Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation
Reduces memory requirements for solving the Boltzmann transport equation, benefiting computational simulations in nuclear engineering and radiation transport.
New implicit methods with reduced memory are developed for solving the time-dependent Boltzmann transport equation, achieving memory savings while maintaining accuracy in 1D slab geometry.
In this paper, new implicit methods with reduced memory are developed for solving the time-dependent Boltzmann transport equation (BTE). One-group transport problems in 1D slab geometry are considered. The reduced-memory methods are formulated for the BTE discretized with the linear-discontinuous scheme in space and backward-Euler time integration method. Numerical results are presented to demonstrate performance of the proposed numerical methods.