On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical error
Recent developments on spectral diffusion algorithms, i.e., algorithms which exploit the projection of the solution on the eigenfunctions of the Laplacian operator, demonstrated their effective applicability in fast transient conditions. Nevertheless, the numerical error introduced by these algorith...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-04-01
|
| Series: | Nuclear Engineering and Technology |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1738573321006148 |
| _version_ | 1818282869445885952 |
|---|---|
| author | G. Zullo D. Pizzocri L. Luzzi |
| author_facet | G. Zullo D. Pizzocri L. Luzzi |
| author_sort | G. Zullo |
| collection | DOAJ |
| description | Recent developments on spectral diffusion algorithms, i.e., algorithms which exploit the projection of the solution on the eigenfunctions of the Laplacian operator, demonstrated their effective applicability in fast transient conditions. Nevertheless, the numerical error introduced by these algorithms, together with the uncertainties associated with model parameters, may impact the reliability of the predictions on short-lived volatile fission product release from nuclear fuel. In this work, we provide an upper bound on the numerical error introduced by the presented spectral diffusion algorithm, in both constant and time-varying conditions, depending on the number of modes and on the time discretization. The definition of this upper bound allows introducing a methodology to a priori bound the numerical error on short-lived volatile fission product retention. |
| first_indexed | 2024-12-13T00:27:52Z |
| format | Article |
| id | doaj.art-4c05267032b644e4847382828a7cef75 |
| institution | Directory Open Access Journal |
| issn | 1738-5733 |
| language | English |
| last_indexed | 2024-12-13T00:27:52Z |
| publishDate | 2022-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Engineering and Technology |
| spelling | doaj.art-4c05267032b644e4847382828a7cef752022-12-22T00:05:23ZengElsevierNuclear Engineering and Technology1738-57332022-04-0154411951205On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical errorG. Zullo0D. Pizzocri1L. Luzzi2Politecnico di Milano, Department of Energy, Nuclear Engineering Division, Via La Masa 34, 20156, Milan, ItalyPolitecnico di Milano, Department of Energy, Nuclear Engineering Division, Via La Masa 34, 20156, Milan, ItalyCorresponding author.; Politecnico di Milano, Department of Energy, Nuclear Engineering Division, Via La Masa 34, 20156, Milan, ItalyRecent developments on spectral diffusion algorithms, i.e., algorithms which exploit the projection of the solution on the eigenfunctions of the Laplacian operator, demonstrated their effective applicability in fast transient conditions. Nevertheless, the numerical error introduced by these algorithms, together with the uncertainties associated with model parameters, may impact the reliability of the predictions on short-lived volatile fission product release from nuclear fuel. In this work, we provide an upper bound on the numerical error introduced by the presented spectral diffusion algorithm, in both constant and time-varying conditions, depending on the number of modes and on the time discretization. The definition of this upper bound allows introducing a methodology to a priori bound the numerical error on short-lived volatile fission product retention.http://www.sciencedirect.com/science/article/pii/S1738573321006148Fission product releaseSpectral diffusion algorithmsDiffusion-decay equationError analysis |
| spellingShingle | G. Zullo D. Pizzocri L. Luzzi On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical error Nuclear Engineering and Technology Fission product release Spectral diffusion algorithms Diffusion-decay equation Error analysis |
| title | On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical error |
| title_full | On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical error |
| title_fullStr | On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical error |
| title_full_unstemmed | On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical error |
| title_short | On the use of spectral algorithms for the prediction of short-lived volatile fission product release: Methodology for bounding numerical error |
| title_sort | on the use of spectral algorithms for the prediction of short lived volatile fission product release methodology for bounding numerical error |
| topic | Fission product release Spectral diffusion algorithms Diffusion-decay equation Error analysis |
| url | http://www.sciencedirect.com/science/article/pii/S1738573321006148 |
| work_keys_str_mv | AT gzullo ontheuseofspectralalgorithmsforthepredictionofshortlivedvolatilefissionproductreleasemethodologyforboundingnumericalerror AT dpizzocri ontheuseofspectralalgorithmsforthepredictionofshortlivedvolatilefissionproductreleasemethodologyforboundingnumericalerror AT lluzzi ontheuseofspectralalgorithmsforthepredictionofshortlivedvolatilefissionproductreleasemethodologyforboundingnumericalerror |