Diffusive Corrections to PN Approximations

نویسندگان

  • Matthias Schäfer
  • Martin Frank
  • C. David Levermore
چکیده

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 [14, 15], 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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عنوان ژورنال:
  • Multiscale Modeling & Simulation

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2011