Discrete Ordinate Hexagonal Nodal Method and CMFD Acceleration Technique

Discrete ordinate nodal method is a very effective method for solving the hexagonal neutron transport equation. Based on hexagonal transverse integrated discrete ordinate equation, the relationship of transverse integrated outgoing and incoming fluxes was analytically obtained. With hexagonal transport nodal neutron balance equation analog to diffusion method, a discrete ordinate hexagonal nodal numerical iteration strategy was obtained. Because discrete ordinate method converges slowly, a coarse mesh finite difference (CMFD) method was introduced for acceleration of hexagonal discrete ordinate method. Numerical results indicate that the method can achieve approximately 16 times accelerating effect.