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1. I need to be efficient, spatial discretization

For spatial discretization, Acuros partitions the computational volume (the CT image series)

into variable sized Cartesian elements.

Computational element size varies based on material properties and the

gradient of the scatter photon fluence

.

The spatial derivatives in the LBTEs are replaced by finite differences at multiple points

within each computational element

Supplementary equations are used to describe fluence variation between these points and

preserve particle balance (DFEM - linear discontinuous Galerkin finite-element method)

Hence the angular fluence is known everywhere in each element, not only at the points

where spatial derivatives are evaluated

BUT

spatial discretization errors can ensue at points in high fluence gradients

i

Δx

)1ix( ,

)

1ix

( ,

)ix(

,

−

+

=



gm

gm

x

gm