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Titlebook: Computational Methods in Transport; Granlibakken 2004 Frank Graziani Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2006 App

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书目名称Computational Methods in Transport
副标题Granlibakken 2004
编辑Frank Graziani
视频videohttp://file.papertrans.cn/233/232800/232800.mp4
丛书名称Lecture Notes in Computational Science and Engineering
图书封面Titlebook: Computational Methods in Transport; Granlibakken 2004 Frank Graziani Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2006 App
描述Thereexistawiderangeofapplicationswhereasigni?cantfractionofthe- mentum and energy present in a physical problem is carried by the transport of particles. Depending on the speci?capplication, the particles involved may be photons, neutrons, neutrinos, or charged particles. Regardless of which phenomena is being described, at the heart of each application is the fact that a Boltzmann like transport equation has to be solved. The complexity, and hence expense, involved in solving the transport problem can be understood by realizing that the general solution to the 3D Boltzmann transport equation is in fact really seven dimensional: 3 spatial coordinates, 2 angles, 1 time, and 1 for speed or energy. Low-order appro- mations to the transport equation are frequently used due in part to physical justi?cation but many in cases, simply because a solution to the full tra- port problem is too computationally expensive. An example is the di?usion equation, which e?ectively drops the two angles in phase space by assuming that a linear representation in angle is adequate. Another approximation is the grey approximation, which drops the energy variable by averaging over it. If the grey approxima
出版日期Conference proceedings 2006
关键词Approximation; Monte Carlo method; algorithms; astrophysics; computational physics; density; diffusion; dyn
版次1
doihttps://doi.org/10.1007/3-540-28125-8
isbn_ebook978-3-540-28125-2Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer-Verlag Berlin Heidelberg 2006
The information of publication is updating

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https://doi.org/10.1007/978-3-642-57654-6ransport equation is solved by the Symbolic Implicit Monte Carlo (SIMC) method and a comparison is made between the standard formulation and the difference formulation. The SIMC method is easily adapted to the derivative source terms of the difference formulation, and a remarkable reduction in noise
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An Evaluation of the Difference Formulation for Photon Transport in a Two Level Systemmay limit the advantage of the method. We bypass this problem by using the gray approximation. We develop three Monte Carlo solution methods based on different degrees of implicitness for the treatment of the source terms, and we find only conditional stability unless the source terms are treated fully implicitly.
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Radiative Transfer in Astrophysical Applicationsonomical objects the radiation is so strong that it significantly contributes to the energy and momentum budget of the medium. Therefore, radiation is not only a . of the physical state, but is in fact an .. In other words, radiation in fact . the structure of the medium, yet the medium is probed . by this radiation.
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