Work

Krylov iterative methods applied to multidimensional S[sub n] calculations in the presence of material discontinuities

Year: 2002

Type: conference-paper

Abstract: We show that a Krylov iterative meihod, preconditioned with DSA, can be used to efficiently compute solutions to diffusive problems with discontinuities in material properties. We consider a lumped, linear discontinuous discretization of the S N transport equation with a 'partially consistent' DSA preconditioner. The Krylov method can be implemented in terms of the original S N source iteration coding with little modification. Results from numerical experiments show that replacing source iteration with a preconditioned Krylov method can efficiently solve problems that are virtually intractable with accelerated source iteration. Key Words: Krylov iterative methods, discrete ordinates, deterministic transport methods, diffusion synthetic acceleration

Source: University of North Texas Digital Library (University of North Texas)

Authors: Warsa, J. S. (James S.), Wareing, T. A. (Todd A.), Morel, J. E.

Institution: Los Alamos National Laboratory

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Los Alamos National Laboratory

Awards: G1702950523, G2713861829, G797745481

OpenAlex ID: W310426761

FWCI:

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