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Ben Whewell

Publications and source records attributed to Ben Whewell.

4 recordsLinked to original sources

Application of Reinforcement Learning for Multigroup Energy Grid Optimization for Neutron Transport Criticality Problems

The optimization of energy group structures is integral to ensure the accuracy of multigroup neutron transport calculations. This works introduces the use of reinforcement learning (RL) with surrogate modeling to optimize the group structure for one-dimensional spherical k-criticality problems. The proximal policy optimization (PPO) RL algorithm is modified to be used with energy grid structures, rewarding accurate group structures while favoring fewer energy groups. This method starts from a high-fidelity energy grid and remove energy bounds until reaching a target energy structure. The RL agent identify which bounds are important for the final group structure, which prevent it being stuck in local minima without limiting the initial group structure. Neural network surrogate models that incorporate energy, material, and spatial information are used for evaluating energy grid structures without requiring full transport simulations. This alleviates the computational constraint commonly used in other group structure optimization problems in addition to accelerating the RL training process. Applied to Godiva and BeRP ball problems, the RL constructed group structures outperform commonly used group structures. The RL group structure optimization method is also shown to perform similar to the hierarchical agglomeration approach but offers more flexibility.

physics.comp-ph

Collision-Based Hybrid Method for Two-Dimensional Neutron Transport Problems

A collision-based hybrid method for the discrete ordinates approximation of the multigroup neutron transport equation is developed for two-dimensional time-dependent problems. At each time step, this algorithm splits the neutron transport equation into two equations, where the external source is part of the uncollided equation and the fission and scattering sources are part of the collided equation. Low fidelity energy and angular grids are used with the collided transport solution to decrease convergence time while high fidelity grids are used with the uncollided transport solution to limit discretization error. The hybrid method is shown to be a better solution in terms of both convergence time and accuracy to traditional monolithic coarsening schemes. This advantage is demonstrated for two-dimensional time-dependent problems with different materials using a second order temporal discretization scheme.

physics.comp-ph

Multigroup Neutron Transport using a Collision-Based Hybrid Method

A collision-based hybrid algorithm for the discrete ordinates approximation of the neutron transport equation is extended to the multigroup setting. The algorithm uses discrete energy and angle grids at two different resolutions and approximates the fission and scattering sources on the coarser grids. The coupling of a collided transport equation, discretized on the coarse grid, with an uncollided transport equation, discretized on the fine grid, yields an algorithm that, in most cases, is more efficient than the traditional multigroup approach. The improvement over existing techniques is demonstrated for time-dependent problems with different materials, geometries, and energy groups.

physics.comp-ph

Data Reduction in Deterministic Neutron Transport Calculations Using Machine Learning

Neutron cross section matrices for fission and scattering data are required for each material, temperature, and enrichment level to calculate the neutron transport equation accurately. This information can be a limiting factor when using the multigroup discrete ordinates (SN) method when the number of energy groups is large. Machine Learning (ML) can be used to replace the need for the cross section matrices by reproducing the function that maps the scalar flux to the scattering and fission sources. Through the use of autoencoders and Deep Jointly-Informed Neural Networks (DJINN), the data storage requirements are reduced by 94% of the original data for a 618 group problem. This is accomplished while preserving the scalar flux, maintaining generality, and decreasing wall clock times.

physics.comp-ph