Numerical Solution Methods For Radiative Transfer In Semitransparent Media
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Numerical Solution Methods For Radiative Transfer In Semitransparent Media
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Author : Frank Zingsheim
language : en
Publisher:
Release Date : 1999
Numerical Solution Methods For Radiative Transfer In Semitransparent Media written by Frank Zingsheim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Radiative Transfer Modeling
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Author : Weixue Tian
language : en
Publisher:
Release Date : 2005
Radiative Transfer Modeling written by Weixue Tian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Radiative Heat Transfer
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Author : Michael F. Modest
language : en
Publisher: Academic Press
Release Date : 2003-03-07
Radiative Heat Transfer written by Michael F. Modest and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-07 with Science categories.
The basic physics of radiative heat - how surfaces emit, reflect, and absorb waves, and how that heat is distributed.
Radiative Transfer In Moving Media
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Author : K.K. Sen
language : en
Publisher: Springer
Release Date : 1998-06
Radiative Transfer In Moving Media written by K.K. Sen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06 with Science categories.
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.
Radiative Transfer In Curved Media
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Author : K. K. Sen
language : en
Publisher: World Scientific
Release Date : 1990
Radiative Transfer In Curved Media written by K. K. Sen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
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.
Radiative Transfer
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Author : Hélène Frisch
language : en
Publisher: Springer Nature
Release Date : 2022-05-26
Radiative Transfer written by Hélène Frisch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-26 with Science categories.
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.
Radiative Heat Transfer
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Author : Michael F. Modest
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 1993
Radiative Heat Transfer written by Michael F. Modest and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Chaleur - Rayonnement et absorption categories.
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.
Radiative Transfer On Discrete Spaces
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Author : Rudolph W. Preisendorfer
language : en
Publisher: Elsevier
Release Date : 2014-07-18
Radiative Transfer On Discrete Spaces written by Rudolph W. Preisendorfer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Science categories.
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.
Some Approximations To The Radiative Transfer Equation And Their Applications
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Author : Qiwei Sheng
language : en
Publisher:
Release Date : 2013
Some Approximations To The Radiative Transfer Equation And Their Applications written by Qiwei Sheng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Fokker-Planck equation categories.
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.
Radiative Transfer Problems In Spherical Media
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Author : K. K. Sen
language : en
Publisher:
Release Date : 1984
Radiative Transfer Problems In Spherical Media written by K. K. Sen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.