Diffusive Corrections to Pn Approximations
Computational Physics
2012-05-07 v1
Abstract
In this paper, we investigate moment methods from a general point of view using an operator notation. This theoretical approach lets us explore the moment closure problem in more detail. This gives rise to a new idea, proposed in [Levermore2005, Levermore2009], of how to improve the well-known Pn approximations. We systematically develop a diffusive correction to the Pn equations from the operator formulation - the so-called Dn approximation. We validate the new approach with numerical examples in one and two dimensions.
Cite
@article{arxiv.0907.2099,
title = {Diffusive Corrections to Pn Approximations},
author = {Matthias Schaefer and Martin Frank and C. David Levermore},
journal= {arXiv preprint arXiv:0907.2099},
year = {2012}
}
Comments
22 pages, 4 figures