The Fast Discrete Interaction Approximation Concept
Hasselmann and coauthors proposed the discrete interaction approximation (DIA) as the best tool replacing the nonlinear evolution term in a numerical wind–wave model. Much later, Polnikov and Farina radically improved the original DIA by means of location all the interacting four wave vectors, used...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-10-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/5/4/176 |
| _version_ | 1797551341897252864 |
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| author | Vladislav Polnikov |
| author_facet | Vladislav Polnikov |
| author_sort | Vladislav Polnikov |
| collection | DOAJ |
| description | Hasselmann and coauthors proposed the discrete interaction approximation (DIA) as the best tool replacing the nonlinear evolution term in a numerical wind–wave model. Much later, Polnikov and Farina radically improved the original DIA by means of location all the interacting four wave vectors, used in the DIA configuration, exactly at the nodes of the numerical frequency–angular grid. This provides a nearly two-times enhancement of the speed of numerical calculation for the nonlinear evolution term in a wind–wave model. For this reason, the proposed version of the DIA was called as the fast DIA (FDIA). In this paper, we demonstrate all details of the FDIA concept for several frequency–angular numerical grids of high-resolution with the aim of active implementation of the FDIA in modern versions of world-wide used wind–wave models. |
| first_indexed | 2024-03-10T15:43:20Z |
| format | Article |
| id | doaj.art-4be52de89ac3443caaed356eeb018a78 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T15:43:20Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-4be52de89ac3443caaed356eeb018a782023-11-20T16:36:17ZengMDPI AGFluids2311-55212020-10-015417610.3390/fluids5040176The Fast Discrete Interaction Approximation ConceptVladislav Polnikov0A.M. Obukhov Institute of Atmospheric Physics of RAS, Moscow 119017, RussiaHasselmann and coauthors proposed the discrete interaction approximation (DIA) as the best tool replacing the nonlinear evolution term in a numerical wind–wave model. Much later, Polnikov and Farina radically improved the original DIA by means of location all the interacting four wave vectors, used in the DIA configuration, exactly at the nodes of the numerical frequency–angular grid. This provides a nearly two-times enhancement of the speed of numerical calculation for the nonlinear evolution term in a wind–wave model. For this reason, the proposed version of the DIA was called as the fast DIA (FDIA). In this paper, we demonstrate all details of the FDIA concept for several frequency–angular numerical grids of high-resolution with the aim of active implementation of the FDIA in modern versions of world-wide used wind–wave models.https://www.mdpi.com/2311-5521/5/4/176wind–wave modelingnonlinear waveskinetic integralinteracting wavesoptimal configuration |
| spellingShingle | Vladislav Polnikov The Fast Discrete Interaction Approximation Concept Fluids wind–wave modeling nonlinear waves kinetic integral interacting waves optimal configuration |
| title | The Fast Discrete Interaction Approximation Concept |
| title_full | The Fast Discrete Interaction Approximation Concept |
| title_fullStr | The Fast Discrete Interaction Approximation Concept |
| title_full_unstemmed | The Fast Discrete Interaction Approximation Concept |
| title_short | The Fast Discrete Interaction Approximation Concept |
| title_sort | fast discrete interaction approximation concept |
| topic | wind–wave modeling nonlinear waves kinetic integral interacting waves optimal configuration |
| url | https://www.mdpi.com/2311-5521/5/4/176 |
| work_keys_str_mv | AT vladislavpolnikov thefastdiscreteinteractionapproximationconcept AT vladislavpolnikov fastdiscreteinteractionapproximationconcept |