Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method
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 fiss...
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| Format: | Article |
| Language: | English |
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2021
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| Online Access: | https://hdl.handle.net/1721.1/137826 |
| _version_ | 1826214208393445376 |
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| author | Roberts, J.A. Forget, B. |
| author_facet | Roberts, J.A. Forget, B. |
| author_sort | Roberts, J.A. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:01:49Z |
| format | Article |
| id | mit-1721.1/137826 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:01:49Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | mit-1721.1/1378262021-11-09T03:03:18Z Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method Roberts, J.A. Forget, B. 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. 2021-11-08T20:51:16Z 2021-11-08T20:51:16Z 2010 2019-06-20T12:57:46Z Article http://purl.org/eprint/type/ConferencePaper https://hdl.handle.net/1721.1/137826 Roberts, J.A. and Forget, B. 2010. "Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method." en http://www.ans.org/meetings/m_69 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Prof. Forget via Chris Sherratt |
| spellingShingle | Roberts, J.A. Forget, B. Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method |
| title | Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method |
| title_full | Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method |
| title_fullStr | Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method |
| title_full_unstemmed | Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method |
| title_short | Nonlinear Coarse Mesh Transport Using the Jacobian-Free Newton-Krylov Method |
| title_sort | nonlinear coarse mesh transport using the jacobian free newton krylov method |
| url | https://hdl.handle.net/1721.1/137826 |
| work_keys_str_mv | AT robertsja nonlinearcoarsemeshtransportusingthejacobianfreenewtonkrylovmethod AT forgetb nonlinearcoarsemeshtransportusingthejacobianfreenewtonkrylovmethod |