Tuesday,
February 7, 3:00 p.m. GWC 487
Cory D. Hauck
Oak Ridge National Laboratory
A Collision-Based Hybrid Method for Linear Transport
Abstract
We present a hybrid method for simulating kinetic equations with
multiscale phenomena in the context of linear transport. The method
consists of (i) partitioning the kinetic equation into collisional and
non-collisional components; (ii) applying a different numerical method to
each component; and (iii) re-partitioning the kinetic distribution after
each time step in the algorithm. Preliminary results show that, for a wide
range of test problems, the combination of a low-order method for the
collisional component and a high-order method for the non-collisional
component provides a level of accuracy that is comparable to a uniform
high-order treatment of the entire system.
This work is joint with Ryan McClarren, Texas A&M University.
