What is a limit of structure-preserving numerical methods for compressible flows?
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929228562300928 |
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| author | Lukacova-Medvidova, Maria She, Bangwei Yuan, Yuhuan |
| author_facet | Lukacova-Medvidova, Maria She, Bangwei Yuan, Yuhuan |
| contents | We present an overview of recent developments on the convergence analysis of numerical methods for inviscid multidimensional compressible flows that preserve underlying physical structures. We introduce the concept of generalized solutions, the so-called dissipative solutions, and explain their relationship to other commonly used solution concepts. In numerical experiments we apply K-convergence of numerical solutions and approximate turbulent solutions together with the Reynolds stress defect and the energy defect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16763 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | What is a limit of structure-preserving numerical methods for compressible flows? Lukacova-Medvidova, Maria She, Bangwei Yuan, Yuhuan Numerical Analysis We present an overview of recent developments on the convergence analysis of numerical methods for inviscid multidimensional compressible flows that preserve underlying physical structures. We introduce the concept of generalized solutions, the so-called dissipative solutions, and explain their relationship to other commonly used solution concepts. In numerical experiments we apply K-convergence of numerical solutions and approximate turbulent solutions together with the Reynolds stress defect and the energy defect. |
| title | What is a limit of structure-preserving numerical methods for compressible flows? |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2401.16763 |