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| ¡¡ Discrete Ordinates Solutions of Threeª²Dimensional
Steady and Transient Neutron Transport Equations Abstract£ºSteady and a transient discrete ordinates neutron transport codes for threeª²dimensional
geometry were developed based on the program DOT4ª±2£®For the implementation of the timeª²dependence£¬a
direct method£¬ the fully implicit and unconditionally stable time integration scheme£¬
was employed£®The transient neutron transport equation was turned into the fixedª²source
neutron transport problem£¬ and solved by the steady transport code for each time step£®The
two codes were tested with the TAKEDA benchmark and several transient benchmark problems£®The
numerical results show that the effective multiplication factors and regionwise neutron
fluxes can be predicted accurately by the threeª²dimensional steady code with errors less
than 0.1£¥ and 4.0£¥ respectively£¬ for both delayed and prompt supercritical problems£¬the
obtained results agree very well with the benchmark problem ones£® |
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