Open Access3-D UNSTRUCTURED HEXAHEDRAL-MESH Sn TRANSPORT METHODS
Author(s) -
Jim E. Morel,
J.M. McGhee
Publication year - 2000
Language(s) - English
Resource type - Reports
DOI - 10.2172/768173
Subject(s) - discretization , hexahedron , polygon mesh , mathematics , computational science , finite element method , computer science , mesh generation , mathematical optimization , algorithm , mathematical analysis , physics , computer graphics (images) , thermodynamics
This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). We have developed a method for solving the neutral-particle transport equation on 3-D unstructured hexahedral meshes using a S{sub n} discretization in angle in conjunction with a discontinuous finite-element discretization in space and a multigroup discretization in energy. Previous methods for solving this equation in 3-D have been limited to rectangular meshes. The unstructured-mesh method that we have developed is far more efficient for solving problems with complex 3-D geometric features than rectangular-mesh methods. In spite of having to make several compromises in our spatial discretization technique and our iterative solution technique, our method has been found to be both accurate and efficient for a broad class of problems