Transmission Probability Method based on triangle meshes is studied in this paper.The inte-rior source is assumed to be isotropic in angular distribution and constant in spatial distribution.The surface angular flux is assumed to be with simplified 4
P1 approximation in angle and average in space.A new grid sweep process based on unstructured-mesh coding number is adopted.TPTRI program is encoded which can be applied to the solution of neutron transport of arbitrary two-dimensional geometry.Several benchmark problems are calculated and the results are compared with MG-MCNP3B,SURCU and TEPFEM programs.The numerical analyses show that the results of TPTRI are in good agreements with that from other programs.