CONSISTENT-B(N) THEORY FOR SLAB LATTICES

The integral transport equation is solved in periodic slab lattices in the case where a critical buckling search is performed. First, the an gular flux is factorized into two parts: a periodic microscopic flux a nd a macroscopic form with no angular dependence. The macroscopic form only depends on a buckling vector with a given orientation. The criti cal buckling norm along with the corresponding microscopic flux are ob tained using anisotropic collision probability calculations that are r epeated until criticality is achieved. This procedure allows the perio dic boundary conditions of slab lattices to be taken into account usin g closed-form contributions obtained from the cyclic-tracking techniqu e, without resorting to infinite series of exponential-integral evalua tions. Numerical results are presented for one-group heterogeneous pro blems with isotropic and anisotropic scattering kernels, some of which include void slit regions.