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Benchmarks for Verification of HEDP/IFE Codes

Ryan G. McClarren, Daniel Holladay

Fusion Science and Technology / Volume 60 / Number 2 / August 2011 / Pages 600-604

IFE Design & Technology / Proceedings of the Nineteenth Topical Meeting on the Technology of Fusion Energy (TOFE) (Part 2) / dx.doi.org/10.13182/FST11-A12449

We present the first semi-analytic radiation transport solutions for the three-temperature (3-T) model: the equations that couple radiation, electron, and ion energy density in a dense plasma. The problem we solve is the 3-T version of the Su-Olson problem considered in a recent radiation diffusion study for verification of a production HEDP code. After linearizing the equations, integral transforms are used to solve the equation, and the inverse transforms are computed numerically after considerable simplication. The results are compared to 2-T transport and 3-T diffusion solutions.