• 제목/요약/키워드: Monte-Carlo simulation

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A methodology for uncertainty quantification and sensitivity analysis for responses subject to Monte Carlo uncertainty with application to fuel plate characteristics in the ATRC

  • Price, Dean;Maile, Andrew;Peterson-Droogh, Joshua;Blight, Derreck
    • Nuclear Engineering and Technology
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    • 제54권3호
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    • pp.790-802
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    • 2022
  • Large-scale reactor simulation often requires the use of Monte Carlo calculation techniques to estimate important reactor parameters. One drawback of these Monte Carlo calculation techniques is they inevitably result in some uncertainty in calculated quantities. The present study includes parametric uncertainty quantification (UQ) and sensitivity analysis (SA) on the Advanced Test Reactor Critical (ATRC) facility housed at Idaho National Laboratory (INL) and addresses some complications due to Monte Carlo uncertainty when performing these analyses. This approach for UQ/SA includes consideration of Monte Carlo code uncertainty in computed sensitivities, consideration of uncertainty from directly measured parameters and a comparison of results obtained from brute-force Monte Carlo UQ versus UQ obtained from a surrogate model. These methodologies are applied to the uncertainty and sensitivity of keff for two sets of uncertain parameters involving fuel plate geometry and fuel plate composition. Results indicate that the less computationally-expensive method for uncertainty quantification involving a linear surrogate model provides accurate estimations for keff uncertainty and the Monte Carlo uncertainty in calculated keff values can have a large effect on computed linear model parameters for parameters with low influence on keff.

Monte Carlo Simulation Based Digitally Reconstructed Radiographs

  • Kakinohana, Yasumasa;Ogawa, Kazuhiko;Toita, Takafumi;Murayama, Sadayuki
    • 한국의학물리학회:학술대회논문집
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    • 한국의학물리학회 2002년도 Proceedings
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    • pp.436-438
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    • 2002
  • As the use of virtual simulation expands, digitally reconstructed radiographs (DRRs), which mimic conventional simulation films, play an increasingly important role as reference images in the verification of treatment fields. The purpose of our study is to develop an algorithm for computation of digitally reconstructed radiographs based on Monte Carlo simulation that take into account almost all possible physical processes by which photons interact with matter. The Monte Carlo simulation based DRRs have the following features. 1) Account has been taken of almost all possible physical processes of interaction of photons with matter, including a detector (film) response. In principle, this is equivalent to X-ray radiography. 2) Arbitrary photon energies (from diagnostic to therapeutic) can be used to produce DRRs. One can even use electrons as the source. 3) It is easy to produce a double exposure, which mimics the double exposure portal image and may have superior visual appeal for treatment field verification, with weighting within the treatment field.

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시뮬레이션에 의한 CH4 기체의 전리 및 확산계수 (Ionization and Diffusion Coefficients in CH4 Gas by Simulation)

  • 김상남
    • 전기학회논문지P
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    • 제63권4호
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    • pp.317-321
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    • 2014
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We must grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. Using quantitative simulations of weakly ionized plasma, we can analyze gas characteristic. In this paper, the electron Ionization and diffusion Coefficients in $CH_4$ has been analysed over the E/N range 0.1~300[Td], at the 300[$^{\circ}K$] by the two term approximation Boltzmann equation method and Monte Carlo Simulation. Boltzmann equation method has also been used to predict swarm parameter using the same cross sections as input. The behavior of electron has been calculated to give swarm parameter for the electron energy distribution function has been analysed in $CH_4$ at E/N=10, 100 for a case of the equilibrium region in the mean energy. A set of electron collision cross section has been assembled and used in Monte Carlo simulation to predict values of swarm parameters. The result of Boltzmann equation and Monte Carlo Simulation has been compared with experimental data by Ohmori, Lucas and Carter. The swarm parameter from the swarm study are expected to sever as a critical test of current theories of low energy scattering by atoms and molecules.

$CF_4-Ar$ 혼합기체의 전자수송계수에 관한 연구 (Study on the Electron Transport Coefficient in Mixtures of $CF_4$ and Ar)

  • 김상남
    • 전기학회논문지P
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    • 제56권1호
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    • pp.1-5
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    • 2007
  • Study on the electron transport coefficient in mixtures of CF4 and Ar, have been analyzed over a range of the reduced electric field strength between 0.1 and 350[Td] by the two-term approximation of the Boltzmann equation (BEq.) method and the Monte Carlo simulation (MCS). The calculations of electron swarm parameters require the knowledge of several collision cross-sections of electron beam. Thus, published momentum transfer, ionization, vibration, attachment, electronic excitation, and dissociation cross-sections of electrons for $CF_4$ and Ar, were used. The differences of the transport coefficients of electrons in $CF_4$ mixtures of Ar, have been explained by the deduced energy distribution functions for electrons and the complete collision cross-sections for electrons. The results of the Boltzmann equation and the Monte Carlo simulation have been compared with the data presented by several workers. The deduced transport coefficients for electrons agree reasonably well with the experimental and simulation data obtained by Nakamura and Hayashi. The energy distribution function of electrons in $CF_4-Ar$ mixtures shows the Maxwellian distribution for energy. That is, $f({\varepsilon})$ has the symmetrical shape whose axis of symmetry is a most probably energy. The proposed theoretical simulation techniques in this work will be useful to predict the fundamental process of charged particles and the breakdown properties of gas mixtures. A two-term approximation of the Boltzmann equation analysis and Monte Carlo simulation have been used to study electron transport coefficients.

Application of Monte Carlo Simulation to Intercalation Electrochemistry I. Thermodynamic Approach to Lithium Intercalation into LiMn2O4 Electrode

  • Kim, Sung-Woo;Pyun, Su-Il
    • 전기화학회지
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    • 제5권2호
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    • pp.79-85
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    • 2002
  • 열역학적 관점에서 몬테 카를로 방법의 전기화학적 리튬 인터칼레이션에로의 응용에 대하여 다루었다. 우선 통계 열역학의 앙상블, Ising 및 lattice gas 모델의 기본 개념을 간단히 소개하였고, lattice gas 모델에 근거한 몬테카를로 방법을 사용하여 전이금속 산화물내로의 리튬 인터칼레이션의 열역학을 해석하였다. 특히 $LiMn_2O_4$전극에 대해 전극 포텐셜 곡선과 리튬 이온의 부분 몰 내부에너지와 엔트로피와 같은 열역학적 특성을 다루었고, 이로부터 리튬 인터칼레이션의 전기화학분야에서 몬테 카를로 방법의 유용성을 확인하였다

Application of Monte Carlo Simulation to Intercalation Electrochemistry II. Kinetic Approach to Lithium Intercalation into LiMn2O4 Electrode

  • Kim, Sung-Woo;Pyun, Su-Il
    • 전기화학회지
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    • 제5권2호
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    • pp.86-92
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    • 2002
  • 속도론적 관점에서 키네틱 몬테 카를로 방법의 전기화학적 리튬 인터칼레이션에로의 응용에 대하여 다루었다. 우선 키네틱 몬테 카를로 방법과 전이상태이론의 기본 개념을 소개하였고, 확산거동을 평가하기 위한 시뮬레이션 과정을 설명하였다. 마지막으로 인터칼레이션 화합물중 $LiMn_2O_4$전극에 대해 전류 추이곡선과 선형 포텐셜 전류곡선을 해석하기 위해서 전이상태이론에 근거한 키네틱 몬테 카를로 방법을 셀-저항 제어조건하에서 사용하였다. 이로부터 키네틱 몬테 카를로 방법이 전기화학분야에서 리튬 인터칼레이션의 속도론적 연구에 매우 유용함을 알 수 있었다.

3차원 몬테 카를로 이온 주입 공정 모델링 및 시뮬레이션: 효율적인 가상 궤적 발생 알고리듬 (Three-dimensional monte carlo modeling and simulation of ion implantation process: an efficient virtual trajectory split approach)

  • 손명식;황호정
    • 전자공학회논문지D
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    • 제35D권3호
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    • pp.28-38
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    • 1998
  • In our paper is reported a new 3D(dimensional) trajectory split approach with greatly improved efficiency for the Monte Carlo simulation of the 3D profiles of implanted ionand point defect concentrations in single-crystal silicon. This approach has been successfully implemented in our TRICSI Monte Carlo code. Combined with the previously developed model for damage accumalation in our TRICSI code, this model allows phasically based dynamic simulation of 3D profiles over an subsequent process simulation such as diffusion modeling and simulation. A typical time saving of over 10 timeshas been achieved for 3D simulation. Our method ensures much better region aground the implanted area. For 1-D simulation, the optimized condition for trajectory split has set to 3,000 pseudoparticles with 2 split branches.

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A Monte Carlo Simulation Incorporated with Genetic Algorithm for the Transition Deposition of LB Film of Fatty Acid

  • 최정우;조경상;이원홍;이상백;이한섭
    • Bulletin of the Korean Chemical Society
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    • 제19권5호
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    • pp.544-548
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    • 1998
  • A Monte Carlo simulation incorporated with the genetic algorithm is presented to describe the defect known as "transition from Y-to X-type deposition" of the cadmium arachidate Langmuir-Blodgett multilayer film. Simulation is performed based on the detachment models of XY-type deposition. The transition is simulated by introducing a probability of surface molecule detachment considering interaction between neighboring molecules. The genetic algorithm is incorporated into Monte Carlo simulation to get the optimum value of the probability factors. The distribution of layers having different thickness predicted by the simulation correlates well with the measured distribution of thickness using the small-angle X-ray reflectivity. The effect of chain length and subphase temperature on the detachment probability are investigated using the simulation. Simulation results show that an increase (or a decrease) of two hydrocarbon chain is roughly equivalent to the detachment probability to a temperature decrease (or increase) of 15 K.

불규칙 가진을 받는 탄성진자의 응답 해석 (Response of an Elastic Pendulum under Random Excitations)

  • 이신영
    • 한국공작기계학회논문집
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    • 제18권2호
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    • pp.187-193
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    • 2009
  • Dynamic response of an elastic pendulum system under random excitations was studied by using the Lagrangian equations of motion which uses the kinetic and potential energy of a target system. The responses of random excitations were calculated by using Monte Carl simulation which uses the series of random numbers. The procedure of Monte Carlo simulation is generation of random numbers, system model, system output, and statistical management of output. When the levels of random excitations were changed, the expected responses of the pendulum system showed various responses.

MCS-BEq에 의한 CH4기체에서 전자에너지 분포함수 (Electron Energy Distribution function in CH4 by MCS-BEq)

  • 김상남
    • 전기학회논문지P
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    • 제62권1호
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    • pp.18-22
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    • 2013
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We must grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. Using quantitative simulations of weakly ionized plasma, we can analyze gas characteristic. In this paper, the electron transport characteristic in $CH_4$ has been analysed over the E/N range 0.1~300[Td], at the 300[$_{\circ}\;K$] by the two term approximation Boltzmann equation method and Monte Carlo Simulation. Boltzmann equation method has also been used to predict swarm parameter using the same cross sections as input. The behavior of electron has been calculated to give swarm parameter for the electron energy distribution function has been analysed in $CH_4$ at E/N=10, 100 for a case of the equilibrium region in the mean energy. A set of electron collision cross section has been assembled and used in Monte Carlo simulation to predict values of swarm parameters. The result of Boltzmann equation and Monte Carlo Simulation has been compared with experimental data by Ohmori, Lucas and Carter. The swarm parameter from the swarm study are expected to sever as a critical test of current theories of low energy scattering by atoms and molecules.