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A Collision-Based Hybrid Method for Linear Transport

Tuesday, January 18, 3:30PM
POB 6.304

Cory D. Hauck

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.

Host: Irene Gamba