Download or read book Numerical Solution Methods for Radiative Transfer in Semitransparent Media written by Frank Zingsheim and published by . This book was released on 1999 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radiative Heat Transfer written by Michael F. Modest and published by Academic Press. This book was released on 2003-03-07 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic physics of radiative heat - how surfaces emit, reflect, and absorb waves, and how that heat is distributed.
Download or read book Radiative Transfer Modeling written by Weixue Tian and published by . This book was released on 2005 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radiative Heat Transfer written by Michael F. Modest and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a comprehensive treatment of heat transfer. In addition to the standard topics usually covered, it also includes a number of modern state-of-the-art topics including: radiative properties of particles, generation of P-N approximation and collimated irradiation.
Download or read book Radiative Transfer in Moving Media written by K.K. Sen and published by Springer. This book was released on 1998-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of observational techniques has led to the discovery of a large number of stars exhibiting complex spectral structures. This necessitates the search for new methods to study the radiative transfer in such stars. This book presents mathematical methodologies developed for solving radiation transfer problems in moving media and stellar atmospheres.
Download or read book Radiative Transfer in Curved Media written by K. K. Sen and published by World Scientific. This book was released on 1990 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the methods described in this book can be used with cosmetic modifications to solve transfer problems of greater complexity. All attempts have been made to make the book self-contained.
Download or read book Radiative Transfer written by Hélène Frisch and published by Springer Nature. This book was released on 2022-05-26 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses analytic and asymptotic methods relevant to radiative transfer in dilute media, such as stellar and planetary atmospheres. Several methods, providing exact expressions for the radiation field in a semi-infinite atmosphere, are described in detail and applied to unpolarized and polarized continuous spectra and spectral lines. Among these methods, the Wiener–Hopf method, introduced in 1931 for a stellar atmospheric problem, is used today in fields such as solid mechanics, diffraction theory, or mathematical finance. Asymptotic analyses are carried out on unpolarized and polarized radiative transfer equations and on a discrete time random walk. Applicable when photons undergo a large number of scatterings, they provide criteria to distinguish between large-scale diffusive and non-diffusive behaviors, typical scales of variation of the radiation field, such as the thermalization length, and specific descriptions for regions close and far from boundaries. Its well organized synthetic view of exact and asymptotic methods of radiative transfer makes this book a valuable resource for both graduate students and professional scientists in astrophysics and beyond.
Download or read book Some Approximations to the Radiative Transfer Equation and Their Applications written by Qiwei Sheng and published by . This book was released on 2013 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiative transfer theory describes the interaction of radiation with scattering and absorbing media. It has applications in neutron transport, atmospheric physics, heat transfer, molecular imaging, and so on. In steady state, the radiative transfer equation is an integro-differential equation of five independent variables. This high dimensionality and presence of integral term present a serious challenge when one tries to solve the equation numerically. Over the past 50 years, several techniques for solving the radiative transfer equation have been introduced. One among them is to use approximations of RTE. Various approximations of RTE have been proposed in the literature. These include, but are certainly not limited to, the delta-Eddington approximation, the Fokker-Planck approximation, the Boltzmann-Fokker-Planck approximation, the generalized Fokker-Planck approximation, the Fokker-Planck-Eddington approximation and the generalized Fokker-Planck-Eddington approximation. The Fokker-Planck approximation and differential approximation have received particular attention in the literature due to their relatively high accuracy, relatively low computational cost, and flexibility to potential large scale parallel computing. In this thesis we present a well-posed result for the Fokker-Planck equation that may be used to approximate the radiative transfer equation in highly forward-peaked media. Then we study the differential approximation of radiative transfer (RT/DA) equations. Well-posedness of these approximations is studied. A convergent iteration method for the RT/DA equation is presented. Then we turn to a study of RT/DA based inverse problems. The inverse problems are ill-posed and regularization is needed in solving the inverse problems. We present an existence result for solutions of regularized formulations of the inverse problems. Finally examples are included to illustrate numerical results in solving the inverse problems.
Download or read book Numerical Radiative Transfer written by Wolfgang Kalkofen and published by Cambridge University Press. This book was released on 2009-07-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1988, this book is a manual of methods for solving problems in radiative transfer. Several of the methods, on operator perturbation as well as on polarised radiative transfer, appeared for the first time in this volume, and the sections dealing with these topics each include introductory articles. The methods described are principally directed at astrophysical plasmas, but the methods are easily adaptable to applications involving other media where self-absorption of the radiation is important. The book is primarily intended for graduate students and research workers in the field of radiative transfer.
Download or read book Linear Integral Equations written by Rainer Kress and published by Springer Science & Business Media. This book was released on 2013-12-04 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, 2000) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract." (ZbMath, 1999)
Download or read book Radiative Transfer on Discrete Spaces written by Rudolph W. Preisendorfer and published by Elsevier. This book was released on 2014-07-18 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pure and Applied Mathematics, Volume 74: Radiative Transfer on Discrete Spaces presents the geometrical structure of natural light fields. This book describes in detail with mathematical precision the radiometric interactions of light-scattering media in terms of a few well established principles. Organized into four parts encompassing 15 chapters, this volume begins with an overview of the derivations of the practical formulas and the arrangement of formulas leading to numerical solution procedures of radiative transfer problems in plane-parallel media. This text then constructs radiative transfer theory in three ways. Other chapters consider the development of discrete radiative transfer theory from the local interaction principle. This book discusses as well the development of continuous radiative transfer theory. The final chapter deals with the task of formulating a mathematical foundation for radiative transfer theory. This book is a valuable resource for researchers in the field of radiative transfer theory whose interests transcend the physical and numerical aspects of the interaction of light with matter.
Download or read book Thermal Radiation Heat Transfer Fourth Edition written by Robert Siegel and published by CRC Press. This book was released on 2001-12-07 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extensively revised 4th edition provides an up-to-date, comprehensive single source of information on the important subjects in engineering radiative heat transfer. It presents the subject in a progressive manner that is excellent for classroom use or self-study, and also provides an annotated reference to literature and research in the field. The foundations and methods for treating radiative heat transfer are developed in detail, and the methods are demonstrated and clarified by solving example problems. The examples are especially helpful for self-study. The treatment of spectral band properties of gases has been made current and the methods are described in detail and illustrated with examples. The combination of radiation with conduction and/or convection has been given more emphasis nad has been merged with results for radiation alone that serve as a limiting case; this increases practicality for energy transfer in translucent solids and fluids. A comprehensive catalog of configuration factors on the CD that is included with each book provides over 290 factors in algebraic or graphical form. Homework problems with answers are given in each chapter, and a detailed and carefully worked solution manual is available for instructors.
Download or read book Radiative Transfer Modeling written by Vladimir Budak and published by Springer. This book was released on 2014-02-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook is devoted to the description of the light field formation in turbid media, such as atmosphere and ocean. By the light field is understood the description of the electromagnetic field propagation (transfer) in the ray approximation. The basis of presentation is the physical theory of radiation transfer, which allows covering the whole range of issues relating to the transfer of polarized radiation in a turbid medium with a physical level of rigor: electrodynamics basis of photometric and the vectorial radiative transfer equation (VRTE), analysis of absorption and scattering of light in a medium, methods for solving VRTE for different geometries of a turbid medium and boundary conditions. The presentation peculiarity is bringing all the proposed solutions to the practical algorithms with their illustrations by concrete codes in the Matlab. All parts of codes are interconnected that allows showing the light fields calculation in real turbid media at the end of textbook.
Download or read book The Theory of Difference Schemes written by Alexander A. Samarskii and published by CRC Press. This book was released on 2001-03-29 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of approximate numerical methods and computer algorithms for solving mathematical physics problems. The book also develops mathematical models for obtaining desired solutions in minimal time using direct or iterative difference equations. Mathematical Reviews said it is "well-written [and] an excellent book, with a wealth of mathematical material and techniques."
Download or read book Modified Discrete Ordinates Solution of Radiative Transfer in Multidimensional Participating Media written by Mohan Ammanath Ramankutty and published by . This book was released on 1994 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The discrete ordinates method has evolved as a powerful tool in the analysis of radiative heat transfer in multidimensional geometries containing participating media. The discrete ordinates method does not make accurate predictions in situations involving isolated boundary sources, due to a phenomenon known as 'ray-effects'. A modified discrete ordinates (MDO) method is presented. The intensity is broken into diffuse and direct components. The direct intensity component is determined analytically, and the direct inscatter term appears as a distributed source in the transport equation for the diffuse intensity. The diffuse transport equation is solved numerically by the conventional discrete ordinates procedure. The MDO method is applied to solve the radiative transfer equation in two- and three-dimensional rectangular and cylindrical enclosures containing absorbing, emitting, and isotropically scattering media. Uniform and non-uniform diffuse loadings on the top boundary are considered. Graphical and numerical results for various geometries and loading parameters are presented. The standard discrete ordinates solution exhibits anomalies in the flux leaving the bottom. Large errors are observed when the loading area is small compared to the overall enclosure dimensions. The MDO method eliminates 'ray-effects' and significantly improves the accuracy of the predictions"--Abstract, leaf iv.
Download or read book Mathematical Modeling written by Ellis Cumberbatch and published by Cambridge University Press. This book was released on 2001-10 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents thirteen different case studies, ranging from cooking of cereal to the analysis of epidemic waves in animal populations.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
