Diffusive Corrections to Pn Approximations

Details Diffusive Corrections to Pn Approximations Diffusive Corrections to Pn Approximations

2009-07-13

arxiv.org/abs/0907.2099v1

Physics

Computational Physics

22 pages, 4 figures

Scientific paper

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.

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