Recently developed lattice Boltzmann equation (LBE) framework [1, 2] for radiation transport is extended to solve time-dependent non-equilibrium radiative and neutron tranport problems. Dynamics of radiation and material energy exchange is modeled by coupling radiation transport equation with the material energy equation in a one-dimensional isotropically scattering homogenous medium. The LBE solutions are compared against the existing semi-analytical P 1 benchmark and show good agreement for different times. Furthermore, a two-dimensional D 2 Q 8 lattice Boltzmann method is proposed for solving the neutron transport equation in a heterogenous media (e.g., checkerboard lattice with pure scattering and absorbing cells). The results obtained with LBE are in good agreement with the existing discrete ordinate method results for the benchmark problem.
The recently developed lattice Boltzmann equation (LBE) framework [1] for radiation transport is extended to solve time-dependent nonequilibrium neutron transport problems. Dynamics of radiation and material energy exchange is modeled by coupling the radiation transport equation with the material energy equation in a one-dimensional isotropically scattering homogenous medium. The LBE equations are obtained for corresponding radiative or neutron transport in constant source and reactor criticality search problems. Furthermore, a two-dimensional D2Q8 & D2Q16 LBEs are proposed for solving the time-dependent neutron transport equation in a heterogenous media (e.g., a checkerboard lattice with pure scattering and absorbing cells). The results obtained with LBE are in good agreement with the existing discrete ordinate method results for the benchmark problem.
To vanquish the ever increasing demand of energy and trounce the carbon dioxide emission; the human race is looking towards the renewables and nuclear energy as the plausible sources. During the past few years the general public consensus about the later have taken a negative turn; attributed to the Fukushima nuclear disaster. To counter this nuclear unit designers have proposed the idea of Accident Tolerant Fuels (ATF) together with a blend of passive methods of heat removal. To this end an innovative ATF cooled by boiling water in normal conditions and SCW (Super Critical Water) during the accident condition is in the pre-conceptual levels of development at Seoul National University, Korea. Various considerations are to be taken into account while designing the fuel assembly. One of the key challenges which is to be discussed here is the flow instability or flow perturbations, which may pose a considerable challenge to the heat transfer, can induce failure of control mechanism and lead to fatigue damage of reactor components. To counter this precise control of the parameters affecting the system both in normal and accident condition should be done, which may require detailed experimental and numerical investigations within the purview of the proposed system.
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