Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929206641819648 |
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| author | Feireisl, Eduard Lukacova-Medvidova, Maria She, Bangwei Yuan, Yuhuan |
| author_facet | Feireisl, Eduard Lukacova-Medvidova, Maria She, Bangwei Yuan, Yuhuan |
| contents | We consider the Navier-Stokes-Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of the stochastic collocation and Monte Carlo numerical methods is shown under the hypothesis that approximate solutions are bounded in probability. Abstract results are illustrated by numerical experiments for the Rayleigh-Benard convection problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data Feireisl, Eduard Lukacova-Medvidova, Maria She, Bangwei Yuan, Yuhuan Numerical Analysis 35D35, 35Q79, 35Q30, 65C05, 65C20, 65M22 We consider the Navier-Stokes-Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of the stochastic collocation and Monte Carlo numerical methods is shown under the hypothesis that approximate solutions are bounded in probability. Abstract results are illustrated by numerical experiments for the Rayleigh-Benard convection problem. |
| title | Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data |
| topic | Numerical Analysis 35D35, 35Q79, 35Q30, 65C05, 65C20, 65M22 |
| url | https://arxiv.org/abs/2401.05674 |