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DOE OSTI · 1079655

A Variational Method for Interpolation Between Zone Centers in 2-D Geometry

Brooks III, Eugene D.·Szoke, Abraham
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Abstract

Radiation-hydrodynamics codes are often based on a zone centered discretization strategy for the hydrodynamics, while transport requires a higher order interpolated treatment of the material state variable to produce a correct solution in optically thick media. In this paper, we use a variational method to generalize a previously developed 1-D interpolation method to 2-D geometries. While our interpolation method was developed to handle the gradient source term for thermal photons in the Difference Formulation, it may also be useful for the generation of an accurate zone centered discretization for diffusion methods. We provide a detailed description of the 2-D interpolation method and how it relates to the 1-D method that was developed earlier. We also discuss how this interpolation strategy can be extended to 3-D, but do not work through the details.

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97 MATHEMATICS AND COMPUTING

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Brooks III, Eugene D., Szoke, Abraham. 2013-05-01. A Variational Method for Interpolation Between Zone Centers in 2-D Geometry. https://doi.org/10.2172/1079655

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