A ROBUST MULTIGRID PRECONDITIONER FOR S(N)DG APPROXIMATION OF MONOCHROMATIC, ISOTROPIC RADIATION TRANSPORT PROBLEMS Academic Article

abstract

• 2014 Society for Industrial and Applied Mathematics. We introduce a new stabilization for the SNDG (discrete ordinate discontinuous Galerkin) approximation of monochromatic radiation transport, and argue that solutions converge to solutions to the LDG method of Cockburn and Shu in the thick diffusion limit. Then, we develop a multilevel scheme for this discretization. Nonoverlapping Schwarz smoothers are based on solving local radiation transport problems for each grid cell. The ideal version of the smoother uses sweeps forward and backward in the direction of the diagonal of each octant. A simplified version of the multilevel solver runs on each cell in parallel, but lacks robustness in vacuum. In extensive tests we verify that the number of iterations for a given gain in accuracy is independent of the mesh size and the scattering cross section.

authors

• Ragusa, Jean

published proceedings

• SIAM JOURNAL ON SCIENTIFIC COMPUTING

author list (cited authors)

• Kanschat, G., & Ragusa, J.

citation count

• 14

complete list of authors

• Kanschat, G||Ragusa, J-C

publication date

• January 2014

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Scientific Computing  Journal

keywords

• Diffusive
• Discontinuous Galerkin
• Multigrid
• Radiation Transport
• Scattering Dominated

Digital Object Identifier (DOI)

• 10.1137/13091600X

start page

• A2326

end page

• A2345

volume

• 36

issue

• 5