Application of GSP3(0) to anisotropic scattering case using the GTIN method

Abstract The newly developed G S P 3 ( 0 ) theory has recently been numerically tested for the isotropic scattering case using the generalized transverse integration nodal (GTIN) method. The G S P 3 ( 0 ) theory is also valid for generic anisotropic scattering case, and in case of linear anisotropy it requires only a slightly different cross section manipulation and an additional down/up scattering anisotropic source. In this paper we show that the GTIN method can be easily adapted to solve the linearly anisotropic G S P 3 ( 0 ) equations. Numerical results for benchmark problems are reported to demonstrate that linearly anisotropic G S P 3 ( 0 ) equation may provide comparable or even better result than the popularly adopted transport corrected transport equation. The superiority of G S P 3 ( 0 ) over SP3 is demonstrated for the anisotropic case.