 불소에 대한 L-블럭형 방호장비의 차폐율 및 공간의 선량분포 계산)

  • Han, Dong-Hyun
    • Journal of the Korean Society of Radiology
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    • v.15 no.6
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    • pp.813-819
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    • 2021
  • In this study, the shielding rate of L-block-type shielding equipment used for radiation protection when radioactive fluorine is injected into the human body and the dose distribution of the space in the injection room were calculated using the Monte Carlo method. The shielding rate of the body and window parts of the L-block-type shielding equipment was 99.99%. The dose distribution calculated at a distance of 1 m was relatively high at 135°, 45°, 225°, 315°, and 180° of the XZ plane, and was calculated to be very low at 0°, 90°, and 270°. In the YZ plane, it was relatively high at 135°, 180°, and 225°, and was calculated very low at the remaining angles. The AZ and BZ planes also showed similar results to the YZ plane. In addition, it was confirmed that the shielding rate was the best in the range of 225° to 315° through the dose distribution in the horizontal direction of the source and the 45° direction above the source. These results can be used as basic data necessary for radiation protection of radiation workers.

A Study on the Prediction Technique of Impact Dispersion Area for Flight Safety Analysis (비행안전분석을 위한 낙하분산영역 예측 기법에 대한 연구)

  • Choi, Kyu-Sung;Sim, Hyung-Seok;Ko, Jeong-Hwan;Chung, Eui-Seung
    • Aerospace Engineering and Technology
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    • v.13 no.2
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    • pp.177-184
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    • 2014
  • Flight safety analyses concerned with Launch Vehicle are performed to measure the risk to the people, ship and aircraft using impact point and impact dispersion area of debris generated by on-trajectory failures and malfunction turns. Predictions of impact point and impact dispersion area are essential for launch vehicle's flight safety analysis. Usually, impact dispersion area can be estimated in using Monte-Carlo simulation. However, Monte-Carlo method requires more several hundreds of iterative calculations which requires quite some time to produce impact dispersion area. Herein, we check the possibility of applying JU(Julier Uhlmann) transformation and Taguchi method instead of Monte-Carlo method and we propose a best method in terms of compuational time to produce impact dispersion area by comparing the results of the three methods.

Evaluation of Failure Probability for Planar Failure Using Point Estimate Method (점추정법을 이용한 평면파괴의 파괴확률 신정)

  • Park, Hyuck-Jin
    • Tunnel and Underground Space
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    • v.12 no.3
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    • pp.189-197
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    • 2002
  • In recent years, the probabilistic analysis has been used in rock slope engineering. This is because uncertainty is pervasive in rock slope engineering and most geometric and geotechnical parameters of discontinuity and rock masses are involved with uncertainty. Whilst the traditional deterministic analysis method fails to properly deal with uncertainty, the probabilistic analysis has advantages quantifying the uncertainty in parameters. As a probabilistic analysis method, the Monte Carlo simulation has been used commonly. However, the Monte Carlo simulation requires many repeated calculations and therefore, needs much effort and time to calculate the probability of failure. In contrast, the point estimate method involves a simple calculation with moments for random variables. In this study the probability of failure in rock slope is evaluated by the point estimate method and the results are compared to the probability of failure obtained by Monte Carlo simulation method.

The Temperature- and Field-dependent Impact ionization Coefficient for Silicon using Monte Carlo Simulation (Monte Carlo 시뮬레이션을 이용한 Si 임팩트이온화계수의 온도 및 전계 특성)

  • 유창관;고석웅;김재홍;정학기;이종인
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2000.05a
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    • pp.451-454
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    • 2000
  • The impact ionization(I.I.) is necessary to analyze carrier transport properties under the influence of high electric field. The full band I-k relation and Fermi's golden rule are used for the calculation of impact ionization rate. We have investigated the temperature- and field-dependent impact ionization coefficient for silicon using full band Monte Carlo simulation. The impact ionization coefficients calculated by our impact ionization model are agreed with experimental data at look. We know that impact ionization coefficients and electron energies are decreasing along increasing temperature due to increase of phonon scattering, especially by emission. The logarithm of impact ionization coefficients are fitted to linear function for temperature and field. The residuals of linear function are within the error bound of 5%. We know logarithmic impact ionization coefficients are linearly dependent on temperature and field.

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Monte Carlo Simulation for absorbed dose in PMMA phantom during the low-energy X-ray irradiation (저 에너지 X선 조사 시 PMMA 팬텀 내의 흡수선량 평가를 위한 몬테카를로 시뮬레이션)

  • Kim, Sang-Tae;Kang, Sang-Koo;Kim, Chong-Yeal
    • Journal of the Korean Society of Radiology
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    • v.5 no.6
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    • pp.383-389
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    • 2011
  • This study offered a new method to calculate absorbed dose of actual patients through Monte Carlo Simulation by using the linkage of Geant4 and DICOM, and, the experimental value of absorbed dose at the center and Geant 4 simulation result according to the depth of PMMA mock phantom were compared by using MOSEF in order to verify Geant4 calculation code. In the area where there was no air space between the irregular gap due to incomplete compression of PMMA slab, the differences were $0.46{\pm}4.69$ percent and $-0.75{\pm}5.19$percent in $15{\times}15cm^2$ and $20{\times}20cm^2$ respectively. Excluding the error due to incomplete compression of PMMA mock phantom, the calculation values of the Monte Carlo simulation by linkage of Geant4 and DICOM was the same.

Simulation of Beta Ray Spectra in Liquid Scintillation Counting System by means of Monte Carlo Method (Monte Carlo 계산에 의한 액체섬광계수기의 베타선 스펙트럼 Simulation)

  • Yi, Chul-Young;Jun, Jae-Shik
    • Journal of Radiation Protection and Research
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    • v.18 no.2
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    • pp.17-25
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    • 1993
  • Beta ray spectra of $^3H,\;^{14}C\;and\;^{36}Cl$ in liquid scintillation counting system have been calculated using the Monte Carlo method by which physical behaviors of particle transport in medium were simulated. The calculations have been carried out on the basis of beta rays being slowing down according to the continuous slowing down approximation(CSDA) model. Beta rays generated in simulation geometry were traced until they lost their energy below 0.3keV that in known to be the detection limit in the liquid scintillation counter. Scintillator solution in which pure beta emitting radionuclides were dissolved uniformly was assumed to be bottled in the shape of right circular cylinder with 12.5mm in radius and 35mm in height. The comparison of the calculated and measured results showed satisfactory agreement between those two, with slight discrepancy due to self quenching in the case of lower energy of emitted beta particles in the solution.

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Numerical Integration-based Performance Analysis of Cross-eye Jamming Algorithm through Amplitude Ratio Perturbation (진폭비 섭동에 의한 cross-eye 재밍에 대한 수치적분 기반 성능분석)

  • Kim, Je-An;Choi, Yoon-Ju;Lee, Joon-Ho
    • Journal of the Korea Convergence Society
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    • v.12 no.12
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    • pp.59-64
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    • 2021
  • This paper deals with the performance analysis of the jamming effect of cross-eye when the difference between the real amplitude ratio and the nominal amplitude ratio due to mechanical defects is modeled as a random variable with a normal distribution. We propose how to evaluate mean square difference (MSD) obtained using a numerical integration-based approach. The MSD obtained by the proposed method is closer to non-approximated Monte-Carlo simulation-based MSD than the analytic MSD calculated using the first-order Taylor approximation and the second-order Taylor approximation. It is shown that, based on the numerical integration, the effect of amplitude ratio perturbation on the cross-eye jamming performance can be evaluated without going through the computationally intensive Monte-Carlo method.

Indirect discharge estimation using K-River and Monte Carlo simulation at the Confluence of the Seomjin River and Yocheon (K-River와 Monte Carlo Simulation을 이용한 섬진강 요천 합류부의 간접유량 산정)

  • Kang, Han Sol;Kim, Yeon Su;Noh, Joon Woo;Byeon, Ji-Seon;An, Hyun Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.113-113
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    • 2022
  • 기후 변화에 따른 집중호우의 증가로 유례없는 홍수가 발생하기도 한다. 홍수 대비를 위한 수리구조물 설계 및 홍수 예측을 위해서는 기초자료인 유량 자료가 중요하며, 이는 Rating-curve를이용하여 산정하는 것이 일반적이다. 하지만, 이를 기왕의 데이터가 부족한 지역과 적용수위 이상에 대해 적용하는 것에 한계가 있다. 2020년 8월 섬진강에 발생한 홍수는 홍수량의 추정이 어려울 뿐 아니라 기존의 Rating curve를 활용하여 홍수량을 추정하는데 한계가 있다. 섬진강 하천정비기본계획(2021)에 따르면 섬진강 남원(신덕리) 관측소는 100년 빈도 홍수량이 7,470m3/s인 반면, 선형 보간을 통한 Rating curve 외삽 결과 약 23,000m3/s로 많은 차이 나는 것을 확인할 수 있다. 따라서, 본 연구에서는 외삽의 불확실성과 직접 측량에 어려움이 있는 홍수기 유량 추정을 위해 수리학적 해석 방법을 이용한 간접유량 산정기법을 제시하였다. 수치해석모형을 이용하여 홍수사상을 재현하고, 이를 역으로 이용하여 관측 수위와 근접한 계산 결과를 보인 입력 자료로부터 대상 지역의 유량을 간접적으로 산정하였다. 상류단 유량자료의 생성을 위하여 Rating curve의 변수에 대하여 무작위 조합을 생성하였고, K-River(1차원 수리해석 모형)를 이용하여 MCS(Monte Carlo Simulation)를 수행하였다. 계산된 수위와 관측 수위간 수위 재현성 평가(NSE, RSR)를 통해 최적 결과를 나타낸 Rating Curve의 변수들로부터 경계조건의 Rating Curve를 산정하였다. 방법론의 검증을 위해 요천 합류부에 적용하였으며, 그 결과 기존 곡선식의 외삽에 따른 유량 자료의 수위 재현성과 비교하여 개선된 것을 확인하였다. 이를 활용하여 수자원 유량 자료의 신뢰도 개선에 활용이 가능할 것으로 판단된다.

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