Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 13
Book Description
Spherical Harmonics (PN) Methods in the Sceptre Radiation Transport Code
Author: Spherical Harmonics Based Techniques for Solution of the Radiative Transfer Equation
Author: Mahesh RavishankarPublisher:
ISBN:
Category : Spherical harmonics
Languages : en
Pages : 127
Book Description
Abstract: The radiative transport equation(RTE) is a multi-dimensional integro-differential equation, which is very difficult to solve even in one-dimensional cases due to its directional nature. As a result approximate methods need to be used. The two most popular methods are the discrete ordinates (or SN) method and its variants, and the spherical harmonic (or PN) method. Unfortunately neither of those methods are accurate over a large range of optical thickness. For example, the SN method is inaccurate for optically thick situation, whereas the PN approximation is inaccurate for optically thin situations, especially for cases when a cold medium is bounded by hot walls. This thesis focusses on the spherical harmonics method, and different approaches for improving accuracy were investigated.
Spherical Harmonics Solutions to Second Order Forms of the Boltzmann Transport Equation Using Particle Transport Code Sceptre
Author: Andrew Scott BielenPublisher:
ISBN:
Category : Transport theory
Languages : en
Pages :
Book Description
Application of the Double Spherical Harmonics Method to the One-dimensional Radiation-transfer Equation
Author: Leo G. Le SagePublisher:
ISBN:
Category : Radiative transfer
Languages : en
Pages : 36
Book Description
Adaptive Tree Multigrids and Simplified Spherical Harmonics Approximation in Deterministic Neutral and Charged Particle Transport
Author: Petri KotiluotoPublisher:
ISBN: 9789513870164
Category : Neutrons
Languages : en
Pages : 106
Book Description
A new deterministic three-dimensional neutral and charged particle transport code, MultiTrans, has been developed. In the novel approach, the adaptive tree multigrid technique is used in conjunction with simplified spherical harmonics approximation of the Boltzmann transport equation. The development of the new radiation transport code started in the framework of the Finnish boron neutron capture therapy (BNCT) project. Since the application of the MultiTrans code to BNCT dose planning problems, the testing and development of the MultiTrans code has continued in conventional radiotherapy and reactor physics applications. In this thesis, an overview of different numerical radiation transport methods is first given. Special features of the simplified spherical harmonics method and the adaptive tree multigrid technique are then reviewed. The usefulness of the new MultiTrans code has been indicated by verifying and validating the code performance for different types of neutral and charged particle transport problems, reported in separate publications.
Filtered Spherical Harmonics Methods for Transport Problems
Author: The Spherical Harmonic Method in the Transport Problem
Author: John F. EvansPublisher:
ISBN:
Category : Solar radiation
Languages : en
Pages : 132
Book Description
Standard Handbook for Mechanical Engineers
Author: Publisher:
ISBN:
Category : Mechanical engineering
Languages : en
Pages : 1874
Book Description
Theoretical Numerical Analysis
Author: Kendall AtkinsonPublisher: Springer Science & Business Media
ISBN: 0387215263
Category : Mathematics
Languages : en
Pages : 466
Book Description
This book gives an introduction to functional analysis in a way that is tailored to fit the needs of the researcher or student. The book explains the basic results of functional analysis as well as relevant topics in numerical analysis. Applications of functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. The material is especially useful for researchers and students who wish to work in theoretical numerical analysis and seek a background in the "tools of the trade" covered in this book.
Analytical Chemistry for Cultural Heritage
Author: Rocco MazzeoPublisher: Springer
ISBN: 3319528041
Category : Science
Languages : en
Pages : 370
Book Description
The series Topics in Current Chemistry Collections presents critical reviews from the journal Topics in Current Chemistry organized in topical volumes. The scope of coverage is all areas of chemical science including the interfaces with related disciplines such as biology, medicine and materials science. The goal of each thematic volume is to give the non-specialist reader, whether in academia or industry, a comprehensive insight into an area where new research is emerging which is of interest to a larger scientific audience.Each review within the volume critically surveys one aspect of that topic and places it within the context of the volume as a whole. The most significant developments of the last 5 to 10 years are presented using selected examples to illustrate the principles discussed. The coverage is not intended to be an exhaustive summary of the field or include large quantities of data, but should rather be conceptual, concentrating on the methodological thinking that will allow the non-specialist reader to understand the information presented. Contributions also offer an outlook on potential future developments in the field.