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  • Conference proceedings
  • © 2006

Computational Methods in Transport

Granlibakken 2004

Editors:

  1. Frank Graziani

    1. Lawrence Livermore National Laboratory, Livermore, U.S.A.

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Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 48)

Sections

Table of contents (26 papers)

  1. Front Matter

    Pages I-XVII
    PDF

  2. Astrophysics

    1. Front Matter

      Pages I-XVII
      PDF

    2. Radiation Hydrodynamics in Astrophysics

      • Chris L. Fryer
      Pages 1-14
      PDF
    3. PDF

    4. Neutrino Transport in Core Collapse Supernovae

      • Anthony Mezzacappa, Matthias Liebendörfer, Christian Y. Cardall, O.E. Bronson Messer, Stephen W. Bruenn
      Pages 35-68
      PDF
    5. PDF

  3. Atmospheric Science, Oceanography, and Plant Canopies

    1. Front Matter

      Pages I-XVII
      PDF
    2. PDF
    3. PDF

    4. Transport Theory for Optical Oceanography

      • N.J. McCormick
      Pages 151-163
      PDF

    5. Perturbation Technique in 3D Cloud Optics: Theory and Results

      • Igor N. Polonsky, Anthony B. Davis, Michael A. Box
      Pages 165-171
      PDF
    6. PDF

    7. Rayspread: A Virtual Laboratory for Rapid BRF Simulations Over 3-D Plant Canopies

      • Jean-Luc Widlowski, Thomas Lavergne, Bernard Pinty, Michel Verstraete, Nadine Gobron
      Pages 211-231
      PDF

  4. High Energy Density Physics

    1. Front Matter

      Pages I-XVII
      PDF

    2. Use of the Space Adaptive Algorithm to Solve 2D Problems of Photon Transport and Interaction with Medium

      • A. V. Alekseyev, R. M. Shagaliev, I. M. Belyakov, A. V. Gichuk, V. V. Evdokimov, A. N. Moskvin et al.
      Pages 235-254
      PDF
    3. PDF

    4. An Evaluation of the Difference Formulation for Photon Transport in a Two Level System

      • Frank Daffin, Michael Scott McKinley, Eugene D. Brooks III, Abraham SzÅ‘ke
      Pages 283-306
      PDF
    5. PDF

    6. Finite-Difference Methods Implemented in SATURN Complex to Solve Multidimensional Time-Dependent Transport Problems

      • R.M. Shagaliev, A.V. Alekseyev, A.V. Gichuk, A.A. Nuzhdin, N.P. Pleteneva, L.P. Fedotova
      Pages 327-352
      PDF
    7. PDF
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About this book

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 approximation is applied to the di?usion equation, the expense of solving what amounts to the simplest possible description of transport is roughly equal to the cost of implicit computational ?uid dynamics. It is clear therefore, that for those application areas needing some form of transport, fast, accurate and robust transport algorithms can lead to an increase in overall code performance and a decrease in time to solution.
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Keywords

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Editors and Affiliations

  • Lawrence Livermore National Laboratory, Livermore, U.S.A.

    Frank Graziani

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