Abstract
A strictly positive spatial discretization method for the linear transport equation is presented. This method, which is algebraically nonlinear, enforces particle conservation on subcells and approximates the spatial variation of the source in each subcell as an exponential. The method is described in slab geometry and analyzed in several limits of practical significance; numerical results are presented. An x-y-geometry version of the method is then presented, assuming a spatial grid of arbitrary polygons; numerical results are presented. A rapidly convergent method for accelerating the iterations on the scattering source is also presented and tested. The analyses and results demonstrate that the method is startlingly accurate, especially on shielding-type problems, even given coarse and/or distorted spatial meshes.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
