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Two-dimensional fluid simulation of plasma reactors for the immobilization of krypton. (English) Zbl 0978.76064
Summary: Direct current glow discharge plasma sources were developed as reactors for immobilization of radioactive krypton recovered from the off-gas stream of a nuclear fuel reprocessing plant. In order to design these reactors, we perform here two-dimensional simulations using a fluid model coupled with Poisson’s equation. Nonlinear governing equations are approximated by a fully implicit scheme, and then are solved using the Newton-Krylov method. We investigate algorithm performance of two methods from Krylov projection techniques, namely the Bi-CGSTAB method and the transpose-free quasi-minimal residual (TFQMR) method. The results show that the Bi-CGSTAB method converges considerably faster than the TFQMR method. Direct current glow discharge plasmas in three types of krypton immobilization apparatuses are simulated to study the differences in electrode geometry. Simulation results agree qualitatively with measurements of electron density.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
82D75 Nuclear reactor theory; neutron transport
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