A hierarchical domain decomposition boundary element method with a higher order polynomial expansion for solving 2-D multiregion neutron diffusion equations.

摘要

A hierarchical domain decomposition boundary element method (HDD-BEM) for solving the multiregion neutron diffusion equation (NDE) has been developed to reduce computation time. The boundary integral equations derived from NDEs defined in homogeneous sub- regions are discretized with higher order boundary elements. The neutron flux and the neu- tron currents on boundary elements are expanded by quadratic or cubic polynomials.