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Implict Monte Carlo Radiation Transport Simulations Of Four Test Problems


Implict Monte Carlo Radiation Transport Simulations Of Four Test Problems
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Implict Monte Carlo Radiation Transport Simulations Of Four Test Problems


Implict Monte Carlo Radiation Transport Simulations Of Four Test Problems
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Author :
language : en
Publisher:
Release Date : 2007

Implict Monte Carlo Radiation Transport Simulations Of Four Test Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.


Radiation transport codes, like almost all codes, are difficult to develop and debug. It is helpful to have small, easy to run test problems with known answers to use in development and debugging. It is also prudent to re-run test problems periodically during development to ensure that previous code capabilities have not been lost. We describe four radiation transport test problems with analytic or approximate analytic answers. These test problems are suitable for use in debugging and testing radiation transport codes. We also give results of simulations of these test problems performed with an Implicit Monte Carlo photonics code.



Computational Methods In Transport Verification And Validation


Computational Methods In Transport Verification And Validation
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Author : Frank Graziani
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-09

Computational Methods In Transport Verification And Validation written by Frank Graziani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-09 with Science categories.


The focus of this book deals with a cross cutting issue affecting all transport disciplines, whether it be photon, neutron, charged particle or neutrino transport. That is, verification and validation. In this book, we learn what the astrophysicist, atmospheric scientist, mathematician or nuclear engineer do to assess the accuracy of their code. What convergence studies, what error analysis, what problems do each field use to ascertain the accuracy of their transport simulations.



A Monte Carlo Primer


A Monte Carlo Primer
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Author : Stephen A. Dupree
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-07

A Monte Carlo Primer written by Stephen A. Dupree and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-07 with Science categories.


The mathematical technique of Monte Carlo, as applied to the transport of sub-atomic particles, has been described in numerous reports and books since its formal development in the 1940s. Most of these instructional efforts have been directed either at the mathematical basis of the technique or at its practical application as embodied in the several large, formal computer codes available for performing Monte Carlo transport calculations. This book attempts to fill what appears to be a gap in this Monte Carlo literature between the mathematics and the software. Thus, while the mathematical basis for Monte Carlo transport is covered in some detail, emphasis is placed on the application of the technique to the solution of practical radiation transport problems. This is done by using the PC as the basic teaching tool. This book assumes the reader has a knowledge of integral calculus, neutron transport theory, and Fortran programming. It also assumes the reader has available a PC with a Fortran compiler. Any PC of reasonable size should be adequate to reproduce the examples or solve the exercises contained herein. The authors believe it is important for the reader to execute these examples and exercises, and by doing so to become accomplished at preparing appropriate software for solving radiation transport problems using Monte Carlo. The step from the software described in this book to the use of production Monte Carlo codes should be straightforward.



Advanced Monte Carlo For Radiation Physics Particle Transport Simulation And Applications


Advanced Monte Carlo For Radiation Physics Particle Transport Simulation And Applications
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Author : Andreas Kling
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-22

Advanced Monte Carlo For Radiation Physics Particle Transport Simulation And Applications written by Andreas Kling and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-22 with Science categories.


This book focuses on the state of the art of Monte Carlo methods in radiation physics and particle transport simulation and applications. Special attention is paid to algorithm development for modeling, and the analysis of experiments and measurements in a variety of fields.



A Modified Treatment Of Sources In Implicit Monte Carlo Radiation Transport


A Modified Treatment Of Sources In Implicit Monte Carlo Radiation Transport
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Author :
language : en
Publisher:
Release Date : 2011

A Modified Treatment Of Sources In Implicit Monte Carlo Radiation Transport 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.


We describe a modification of the treatment of photon sources in the IMC algorithm. We describe this modified algorithm in the context of thermal emission in an infinite medium test problem at equilibrium and show that it completely eliminates statistical noise.



Comparison Of Monte Carlo Methods For Nonlinear Radiation Transport


Comparison Of Monte Carlo Methods For Nonlinear Radiation Transport
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Author :
language : en
Publisher:
Release Date : 2001

Comparison Of Monte Carlo Methods For Nonlinear Radiation Transport written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.


Five Monte Carlo methods for solving the nonlinear thermal radiation transport equations are compared. The methods include the well-known Implicit Monte Carlo method (IMC) developed by Fleck and Cummings, an alternative to IMC developed by Carter and Forest, an ''exact'' method recently developed by Ahrens and Larsen, and two methods recently proposed by Martin and Brown. The five Monte Carlo methods are developed and applied to the radiation transport equation in a medium assuming local thermodynamic equilibrium. Conservation of energy is derived and used to define appropriate material energy update equations for each of the methods. Details of the Monte Carlo implementation are presented, both for the random walk simulation and the material energy update. Simulation results for all five methods are obtained for two infinite medium test problems and a 1-D test problem, all of which have analytical solutions. Conclusions regarding the relative merits of the various schemes are presented.



Scoring Methods For Implicit Monte Carlo Radiation Transport


Scoring Methods For Implicit Monte Carlo Radiation Transport
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Author :
language : en
Publisher:
Release Date : 1981

Scoring Methods For Implicit Monte Carlo Radiation Transport written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.


Analytical and numerical tests were made of a number of possible methods for scoring the energy exchange between radiation and matter in the implicit Monte Carlo (IMC) radiation transport scheme of Fleck and Cummings. The interactions considered were effective absorption, elastic scattering, and Compton scattering. The scoring methods tested were limited to simple combinations of analogue, linear expected value, and exponential expected value scoring. Only two scoring methods were found that produced the same results as a pure analogue method. These are a combination of exponential expected value absorption and deposition and analogue Compton scattering of the particle, with either linear expected value Compton deposition or analogue Compton deposition. In both methods, the collision distance is based on the total scattering cross section.



Monte Carlo Particle Transport Methods


Monte Carlo Particle Transport Methods
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Author : I. Lux
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Monte Carlo Particle Transport Methods written by I. Lux and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Science categories.


With this book we try to reach several more-or-less unattainable goals namely: To compromise in a single book all the most important achievements of Monte Carlo calculations for solving neutron and photon transport problems. To present a book which discusses the same topics in the three levels known from the literature and gives us useful information for both beginners and experienced readers. It lists both well-established old techniques and also newest findings.



Monte Carlo Method For Solving Inverse Problems Of Radiation Transfer


Monte Carlo Method For Solving Inverse Problems Of Radiation Transfer
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Author : V. S. Antyufeev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24

Monte Carlo Method For Solving Inverse Problems Of Radiation Transfer written by V. S. Antyufeev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.


The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.



Monte Carlo Methods For Particle Transport


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