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DOE OSTI · 1671054

Development of the finite slab geometry in the NORA code

Sherrill, Manolo Edgar
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Abstract

In this work we develop the complete linearization formalism for the radiation transfer equation in slab geometry. This development was motivated by an observed convergence instability arising from the NORA code’s inner boundary while modeling a suite of simple test problems in slab geometry presented at the Line Transfer Workshop held in LLNL in May of 2019. The convergence issue was seen to emerge early on in Newton-Raphson iterations. These test problems required parameters in the former NORA inner boundary to achieve the asymptotic limit of zero incoming intensity. In this work we derive the limiting case directly to gain insight into the former algorithm’s pathology.

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97 MATHEMATICS AND COMPUTINGComplete linearization methodnon-LTE atomic kinteticsradiation transfer

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Sherrill, Manolo Edgar. 2020-09-30. Development of the finite slab geometry in the NORA code. https://doi.org/10.2172/1671054

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