Status and Future of FASTBUS

A modified linear discontinuous spatial discretization method in planar geometry

“…(2). The standard way of doing this is to iterate on the scattering term on the right-hand side of E q .…”

“…The standard way of doing this is to iterate on the scattering term on the right-hand side of E q . ( 2 ) , usually employing an acceleration scheme to improve the convergence rate of the iteration process. If we let i denote the iteration index, one must solve at each point in the iteration process a simple equation given by (at this point we drop the time index n and group index g for simplicity of notation) where uj is the (assumed constant) value X ( 9 ) j+1/2 ' < x < x of the cross section in the jrh cell.…”

S4 solution of the transport equation for eigenvalues using Legendre polynomials

“…The methods developed for the solution of the transport equation can be interpreted as deterministic (such as polynomial expansion based techniques, integral transform methods) and stochastic (such as Monte Carlo, MCNP, source iteration). In a stochastic approach, the transport equation is usually converted into a discrete ordinate form (S N ) [1][2][3].…”

Discrete ordinates (SN) method for the first solution of the transport equation using Chebyshev polynomials

“…Among them, the Monte Carlo (MCNP) and the source iteration (SI) techniques are extensively used in the solution algorithm of the transport equation. While the MCNP method is one of the first methods, the SI method is reported to converge rapidly for optically thin and slowly for optically thick problems [1,2]. Therefore, alternative methods are always looking for the numerical solution of the S N transport equation.…”