English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a simple method to solve spherical harmonics moment systems, suchas the the time-dependent $P_N$ and $SP_N$ equations, of radiative transfer.The method, which works for arbitrary moment order $N$, makes use of thespecific coupling between the moments in the $P_N$ equations. This couplingnaturally induces staggered grids in space and time, which in turn give rise toa canonical, second-order accurate finite difference scheme. While the schemedoes not possess TVD or realizability limiters, its simplicity allows for avery efficient implementation in Matlab. We present several test cases, some ofwhich demonstrate that the code solves problems with ten million degrees offreedom in space, angle, and time within a few seconds. The code for thenumerical scheme, called StaRMAP (Staggered grid Radiation MomentApproximation), along with files for all presented test cases, can bedownloaded so that all results can be reproduced by the reader.

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