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    StaRMAP-A second order staggered grid method for spherical harmonics moment equations of radiative transfer

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    Genre
    Journal Article
    Date
    2014-01-01
    Author
    Seibold, B
    Frank, M
    Subject
    Algorithms
    Performance
    Theory
    Verification
    Radiative transfer
    method of moments
    numerical method
    hyperbolic balance law
    staggered grid
    Matlab
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/5904
    
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    DOI
    10.1145/2590808
    Abstract
    © 2014 ACM. We present a simple method to solve spherical harmonics moment systems, such as the the time-dependent PN and SPN equations, of radiative transfer. Themethod, which works for arbitrary moment order N, makes use of the specific coupling between the moments in the PN equations. This coupling naturally induces staggered grids in space and time, which in turn give rise to a canonical, second-order accurate finite difference scheme. While the scheme does not possess TVD or realizability limiters, its simplicity allows for a very efficient implementation in MATLAB. We present several test cases, some of which demonstrate that the code solves problems with ten million degrees of freedom in space, angle, and time within a few seconds. The code for the numerical scheme, called StaRMAP (Staggered grid Radiation Moment Approximation), along with files for all presented test cases, can be downloaded so that all results can be reproduced by the reader.
    Citation to related work
    Association for Computing Machinery (ACM)
    Has part
    ACM Transactions on Mathematical Software
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    For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/5886
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