Volume 515, June 2010
|Number of page(s)||18|
|Section||Numerical methods and codes|
|Published online||11 June 2010|
Mathematical properties of the SimpleX algorithm
Leiden Observatory, Leiden University, Postbus 9513, 2300RA Leiden, The Netherlands e-mail: email@example.com
Accepted: 11 February 2010
Context. In the SimpleX radiative transfer algorithm, photons are transported on an unstructured Delaunay triangulation. This approach is non-standard, requiring a thorough analysis of possible systematic effects.
Aims. We verify whether the SimpleX radiative transfer algorithm conforms to mathematical expectations and develop both an error analysis and improvements to earlier versions of the code.
Methods. We use numerical simulations and classical statistics to obtain quantitative descriptions of the systematics of the SimpleX algorithm.
Results. We present a quantitative description of the error properties of SimpleX , numerical validation of the method and verification of the analytical results. Furthermore we describe improvements in accuracy and speed of the method.
Conclusions. It is possible to transport particles such as photons in a physically correct manner with the SimpleX algorithm. This requires the use of weighting schemes or the modification of the point process underlying the transport grid. We explore and apply several possibilities.
Key words: radiative transfer / methods: analytical / methods: numerical
© ESO, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.