Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866909058363031552 |
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| author | Krier, Maxime Orlik, Julia Panasenko, Grigory Steiner, Konrad |
| author_facet | Krier, Maxime Orlik, Julia Panasenko, Grigory Steiner, Konrad |
| contents | This paper presents an efficient coupling of the 3D Stokes flow interacting with an effective perforated periodic heterogeneous anisotropic 2D plate. The effective model was obtained by the asymptotic analysis in earlier works and here an effective numerical algorithm is given. By $Q_3$ or bi-cubic spacial interpolation the time-dependent problem was reduced to an algebraic system of ordinary differential equation in time. Different examples were given, demonstrating the influence of the structural plate parameters on the solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00331 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid Krier, Maxime Orlik, Julia Panasenko, Grigory Steiner, Konrad Numerical Analysis Functional Analysis This paper presents an efficient coupling of the 3D Stokes flow interacting with an effective perforated periodic heterogeneous anisotropic 2D plate. The effective model was obtained by the asymptotic analysis in earlier works and here an effective numerical algorithm is given. By $Q_3$ or bi-cubic spacial interpolation the time-dependent problem was reduced to an algebraic system of ordinary differential equation in time. Different examples were given, demonstrating the influence of the structural plate parameters on the solution. |
| title | Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid |
| topic | Numerical Analysis Functional Analysis |
| url | https://arxiv.org/abs/2401.00331 |