Simulating hydrogen diffusion in a zirconium hydride moderator block and its impact on steady state neutronic-thermal behavior

Special Issue on ‘Overview of recent advances in HPC simulation methods for nuclear applications’, edited by Andrea Zoia, Elie Saikali, Cheikh Diop and Cyrille de Saint Jean

Open Access

Fig. 30.

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Root mean square error of hydrogen 0^th moments over time at three different powers with heat pipes at 1000 K. RMSE is calculated via ${RMSE}_{t} = \sqrt{(\sum_{N} {(μ_{n, t}^{0} - μ_{}^{0} n,ss)}^{2}) / N}$ $\text{ RMSE}_t=\sqrt{\left(\sum_N{\left(\mu^0_{n,t}-\mu^0_\text{ n,ss}\right)^2}\right)/N}$ where μ_n, t⁰ is the 0^th axial hydrogen moment for cell n at timestep t, μ_n,ss⁰ is the same value but from the steady state solution, and N is the total number of ZrH cells.

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