The numerical solution of the time dependent transport equation is considered for subcritical injected systems. The scope of the work is to assess the performance of time-implicit discretization schemes of common use.The numerical discretization error is studied with the Fourier method; the separate effects of the time discretization and of the space and angle discretizations are considered.The computational effort required to simulate paradigmatic transients is evaluated.To reduce the costs a modified diffusion acceleration method is proposed, which provides accurate results with substantially lower computational cost.
Assessment of Numerical Methods for Time-Dependent Transport Calculations of Subcritical Systems
Carta, M.;
1998-10-05
Abstract
The numerical solution of the time dependent transport equation is considered for subcritical injected systems. The scope of the work is to assess the performance of time-implicit discretization schemes of common use.The numerical discretization error is studied with the Fourier method; the separate effects of the time discretization and of the space and angle discretizations are considered.The computational effort required to simulate paradigmatic transients is evaluated.To reduce the costs a modified diffusion acceleration method is proposed, which provides accurate results with substantially lower computational cost.File in questo prodotto:
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