A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910631287848960 |
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| author | Moore, Ian Sanfilippo, Anna Ballarin, Francesco Iliescu, Traian |
| author_facet | Moore, Ian Sanfilippo, Anna Ballarin, Francesco Iliescu, Traian |
| contents | The approximate deconvolution Leray reduced order model (ADL-ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under-resolved numerical simulation of convection-dominated flows, ADL-ROM was shown to be significantly more stable than the standard ROM, and more accurate than the Leray ROM. In this paper, we prove a priori error bounds for the approximate deconvolution operator and ADL-ROM. To our knowledge, these are the first numerical analysis results for approximate deconvolution in a ROM context. We illustrate these numerical analysis results in the numerical simulation of convection-dominated flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02673 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model Moore, Ian Sanfilippo, Anna Ballarin, Francesco Iliescu, Traian Numerical Analysis The approximate deconvolution Leray reduced order model (ADL-ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under-resolved numerical simulation of convection-dominated flows, ADL-ROM was shown to be significantly more stable than the standard ROM, and more accurate than the Leray ROM. In this paper, we prove a priori error bounds for the approximate deconvolution operator and ADL-ROM. To our knowledge, these are the first numerical analysis results for approximate deconvolution in a ROM context. We illustrate these numerical analysis results in the numerical simulation of convection-dominated flows. |
| title | A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2410.02673 |