Implicit Monte Carlo Methods And Non Equilibrium Marshak Wave Radiative Transport
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Implicit Monte Carlo Methods And Non Equilibrium Marshak Wave Radiative Transport
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Author :
language : en
Publisher:
Release Date : 1985
Implicit Monte Carlo Methods And Non Equilibrium Marshak Wave Radiative 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 1985 with categories.
Two enhancements to the Fleck implicit Monte Carlo method for radiative transport are described, for use in transparent and opaque media respectively. The first introduces a spectral mean cross section, which applies to pseudoscattering in transparent regions with a high frequency incident spectrum. The second provides a simple Monte Carlo random walk method for opaque regions, without the need for a supplementary diffusion equation formulation. A time-dependent transport Marshak wave problem of radiative transfer, in which a non-equilibrium condition exists between the radiation and material energy fields, is then solved. These results are compared to published benchmark solutions and to new discrete ordinate S-N results, for both spatially integrated radiation-material energies versus time and to new spatially dependent temperature profiles. Multigroup opacities, which are independent of both temperature and frequency, are used in addition to a material specific heat which is proportional to the cube of the temperature. 7 refs., 4 figs.
Monte Carlo Methods And Applications In Neutronics Photonics And Statistical Physics
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Author : Raymond Alcouffe
language : en
Publisher:
Release Date : 1985
Monte Carlo Methods And Applications In Neutronics Photonics And Statistical Physics written by Raymond Alcouffe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Science categories.
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.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1985
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 1985 with Aeronautics categories.
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.
An Extension Of Implicit Monte Carlo Diffusion
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Author :
language : en
Publisher:
Release Date : 2010
An Extension Of Implicit Monte Carlo Diffusion written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Implicit Monte Carlo (IMC) and Implicit Monte Carlo Diffusion (IMD) are approaches to the numerical solution of the equations of radiative transfer. IMD was previously derived and numerically tested on grey, or frequency-integrated problems. In this research, we extend Implicit Monte Carlo Diffusion (IMD) to account for frequency dependence, and we implement the difference formulation as a source manipulation variance reduction technique. We derive the relevant probability distributions and present the frequency dependent IMD algorithm, with and without the difference formulation. The IMD code with and without the difference formulation was tested using both grey and frequency dependent benchmark problems. The Su and Olson semi-analytic Marshak wave benchmark was used to demonstrate the validity of the code for grey problems. The Su and Olson semi-analytic picket fence benchmark was used for the frequency dependent problems. The frequency dependent IMD algorithm reproduces the results of both Su and Olson benchmark problems. Frequency group refinement studies indicate that the computational cost of refining the group structure is likely less than that of group refinement in deterministic solutions of the radiation diffusion methods. Our results show that applying the difference formulation to the IMD algorithm can result in an overall increase in the figure of merit for frequency dependent problems. However, the creation of negatively weighted particles from the difference formulation can cause significant numerical instabilities in regions of the problem with sharp spatial gradients in the solution. An adaptive implementation of the difference formulation may be necessary to focus its use in regions that are at or near thermal equilibrium.
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.
Methods In Monte Carlo Solution Of The Radiation Transport Equation
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Author : Malvin H. Kalos
language : en
Publisher:
Release Date : 1962
Methods In Monte Carlo Solution Of The Radiation Transport Equation written by Malvin H. Kalos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Monte Carlo method categories.
A discussion is given of certain methods of importance sampling and scoring in the Monte Carlo solution of the radiation transport equation.
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1985
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 1985 with Power resources categories.
Publications Of Los Alamos Research
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Author : Los Alamos National Laboratory
language : en
Publisher:
Release Date : 1985
Publications Of Los Alamos Research written by Los Alamos National Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Research categories.