Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method
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robertsj_ans_2010.pdf
Description
Accepted version
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162.32 KB
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Checksum (MD5)
c3923f0ce69fca67034e0be97bb27ab0
Author(s)
Roberts, J. A.
Forget, Benoit
Date Issued
2010
Citation
Roberts, J.A. and Forget, B. 2010. "Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method."
Version
Author's final manuscript
Abstract
This paper presents a nonlinear formulation of a coarse mesh transport method based on work performed in recent years at Georgia Tech[1, 2]. In the original formulation, a global problem is decomposed into local problems for which response functions are computed with the fission source treated implicitly. A global solution is found via outer iterations on the global eigenvalue and inner iterations on the lo-cal boundary conditions.By casting the problem in a nonlinear form,robust nonlinear solvers can be employed,which offer super linear convergence and may be easier to parallelize.
MIT Department
Lincoln Laboratory
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
http://www.ans.org/meetings/m_69
