A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913583445573632 |
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| author | Alnashri, Yahya |
| author_facet | Alnashri, Yahya |
| contents | In this work, we study the gradient discretisation method (GDM) of the time-dependent Navier-Stokes equations coupled with the heat equation, where the viscosity depends on the temperature. We design the discrete method and prove its convergence without non-physical conditions. The paper is closed with numerical experiments that confirm the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation Alnashri, Yahya Numerical Analysis In this work, we study the gradient discretisation method (GDM) of the time-dependent Navier-Stokes equations coupled with the heat equation, where the viscosity depends on the temperature. We design the discrete method and prove its convergence without non-physical conditions. The paper is closed with numerical experiments that confirm the theoretical results. |
| title | A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2411.14650 |