Analytic Treatment Of Source Photon Emission Times To Reduce Noise In Implicit Monte Carlo Calculations
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Analytic Treatment Of Source Photon Emission Times To Reduce Noise In Implicit Monte Carlo Calculations
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Author :
language : en
Publisher:
Release Date : 2012
Analytic Treatment Of Source Photon Emission Times To Reduce Noise In Implicit Monte Carlo Calculations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Statistical uncertainty is inherent to any Monte Carlo simulation of radiation transport problems. In space-angle-frequency independent radiative transfer calculations, the uncertainty in the solution is entirely due to random sampling of source photon emission times. We have developed a modification to the Implicit Monte Carlo algorithm that eliminates noise due to sampling of the emission time of source photons. In problems that are independent of space, angle, and energy, the new algorithm generates a smooth solution, while a standard implicit Monte Carlo solution is noisy. For space- and angle-dependent problems, the new algorithm exhibits reduced noise relative to standard implicit Monte Carlo in some cases, and comparable noise in all other cases. In conclusion, the improvements are limited to short time scales; over long time scales, noise due to random sampling of spatial and angular variables tends to dominate the noise reduction from the new algorithm.
An Analytic Treatment Of Source Photon Emission Times To Reduce Noise In Implicit Monte Carlo Calculations
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Author :
language : en
Publisher:
Release Date : 2011
An Analytic Treatment Of Source Photon Emission Times To Reduce Noise In Implicit Monte Carlo Calculations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Time Step Limits For A Monte Carlo Compton Scattering Method
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Author :
language : en
Publisher:
Release Date : 2008
Time Step Limits For A Monte Carlo Compton Scattering Method written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Compton scattering is an important aspect of radiative transfer in high energy density applications. In this process, the frequency and direction of a photon are altered by colliding with a free electron. The change in frequency of a scattered photon results in an energy exchange between the photon and target electron and energy coupling between radiation and matter. Canfield, Howard, and Liang have presented a Monte Carlo method for simulating Compton scattering that models the photon-electron collision kinematics exactly. However, implementing their technique in multiphysics problems that include the effects of radiation-matter energy coupling typically requires evaluating the material temperature at its beginning-of-time-step value. This explicit evaluation can lead to unstable and oscillatory solutions. In this paper, we perform a stability analysis of this Monte Carlo method and present time-step limits that avoid instabilities and nonphysical oscillations by considering a spatially independent, purely scattering radiative-transfer problem. Examining a simplified problem is justified because it isolates the effects of Compton scattering, and existing Monte Carlo techniques can robustly model other physics (such as absorption, emission, sources, and photon streaming). Our analysis begins by simplifying the equations that are solved via Monte Carlo within each time step using the Fokker-Planck approximation. Next, we linearize these approximate equations about an equilibrium solution such that the resulting linearized equations describe perturbations about this equilibrium. We then solve these linearized equations over a time step and determine the corresponding eigenvalues, quantities that can predict the behavior of solutions generated by a Monte Carlo simulation as a function of time-step size and other physical parameters. With these results, we develop our time-step limits. This approach is similar to our recent investigation of time discretizations for the Compton-scattering Fokker-Planck equation.
The Equations Of Radiation Hydrodynamics
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Author : Gerald C. Pomraning
language : en
Publisher: Courier Corporation
Release Date : 2005-01-01
The Equations Of Radiation Hydrodynamics written by Gerald C. Pomraning and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Science categories.
Graduate-level text examines propagation of thermal radiation through a fluid and its effects on the hydrodynamics of fluid motion. Topics include approximate formulations of radiative transfer and relativistic effects of fluid motion; microscopic physics associated with the equation of transfer; inverse Compton scattering; and hydrodynamic description of fluid. 1973 edition.
Radiation Hydrodynamics
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Author : John I. Castor
language : en
Publisher: Cambridge University Press
Release Date : 2004-09-23
Radiation Hydrodynamics written by John I. Castor and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-23 with Science categories.
Publisher Description
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1979
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Power resources categories.
Monte Carlo Methods For Particle Transport
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Author : Alireza Haghighat
language : en
Publisher: CRC Press
Release Date : 2020-08-09
Monte Carlo Methods For Particle Transport written by Alireza Haghighat and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-09 with Mathematics categories.
Fully updated with the latest developments in the eigenvalue Monte Carlo calculations and automatic variance reduction techniques and containing an entirely new chapter on fission matrix and alternative hybrid techniques. This second edition explores the uses of the Monte Carlo method for real-world applications, explaining its concepts and limitations. Featuring illustrative examples, mathematical derivations, computer algorithms, and homework problems, it is an ideal textbook and practical guide for nuclear engineers and scientists looking into the applications of the Monte Carlo method, in addition to students in physics and engineering, and those engaged in the advancement of the Monte Carlo methods. Describes general and particle-transport-specific automated variance reduction techniques Presents Monte Carlo particle transport eigenvalue issues and methodologies to address these issues Presents detailed derivation of existing and advanced formulations and algorithms with real-world examples from the author’s research activities
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.
Theory Application And Implementation Of Monte Carlo Method In Science And Technology
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Author : Pooneh Saidi Bidokhti
language : en
Publisher: BoD – Books on Demand
Release Date : 2019-12-18
Theory Application And Implementation Of Monte Carlo Method In Science And Technology written by Pooneh Saidi Bidokhti and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-18 with Computers categories.
The Monte Carlo method is a numerical technique to model the probability of all possible outcomes in a process that cannot easily be predicted due to the interference of random variables. It is a technique used to understand the impact of risk, uncertainty, and ambiguity in forecasting models. However, this technique is complicated by the amount of computer time required to achieve sufficient precision in the simulations and evaluate their accuracy. This book discusses the general principles of the Monte Carlo method with an emphasis on techniques to decrease simulation time and increase accuracy.
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1979
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Power resources categories.
Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.